Mathematical Concepts of Quantum Mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The first fifteen chapters of these lectures (omitting four to six chapters each year) cover a one term course taken by a mixed group of senior undergraduate and junior graduate students specializing either in mathematics or physics. Typically, the mathematics students have some background in advanced analysis, while the physics students have had introductory quantum mechanics. To satisfy such a disparate audience, we decided to select material which is interesting from the viewpoint of modern theoretical physics, and which illustrates an interplay of ideas from various fields of mathematics such as operator theory, probability, differential equations, and differential geometry. Given our time constraint, we have often pursued mathematical content at the expense of rigor. However, wherever we have sacrificed the latter, we have tried to explain whether the result is an established fact, or, mathematically speaking, a conjecture, and in the former case, how a given argument can be made rigorous. The present book retains these features |
| Beschreibung: | 1 Online-Ressource (X, 253 p) |
| ISBN: | 9783642557293 9783540441601 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-3-642-55729-3 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042422610 | ||
| 003 | DE-604 | ||
| 005 | 20171019 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s2003 |||| o||u| ||||||eng d | ||
| 020 | |a 9783642557293 |c Online |9 978-3-642-55729-3 | ||
| 020 | |a 9783540441601 |c Print |9 978-3-540-44160-1 | ||
| 024 | 7 | |a 10.1007/978-3-642-55729-3 |2 doi | |
| 035 | |a (OCoLC)869863288 | ||
| 035 | |a (DE-599)BVBBV042422610 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 515.7 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Gustafson, Stephen J. |d 1972- |e Verfasser |0 (DE-588)124948987 |4 aut | |
| 245 | 1 | 0 | |a Mathematical Concepts of Quantum Mechanics |c by Stephen J. Gustafson, Israel Michael Sigal |
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 2003 | |
| 300 | |a 1 Online-Ressource (X, 253 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Universitext |x 0172-5939 | |
| 500 | |a The first fifteen chapters of these lectures (omitting four to six chapters each year) cover a one term course taken by a mixed group of senior undergraduate and junior graduate students specializing either in mathematics or physics. Typically, the mathematics students have some background in advanced analysis, while the physics students have had introductory quantum mechanics. To satisfy such a disparate audience, we decided to select material which is interesting from the viewpoint of modern theoretical physics, and which illustrates an interplay of ideas from various fields of mathematics such as operator theory, probability, differential equations, and differential geometry. Given our time constraint, we have often pursued mathematical content at the expense of rigor. However, wherever we have sacrificed the latter, we have tried to explain whether the result is an established fact, or, mathematically speaking, a conjecture, and in the former case, how a given argument can be made rigorous. The present book retains these features | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Functional analysis | |
| 650 | 4 | |a Quantum theory | |
| 650 | 4 | |a Functional Analysis | |
| 650 | 4 | |a Theoretical, Mathematical and Computational Physics | |
| 650 | 4 | |a Quantum Physics | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Quantentheorie | |
| 650 | 0 | 7 | |a Mathematische Physik |0 (DE-588)4037952-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantenmechanik |0 (DE-588)4047989-4 |2 gnd |9 rswk-swf |
| 655 | 7 | |8 1\p |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
| 689 | 0 | 0 | |a Quantenmechanik |0 (DE-588)4047989-4 |D s |
| 689 | 0 | 1 | |a Mathematische Physik |0 (DE-588)4037952-8 |D s |
| 689 | 0 | |8 2\p |5 DE-604 | |
| 700 | 1 | |a Sigal, Israel Michael |d 1945- |e Sonstige |0 (DE-588)110612043 |4 oth | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-642-55729-3 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027858027 | ||
| 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 | |
Datensatz im Suchindex
| _version_ | 1804153097302310912 |
|---|---|
| any_adam_object | |
| author | Gustafson, Stephen J. 1972- |
| author_GND | (DE-588)124948987 (DE-588)110612043 |
| author_facet | Gustafson, Stephen J. 1972- |
| author_role | aut |
| author_sort | Gustafson, Stephen J. 1972- |
| author_variant | s j g sj sjg |
| building | Verbundindex |
| bvnumber | BV042422610 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)869863288 (DE-599)BVBBV042422610 |
| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7 |
| dewey-search | 515.7 |
| dewey-sort | 3515.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-55729-3 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03144nmm a2200565zc 4500</leader><controlfield tag="001">BV042422610</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20171019 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s2003 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642557293</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-642-55729-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540441601</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-540-44160-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-642-55729-3</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)869863288</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042422610</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-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.7</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Gustafson, Stephen J.