Symmetries in quantum physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
San Diego
Academic Press
c1996
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | This text focuses on the physics of symmetries, developing symmetries and transformations through concrete physical examples and contexts rather than presenting the information axiomatically, mathematically, and abstractly. Readers are introduced gradually to advanced mathematical procedures, including the Wigner and Racah algebras and their applications to various symmetry groups. The book also includes some of the latest research on the use of non-invariance and non-compact groups in the consideration of relativistic and many-particle problems of atoms and nuclei. This book is an updated replacement for the text Irreducible Tensorial Sets (Academic Press, 1959). Parts A and B of the present book grew out of occasional lectures in the intervening decades at the University of Chicago, where it became neccessary to update or elaborate upon certain points. Part C has been built more recently to deal with innovations and new information in the field of mathematical physics. The book as a whole develops the subject of symmetry from a physical point of view, allowing students and researchers to gain new insight on their subject. This book can be used both as a text and as a reference by students and scientists in the field. Adapts and extends the earlier Irreducible Tensor Sets (Academic Press, 1959) to classroom use Extends to multi-particle systems and relativity Includes problems in each chapter for homework assignments Embraces the latest research on non-invariance groups Introduction: Symmetry and the Selection of Variables. Algebraic Elements. Reduction Procedure and Irreducible Tensorial Sets. Further Aspects of Reduction. Structure of the Book. Quaternions. Part A: State Representatives and r<$>-Transformations: Their Construction and Properties. Infinitesimal Rotations and Angular Momentum:<$> Basic Relations. Analytical Example: Infinitesimal Transformation of Cartesian Coordinates. The Angular Momentum Matrices of Quantum Mechanics. The Fundamental Representation. Frame Reversal and Complex Conjugation:<$> Analytical Representation and Implications of Frame Reversal. Contragradience and the Construction of Invariants. Cartesian Base for Integer j<$> [greater than or equal to sign here]1. Standard r<$>-Transformation Matrices and Their Applications:<$> Explicit Form and Properties. Macroscopic Applications. Applications to Quantum Physics. Coordinate Inversion and Parity Eigenfunctions. - Reduction of Direct Products (Addition of Angular Momenta):<$> Structure and Properties of the Reducing Matrix. Reduction of r<$>-Transformation Products. Irreducible Product Sets. Symmetrization of Wigner Coefficients: Invariant Triple Product and 3-j<$> Coefficients. Part B: Tensorial Aspects of Quantum Physics.<$> Tensorial Sets of Quantum Operators:<$> The Liouville Representation of Quantum Mechanics. Quantum Mechanics of Particles with Spin 1/2. Two-Level Systems. Particles With Spin j<$1/2: Wigner-Eckart Theorem. Systems with 2j<$>+1 Levels. Transfer of Angular Momentum. Calculation of Matrix Elements. Recoupling Transformations: 6-j<$> and 9-j<$> Coefficients:<$> Transformation Matrices and Their Analysis. Symmetrized Recoupling: 6-j<$> and9-j<$> Coefficients. Products of Operators. Combining Operators of Different Systems. Illustrations. Partially Filled Shells of Atoms or Nuclei:<$> Qualitative Discussion. Shell-wide Treatment. - Algebra of Triple Tensors and Its Applications. PartC: Symmetries of Higher Dimensions.<$> Discrete Transformations of Coordinates:<$> Point Symmetry Operations and Their Groups. Characters of Group Representations and Their Applications. Symmetries of Molecules and Crystals. Rotation Groups in Higher Dimensions: Multiparticle Problems:<$> Four-Dimensional Rotations: the Coulomb-Kepler Problem. Orthogonal Groups in Higher Dimensions. Further Developments. Lorentz Transformations and the Lorentz and Poincare Groups:<$> Lorentz Transformations. Generators and Representations of the Lorentz Group. The Inhomogenous Lorentz (Poincare) Group. Field Representations. Symmetries of the Scattering Continuum:<$> Symmetries of Radial Eigenfunctions. The Full Noninvariance Group of Hydrogen. Dynamics as Symmetry Transformations. Bibliography. Index Includes bibliographical references (p. 313-316) and index |
| Beschreibung: | 1 Online-Ressource (xiv, 333 p.) |
| ISBN: | 0080542174 012248455X 1281059021 9780080542171 9780122484551 9781281059024 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV043044912 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 151123s1996 |||| o||u| ||||||eng d | ||
