Lectures on quantum mechanics for mathematics students:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Weitere Verfasser: | |
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2009]
|
| Schriftenreihe: | Student mathematical library
volume 47 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 234 Seiten Illustrationen, Diagramme |
| ISBN: | 9780821846995 |
Internformat
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| 240 | 1 | 0 | |a Lekcii po kvantovoj mechanike dlja studentov-matematikov |
| 245 | 1 | 0 | |a Lectures on quantum mechanics for mathematics students |c L. D. Faddeev, O. A. Yakubovskiī ; translated by Harold McFaden |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2009] | |
| 264 | 4 | |c © 2009 | |
| 300 | |a XII, 234 Seiten |b Illustrationen, Diagramme | ||
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Datensatz im Suchindex
| _version_ | 1804139193395314688 |
|---|---|
| adam_text | Titel: Lectures on quantum mechanics for mathematics students
Autor: Faddeev, Ljudvig D.
Jahr: 2009
Contents
Preface ix
Preface to the English Edition xi
§1. The algebra of observables in classical mechanics 1
§2. States 6
§3. Liouville s theorem, and two pictures of motion in
classical mechanics 13
§4. Physical bases of quantum mechanics 15
§5. A finite-dimensional model of quantum mechanics 27
§6. States in quantum mechanics 32
§7. Heisenberg uncertainty relations 36
§8. Physical meaning of the eigenvalues and eigenvectors of
observables 39
§9. Two pictures of motion in quantum mechanics. The
Schrodinger equation. Stationary states 44
§10. Quantum mechanics of real systems. The Heisenberg
commutation relations 49
§11. Coordinate and momentum representations 54
§12. Eigenfunctions of the operators Q and P 60
§13. The energy, the angular momentum, and other examples
of observables 63
v
vj Contents
814 The interconnection between quantum and classical
o *
mechanics. Passage to the limit from quantum
mechanics to classical mechanics 69
§15. One-dimensional problems of quantum mechanics. A
free one-dimensional particle 77
816 The harmonic oscillator 83
§17. The problem of the oscillator in the coordinate
representation 87
§18. Representation of the states of a one-dimensional
particle in the sequence space l2 90
§19. Representation of the states for a one-dimensional
particle in the space V of entire analytic functions 94
§20. The general case of one-dimensional motion 95
§21. Three-dimensional problems in quantum mechanics. A
three-dimensional free particle 103
§22. A three-dimensional particle in a potential field 104
§23. Angular momentum 106
§24. The rotation group 108
§25. Representations of the rotation group HI
§26. Spherically symmetric operators 114
§27. Representation of rotations by 2 x 2 unitary matrices 117
§28. Representation of the rotation group on a space of entire
analytic functions of two complex variables 120
§29. Uniqueness of the representations Dj 123
§30. Representations of the rotation group on the space
L2(S2). Spherical functions 127
§31. The radial Schrodinger equation 130
§32. The hydrogen atom. The alkali metal atoms 136
§33. Perturbation theory 147
§34. The variational principle 154
§35. Scattering theory. Physical formulation of the problem 157
§36. Scattering of a one-dimensional particle by a potential
barrier 159
Contents vii
§37. Physical meaning of the solutions xp and fo 164
§38. Scattering by a rectangular barrier 167
§39. Scattering by a potential center 169
§40. Motion of wave packets in a central force field 175
§41. The integral equation of scattering theory 181
§42. Derivation of a formula for the cross-section 183
§43. Abstract scattering theory 188
§44. Properties of commuting operators 197
§45. Representation of the state space with respect to a
complete set of observables 201
§46. Spin 203
§47. Spin of a system of two electrons 208
§48. Systems of many particles. The identity principle 212
§49. Symmetry of the coordinate wave functions of a system
of two electrons. The helium atom 215
§50. Multi-electron atoms. One-electron approximation 217
§51. The self-consistent field equations 223
§52. Mendeleev s periodic system of the elements 226
Appendix: Lagrangian Formulation of Classical Mechanics 231
|
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| author | Faddeev, Ljudvig D. 1934-2017 Jakubovskij, Oleg A. 1938- |
| author2 | McFaden, Harold |
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| dewey-full | 530.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
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| discipline | Physik Mathematik |
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| id | DE-604.BV035549413 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:40:11Z |
| institution | BVB |
| isbn | 9780821846995 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017605345 |
| oclc_num | 278980827 |
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| physical | XII, 234 Seiten Illustrationen, Diagramme |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Student mathematical library |
| series2 | Student mathematical library |
| spelling | Faddeev, Ljudvig D. 1934-2017 Verfasser (DE-588)120897288 aut Lekcii po kvantovoj mechanike dlja studentov-matematikov Lectures on quantum mechanics for mathematics students L. D. Faddeev, O. A. Yakubovskiī ; translated by Harold McFaden Providence, Rhode Island American Mathematical Society [2009] © 2009 XII, 234 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Student mathematical library volume 47 Quantentheorie Quantum theory Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 s Mathematische Physik (DE-588)4037952-8 s DE-604 Jakubovskij, Oleg A. 1938- Verfasser (DE-588)138145385 aut McFaden, Harold trl Erscheint auch als Online-Ausgabe 978-1-4704-1633-1 Student mathematical library volume 47 (DE-604)BV013184751 47 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017605345&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Faddeev, Ljudvig D. 1934-2017 Jakubovskij, Oleg A. 1938- Lectures on quantum mechanics for mathematics students Student mathematical library Quantentheorie Quantum theory Mathematische Physik (DE-588)4037952-8 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4047989-4 |
| title | Lectures on quantum mechanics for mathematics students |
| title_alt | Lekcii po kvantovoj mechanike dlja studentov-matematikov |
| title_auth | Lectures on quantum mechanics for mathematics students |
| title_exact_search | Lectures on quantum mechanics for mathematics students |
| title_full | Lectures on quantum mechanics for mathematics students L. D. Faddeev, O. A. Yakubovskiī ; translated by Harold McFaden |
| title_fullStr | Lectures on quantum mechanics for mathematics students L. D. Faddeev, O. A. Yakubovskiī ; translated by Harold McFaden |
| title_full_unstemmed | Lectures on quantum mechanics for mathematics students L. D. Faddeev, O. A. Yakubovskiī ; translated by Harold McFaden |
| title_short | Lectures on quantum mechanics for mathematics students |
| title_sort | lectures on quantum mechanics for mathematics students |
| topic | Quantentheorie Quantum theory Mathematische Physik (DE-588)4037952-8 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Quantentheorie Quantum theory Mathematische Physik Quantenmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017605345&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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