</subfield><subfield code="d">1972-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)124948987</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Mathematical Concepts of Quantum Mechanics</subfield><subfield code="c">by Stephen J. Gustafson, Israel Michael Sigal</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, Heidelberg</subfield><subfield code="b">Springer Berlin Heidelberg</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (X, 253 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="490" ind1="0" ind2=" "><subfield code="a">Universitext</subfield><subfield code="x">0172-5939</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">The first fifteen chapters of these lectures (omitting four to six chapters each year) cover a one term course taken by a mixed group of senior undergraduate and junior graduate students specializing either in mathematics or physics. Typically, the mathematics students have some background in advanced analysis, while the physics students have had introductory quantum mechanics. To satisfy such a disparate audience, we decided to select material which is interesting from the viewpoint of modern theoretical physics, and which illustrates an interplay of ideas from various fields of mathematics such as operator theory, probability, differential equations, and differential geometry. Given our time constraint, we have often pursued mathematical content at the expense of rigor. However, wherever we have sacrificed the latter, we have tried to explain whether the result is an established fact, or, mathematically speaking, a conjecture, and in the former case, how a given argument can be made rigorous. The present book retains these features</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantum theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Theoretical, Mathematical and Computational Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantum Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantentheorie</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="650" ind1="0" ind2="7"><subfield code="a">Quantenmechanik</subfield><subfield code="0">(DE-588)4047989-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4123623-3</subfield><subfield code="a">Lehrbuch</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Quantenmechanik</subfield><subfield code="0">(DE-588)4047989-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" 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="0" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Sigal, Israel Michael</subfield><subfield code="d">1945-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)110612043</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-642-55729-3</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027858027</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></record></collection> |
| genre | 1\p (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV042422610 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783642557293 9783540441601 |
| issn | 0172-5939 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858027 |
| oclc_num | 869863288 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (X, 253 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Universitext |
| spelling | Gustafson, Stephen J. 1972- Verfasser (DE-588)124948987 aut Mathematical Concepts of Quantum Mechanics by Stephen J. Gustafson, Israel Michael Sigal Berlin, Heidelberg Springer Berlin Heidelberg 2003 1 Online-Ressource (X, 253 p) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 The first fifteen chapters of these lectures (omitting four to six chapters each year) cover a one term course taken by a mixed group of senior undergraduate and junior graduate students specializing either in mathematics or physics. Typically, the mathematics students have some background in advanced analysis, while the physics students have had introductory quantum mechanics. To satisfy such a disparate audience, we decided to select material which is interesting from the viewpoint of modern theoretical physics, and which illustrates an interplay of ideas from various fields of mathematics such as operator theory, probability, differential equations, and differential geometry. Given our time constraint, we have often pursued mathematical content at the expense of rigor. However, wherever we have sacrificed the latter, we have tried to explain whether the result is an established fact, or, mathematically speaking, a conjecture, and in the former case, how a given argument can be made rigorous. The present book retains these features Mathematics Functional analysis Quantum theory Functional Analysis Theoretical, Mathematical and Computational Physics Quantum Physics Mathematik Quantentheorie Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Quantenmechanik (DE-588)4047989-4 s Mathematische Physik (DE-588)4037952-8 s 2\p DE-604 Sigal, Israel Michael 1945- Sonstige (DE-588)110612043 oth https://doi.org/10.1007/978-3-642-55729-3 Verlag 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 |
| spellingShingle | Gustafson, Stephen J. 1972- Mathematical Concepts of Quantum Mechanics Mathematics Functional analysis Quantum theory Functional Analysis Theoretical, Mathematical and Computational Physics Quantum Physics Mathematik Quantentheorie Mathematische Physik (DE-588)4037952-8 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4047989-4 (DE-588)4123623-3 |
| title | Mathematical Concepts of Quantum Mechanics |
| title_auth | Mathematical Concepts of Quantum Mechanics |
| title_exact_search | Mathematical Concepts of Quantum Mechanics |
| title_full | Mathematical Concepts of Quantum Mechanics by Stephen J. Gustafson, Israel Michael Sigal |
| title_fullStr | Mathematical Concepts of Quantum Mechanics by Stephen J. Gustafson, Israel Michael Sigal |
| title_full_unstemmed | Mathematical Concepts of Quantum Mechanics by Stephen J. Gustafson, Israel Michael Sigal |
| title_short | Mathematical Concepts of Quantum Mechanics |
| title_sort | mathematical concepts of quantum mechanics |
| topic | Mathematics Functional analysis Quantum theory Functional Analysis Theoretical, Mathematical and Computational Physics Quantum Physics Mathematik Quantentheorie Mathematische Physik (DE-588)4037952-8 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Mathematics Functional analysis Quantum theory Functional Analysis Theoretical, Mathematical and Computational Physics Quantum Physics Mathematik Quantentheorie Mathematische Physik Quantenmechanik Lehrbuch |
| url | https://doi.org/10.1007/978-3-642-55729-3 |
| work_keys_str_mv | AT gustafsonstephenj mathematicalconceptsofquantummechanics AT sigalisraelmichael mathematicalconceptsofquantummechanics |