| 020 | |a 0080542174 |c electronic bk. |9 0-08-054217-4 | ||
| 020 | |a 012248455X |9 0-12-248455-X | ||
| 020 | |a 1281059021 |9 1-281-05902-1 | ||
| 020 | |a 9780080542171 |c electronic bk. |9 978-0-08-054217-1 | ||
| 020 | |a 9780122484551 |9 978-0-12-248455-1 | ||
| 020 | |a 9781281059024 |9 978-1-281-05902-4 | ||
| 035 | |a (OCoLC)162129088 | ||
| 035 | |a (DE-599)BVBBV043044912 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-1046 |a DE-1047 | ||
| 082 | 0 | |a 530.1/2 |2 22 | |
| 100 | 1 | |a Fano, Ugo |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Symmetries in quantum physics |c U. Fano, A.R.P. Rau |
| 264 | 1 | |a San Diego |b Academic Press |c c1996 | |
| 300 | |a 1 Online-Ressource (xiv, 333 p.) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a This text focuses on the physics of symmetries, developing symmetries and transformations through concrete physical examples and contexts rather than presenting the information axiomatically, mathematically, and abstractly. Readers are introduced gradually to advanced mathematical procedures, including the Wigner and Racah algebras and their applications to various symmetry groups. The book also includes some of the latest research on the use of non-invariance and non-compact groups in the consideration of relativistic and many-particle problems of atoms and nuclei. This book is an updated replacement for the text Irreducible Tensorial Sets (Academic Press, 1959). Parts A and B of the present book grew out of occasional lectures in the intervening decades at the University of Chicago, where it became neccessary to update or elaborate upon certain points. Part C has been built more recently to deal with innovations and new information in the field of mathematical physics. The book as a whole develops the subject of symmetry from a physical point of view, allowing students and researchers to gain new insight on their subject. This book can be used both as a text and as a reference by students and scientists in the field. Adapts and extends the earlier Irreducible Tensor Sets (Academic Press, 1959) to classroom use Extends to multi-particle systems and relativity Includes problems in each chapter for homework assignments Embraces the latest research on non-invariance groups | ||
| 500 | |a Introduction: Symmetry and the Selection of Variables. Algebraic Elements. Reduction Procedure and Irreducible Tensorial Sets. Further Aspects of Reduction. Structure of the Book. Quaternions. Part A: State Representatives and r<$>-Transformations: Their Construction and Properties. Infinitesimal Rotations and Angular Momentum:<$> Basic Relations. Analytical Example: Infinitesimal Transformation of Cartesian Coordinates. The Angular Momentum Matrices of Quantum Mechanics. The Fundamental Representation. Frame Reversal and Complex Conjugation:<$> Analytical Representation and Implications of Frame Reversal. Contragradience and the Construction of Invariants. Cartesian Base for Integer j<$> [greater than or equal to sign here]1. Standard r<$>-Transformation Matrices and Their Applications:<$> Explicit Form and Properties. Macroscopic Applications. Applications to Quantum Physics. Coordinate Inversion and Parity Eigenfunctions. | ||
| 500 | |a - Reduction of Direct Products (Addition of Angular Momenta):<$> Structure and Properties of the Reducing Matrix. Reduction of r<$>-Transformation Products. Irreducible Product Sets. Symmetrization of Wigner Coefficients: Invariant Triple Product and 3-j<$> Coefficients. Part B: Tensorial Aspects of Quantum Physics.<$> Tensorial Sets of Quantum Operators:<$> The Liouville Representation of Quantum Mechanics. Quantum Mechanics of Particles with Spin 1/2. Two-Level Systems. Particles With Spin j<$1/2: Wigner-Eckart Theorem. Systems with 2j<$>+1 Levels. Transfer of Angular Momentum. Calculation of Matrix Elements. Recoupling Transformations: 6-j<$> and 9-j<$> Coefficients:<$> Transformation Matrices and Their Analysis. Symmetrized Recoupling: 6-j<$> and9-j<$> Coefficients. Products of Operators. Combining Operators of Different Systems. Illustrations. Partially Filled Shells of Atoms or Nuclei:<$> Qualitative Discussion. Shell-wide Treatment. | ||
| 500 | |a - Algebra of Triple Tensors and Its Applications. PartC: Symmetries of Higher Dimensions.<$> Discrete Transformations of Coordinates:<$> Point Symmetry Operations and Their Groups. Characters of Group Representations and Their Applications. Symmetries of Molecules and Crystals. Rotation Groups in Higher Dimensions: Multiparticle Problems:<$> Four-Dimensional Rotations: the Coulomb-Kepler Problem. Orthogonal Groups in Higher Dimensions. Further Developments. Lorentz Transformations and the Lorentz and Poincare Groups:<$> Lorentz Transformations. Generators and Representations of the Lorentz Group. The Inhomogenous Lorentz (Poincare) Group. Field Representations. Symmetries of the Scattering Continuum:<$> Symmetries of Radial Eigenfunctions. The Full Noninvariance Group of Hydrogen. Dynamics as Symmetry Transformations. Bibliography. Index | ||
| 500 | |a Includes bibliographical references (p. 313-316) and index | ||
| 650 | 7 | |a SCIENCE / Physics / Quantum Theory |2 bisacsh | |
| 650 | 7 | |a Mathematical physics |2 fast | |
| 650 | 7 | |a Quantum theory / Mathematics |2 fast | |
| 650 | 7 | |a Symmetry (Physics) / Methodology |2 fast | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Quantum theory |x Mathematics | |
| 650 | 4 | |a Symmetry (Physics) |x Methodology | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 0 | 7 | |a Symmetrie |0 (DE-588)4058724-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantenphysik |0 (DE-588)4266670-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantentheorie |0 (DE-588)4047992-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematische Physik |0 (DE-588)4037952-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Quantentheorie |0 (DE-588)4047992-4 |D s |
| 689 | 0 | 1 | |a Symmetrie |0 (DE-588)4058724-1 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Symmetrie |0 (DE-588)4058724-1 |D s |
| 689 | 1 | 1 | |a Quantenphysik |0 (DE-588)4266670-3 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 689 | 2 | 0 | |a Quantentheorie |0 (DE-588)4047992-4 |D s |
| 689 | 2 | 1 | |a Mathematische Physik |0 (DE-588)4037952-8 |D s |
| 689 | 2 | |8 3\p |5 DE-604 | |
| 700 | 1 | |a Rau, A. R. P. |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=210374 |x Aggregator |3 Volltext |
| 912 | |a ZDB-4-EBA | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-028469450 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=210374 |l FAW01 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=210374 |l FAW02 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804175411273269248 |
|---|---|
| any_adam_object | |
| author | Fano, Ugo |
| author_facet | Fano, Ugo |
| author_role | aut |
| author_sort | Fano, Ugo |
| author_variant | u f uf |
| building | Verbundindex |
| bvnumber | BV043044912 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)162129088 (DE-599)BVBBV043044912 |
| dewey-full | 530.1/2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1/2 |
| dewey-search | 530.1/2 |
| dewey-sort | 3530.1 12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>07274nmm a2200757zc 4500</leader><controlfield tag="001">BV043044912</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">151123s1996 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0080542174</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">0-08-054217-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">012248455X</subfield><subfield code="9">0-12-248455-X</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1281059021</subfield><subfield code="9">1-281-05902-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780080542171</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-0-08-054217-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780122484551</subfield><subfield code="9">978-0-12-248455-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781281059024</subfield><subfield code="9">978-1-281-05902-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)162129088</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043044912</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1046</subfield><subfield code="a">DE-1047</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.1/2</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Fano, Ugo</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Symmetries in quantum physics</subfield><subfield code="c">U. Fano, A.R.P. Rau</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">San Diego</subfield><subfield code="b">Academic Press</subfield><subfield code="c">c1996</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xiv, 333 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This text focuses on the physics of symmetries, developing symmetries and transformations through concrete physical examples and contexts rather than presenting the information axiomatically, mathematically, and abstractly. Readers are introduced gradually to advanced mathematical procedures, including the Wigner and Racah algebras and their applications to various symmetry groups. The book also includes some of the latest research on the use of non-invariance and non-compact groups in the consideration of relativistic and many-particle problems of atoms and nuclei. This book is an updated replacement for the text Irreducible Tensorial Sets (Academic Press, 1959). Parts A and B of the present book grew out of occasional lectures in the intervening decades at the University of Chicago, where it became neccessary to update or elaborate upon certain points. Part C has been built more recently to deal with innovations and new information in the field of mathematical physics. The book as a whole develops the subject of symmetry from a physical point of view, allowing students and researchers to gain new insight on their subject. This book can be used both as a text and as a reference by students and scientists in the field. Adapts and extends the earlier Irreducible Tensor Sets (Academic Press, 1959) to classroom use Extends to multi-particle systems and relativity Includes problems in each chapter for homework assignments Embraces the latest research on non-invariance groups</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Introduction: Symmetry and the Selection of Variables. Algebraic Elements. Reduction Procedure and Irreducible Tensorial Sets. Further Aspects of Reduction. Structure of the Book. Quaternions. Part A: State Representatives and r<$>-Transformations: Their Construction and Properties. Infinitesimal Rotations and Angular Momentum:<$> Basic Relations. Analytical Example: Infinitesimal Transformation of Cartesian Coordinates. The Angular Momentum Matrices of Quantum Mechanics. The Fundamental Representation. Frame Reversal and Complex Conjugation:<$> Analytical Representation and Implications of Frame Reversal. Contragradience and the Construction of Invariants. Cartesian Base for Integer j<$> [greater than or equal to sign here]1. Standard r<$>-Transformation Matrices and Their Applications:<$> Explicit Form and Properties. Macroscopic Applications. Applications to Quantum Physics. Coordinate Inversion and Parity Eigenfunctions. </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a"> - Reduction of Direct Products (Addition of Angular Momenta):<$> Structure and Properties of the Reducing Matrix. Reduction of r<$>-Transformation Products. Irreducible Product Sets. Symmetrization of Wigner Coefficients: Invariant Triple Product and 3-j<$> Coefficients. Part B: Tensorial Aspects of Quantum Physics.<$> Tensorial Sets of Quantum Operators:<$> The Liouville Representation of Quantum Mechanics. Quantum Mechanics of Particles with Spin 1/2. Two-Level Systems. Particles With Spin j<$1/2: Wigner-Eckart Theorem. Systems with 2j<$>+1 Levels. Transfer of Angular Momentum. Calculation of Matrix Elements. Recoupling Transformations: 6-j<$> and 9-j<$> Coefficients:<$> Transformation Matrices and Their Analysis. Symmetrized Recoupling: 6-j<$> and9-j<$> Coefficients. Products of Operators. Combining Operators of Different Systems. Illustrations. Partially Filled Shells of Atoms or Nuclei:<$> Qualitative Discussion. Shell-wide Treatment. </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a"> - Algebra of Triple Tensors and Its Applications. PartC: Symmetries of Higher Dimensions.<$> Discrete Transformations of Coordinates:<$> Point Symmetry Operations and Their Groups. Characters of Group Representations and Their Applications. Symmetries of Molecules and Crystals. Rotation Groups in Higher Dimensions: Multiparticle Problems:<$> Four-Dimensional Rotations: the Coulomb-Kepler Problem. Orthogonal Groups in Higher Dimensions. Further Developments. Lorentz Transformations and the Lorentz and Poincare Groups:<$> Lorentz Transformations. Generators and Representations of the Lorentz Group. The Inhomogenous Lorentz (Poincare) Group. Field Representations. Symmetries of the Scattering Continuum:<$> Symmetries of Radial Eigenfunctions. The Full Noninvariance Group of Hydrogen. Dynamics as Symmetry Transformations. Bibliography. Index</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (p. 313-316) and index</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">SCIENCE / Physics / Quantum Theory</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematical physics</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Quantum theory / Mathematics</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Symmetry (Physics) / Methodology</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematische Physik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantentheorie</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantum theory</subfield><subfield code="x">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Symmetry (Physics)</subfield><subfield code="x">Methodology</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical physics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Symmetrie</subfield><subfield code="0">(DE-588)4058724-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quantenphysik</subfield><subfield code="0">(DE-588)4266670-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quantentheorie</subfield><subfield code="0">(DE-588)4047992-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Physik</subfield><subfield code="0">(DE-588)4037952-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Quantentheorie</subfield><subfield code="0">(DE-588)4047992-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Symmetrie</subfield><subfield code="0">(DE-588)4058724-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Symmetrie</subfield><subfield code="0">(DE-588)4058724-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Quantenphysik</subfield><subfield code="0">(DE-588)4266670-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Quantentheorie</subfield><subfield code="0">(DE-588)4047992-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Mathematische Physik</subfield><subfield code="0">(DE-588)4037952-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rau, A. R. P.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=210374</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-028469450</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">3\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=210374</subfield><subfield code="l">FAW01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=210374</subfield><subfield code="l">FAW02</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043044912 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:15:51Z |
| institution | BVB |
| isbn | 0080542174 012248455X 1281059021 9780080542171 9780122484551 9781281059024 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028469450 |
| oclc_num | 162129088 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xiv, 333 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Academic Press |
| record_format | marc |
| spelling | Fano, Ugo Verfasser aut Symmetries in quantum physics U. Fano, A.R.P. Rau San Diego Academic Press c1996 1 Online-Ressource (xiv, 333 p.) txt rdacontent c rdamedia cr rdacarrier This text focuses on the physics of symmetries, developing symmetries and transformations through concrete physical examples and contexts rather than presenting the information axiomatically, mathematically, and abstractly. Readers are introduced gradually to advanced mathematical procedures, including the Wigner and Racah algebras and their applications to various symmetry groups. The book also includes some of the latest research on the use of non-invariance and non-compact groups in the consideration of relativistic and many-particle problems of atoms and nuclei. This book is an updated replacement for the text Irreducible Tensorial Sets (Academic Press, 1959). Parts A and B of the present book grew out of occasional lectures in the intervening decades at the University of Chicago, where it became neccessary to update or elaborate upon certain points. Part C has been built more recently to deal with innovations and new information in the field of mathematical physics. The book as a whole develops the subject of symmetry from a physical point of view, allowing students and researchers to gain new insight on their subject. This book can be used both as a text and as a reference by students and scientists in the field. Adapts and extends the earlier Irreducible Tensor Sets (Academic Press, 1959) to classroom use Extends to multi-particle systems and relativity Includes problems in each chapter for homework assignments Embraces the latest research on non-invariance groups Introduction: Symmetry and the Selection of Variables. Algebraic Elements. Reduction Procedure and Irreducible Tensorial Sets. Further Aspects of Reduction. Structure of the Book. Quaternions. Part A: State Representatives and r<$>-Transformations: Their Construction and Properties. Infinitesimal Rotations and Angular Momentum:<$> Basic Relations. Analytical Example: Infinitesimal Transformation of Cartesian Coordinates. The Angular Momentum Matrices of Quantum Mechanics. The Fundamental Representation. Frame Reversal and Complex Conjugation:<$> Analytical Representation and Implications of Frame Reversal. Contragradience and the Construction of Invariants. Cartesian Base for Integer j<$> [greater than or equal to sign here]1. Standard r<$>-Transformation Matrices and Their Applications:<$> Explicit Form and Properties. Macroscopic Applications. Applications to Quantum Physics. Coordinate Inversion and Parity Eigenfunctions. - Reduction of Direct Products (Addition of Angular Momenta):<$> Structure and Properties of the Reducing Matrix. Reduction of r<$>-Transformation Products. Irreducible Product Sets. Symmetrization of Wigner Coefficients: Invariant Triple Product and 3-j<$> Coefficients. Part B: Tensorial Aspects of Quantum Physics.<$> Tensorial Sets of Quantum Operators:<$> The Liouville Representation of Quantum Mechanics. Quantum Mechanics of Particles with Spin 1/2. Two-Level Systems. Particles With Spin j<$1/2: Wigner-Eckart Theorem. Systems with 2j<$>+1 Levels. Transfer of Angular Momentum. Calculation of Matrix Elements. Recoupling Transformations: 6-j<$> and 9-j<$> Coefficients:<$> Transformation Matrices and Their Analysis. Symmetrized Recoupling: 6-j<$> and9-j<$> Coefficients. Products of Operators. Combining Operators of Different Systems. Illustrations. Partially Filled Shells of Atoms or Nuclei:<$> Qualitative Discussion. Shell-wide Treatment. - Algebra of Triple Tensors and Its Applications. PartC: Symmetries of Higher Dimensions.<$> Discrete Transformations of Coordinates:<$> Point Symmetry Operations and Their Groups. Characters of Group Representations and Their Applications. Symmetries of Molecules and Crystals. Rotation Groups in Higher Dimensions: Multiparticle Problems:<$> Four-Dimensional Rotations: the Coulomb-Kepler Problem. Orthogonal Groups in Higher Dimensions. Further Developments. Lorentz Transformations and the Lorentz and Poincare Groups:<$> Lorentz Transformations. Generators and Representations of the Lorentz Group. The Inhomogenous Lorentz (Poincare) Group. Field Representations. Symmetries of the Scattering Continuum:<$> Symmetries of Radial Eigenfunctions. The Full Noninvariance Group of Hydrogen. Dynamics as Symmetry Transformations. Bibliography. Index Includes bibliographical references (p. 313-316) and index SCIENCE / Physics / Quantum Theory bisacsh Mathematical physics fast Quantum theory / Mathematics fast Symmetry (Physics) / Methodology fast Mathematik Mathematische Physik Quantentheorie Quantum theory Mathematics Symmetry (Physics) Methodology Mathematical physics Symmetrie (DE-588)4058724-1 gnd rswk-swf Quantenphysik (DE-588)4266670-3 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Quantentheorie (DE-588)4047992-4 s Symmetrie (DE-588)4058724-1 s 1\p DE-604 Quantenphysik (DE-588)4266670-3 s 2\p DE-604 Mathematische Physik (DE-588)4037952-8 s 3\p DE-604 Rau, A. R. P. Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=210374 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fano, Ugo Symmetries in quantum physics SCIENCE / Physics / Quantum Theory bisacsh Mathematical physics fast Quantum theory / Mathematics fast Symmetry (Physics) / Methodology fast Mathematik Mathematische Physik Quantentheorie Quantum theory Mathematics Symmetry (Physics) Methodology Mathematical physics Symmetrie (DE-588)4058724-1 gnd Quantenphysik (DE-588)4266670-3 gnd Quantentheorie (DE-588)4047992-4 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4058724-1 (DE-588)4266670-3 (DE-588)4047992-4 (DE-588)4037952-8 |
| title | Symmetries in quantum physics |
| title_auth | Symmetries in quantum physics |
| title_exact_search | Symmetries in quantum physics |
| title_full | Symmetries in quantum physics U. Fano, A.R.P. Rau |
| title_fullStr | Symmetries in quantum physics U. Fano, A.R.P. Rau |
| title_full_unstemmed | Symmetries in quantum physics U. Fano, A.R.P. Rau |
| title_short | Symmetries in quantum physics |
| title_sort | symmetries in quantum physics |
| topic | SCIENCE / Physics / Quantum Theory bisacsh Mathematical physics fast Quantum theory / Mathematics fast Symmetry (Physics) / Methodology fast Mathematik Mathematische Physik Quantentheorie Quantum theory Mathematics Symmetry (Physics) Methodology Mathematical physics Symmetrie (DE-588)4058724-1 gnd Quantenphysik (DE-588)4266670-3 gnd Quantentheorie (DE-588)4047992-4 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | SCIENCE / Physics / Quantum Theory Mathematical physics Quantum theory / Mathematics Symmetry (Physics) / Methodology Mathematik Mathematische Physik Quantentheorie Quantum theory Mathematics Symmetry (Physics) Methodology Symmetrie Quantenphysik |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=210374 |
| work_keys_str_mv | AT fanougo symmetriesinquantumphysics AT rauarp symmetriesinquantumphysics |