Geometry of the time-dependent variational principle in quantum mechanics:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin u.a.
Springer
1981
|
| Schriftenreihe: | Lecture notes in physics.
140. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IV, 98 S. graph. Darst. |
| ISBN: | 3540105794 0387105794 |
Internformat
MARC
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| 100 | 1 | |a Kramer, Peter |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Geometry of the time-dependent variational principle in quantum mechanics |c Peter Kramer ; Marcos Saraceno |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1981 | |
| 300 | |a IV, 98 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Datensatz im Suchindex
| _version_ | 1804116451102031872 |
|---|---|
| adam_text | 1. Introduction 1
2. The time-dependent variational principle (TDVP) 3
2.1 TDVP for non-normalized states 3
2.2 Parametrization of the wave function 5
2.3 Equations of motion 7
2.4- Symplectic structure 10
2.5 Complex analytic parametrization 11
3. Lie algebras and symplectic structures 15
3.1 Basic definitions 15
3.2 The group action onj^,, X„ and T 17
3.3 Semisimple Lie algebras 2o
3.4- Reduction of the symplectic form to an orbit 23
4- Symplectic structure on group representation spaces 25
4.1 Symplectic structures and representation spaces of
a group 25
4.2 Analytic parametrization of orbits and symplectic
structures for representations of real compact semi-
simple groups 29
5. Geometry of the TDVP 37
5.1 Action of the group on the reference state 37
5.2 Non-degeneracy of the symplectic structure 39
5.3 The Hamiltonian 40
6. Simple applications 41
6.1 The Weyl group 41
6.2 The group SU(2) 45
6.3 The Lipkin model 53
7. The unitary group and examples from many-body physics 63
7.1 The unitary unimodular group Stl(3) 63
7.2 Symplectic structure for the time-dependent Hartree-
Fock method 71
IV
8. The group SU(1,1) and rotationally invariant Hamiltonians 77
8.1 The group SL(2, |R) 77
8.2 Analytic parametrization for the group SU(1,1) 83
8.3 Rotationally invariant two-body Hamiltonians 88
9. Summary 94
References 97
|
| any_adam_object | 1 |
| author | Kramer, Peter Saraceno, Marcos |
| author_facet | Kramer, Peter Saraceno, Marcos |
| author_role | aut aut |
| author_sort | Kramer, Peter |
| author_variant | p k pk m s ms |
| building | Verbundindex |
| bvnumber | BV002003044 |
| callnumber-first | Q - Science |
| callnumber-label | QC174 |
| callnumber-raw | QC174.17.V53 |
| callnumber-search | QC174.17.V53 |
| callnumber-sort | QC 3174.17 V53 |
| callnumber-subject | QC - Physics |
| classification_rvk | UD 8220 |
| ctrlnum | (OCoLC)7550989 (DE-599)BVBBV002003044 |
| 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 | Book |
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| genre | Zeitabhängiges Variationsprinzip gnd Quantentechnik gnd |
| genre_facet | Zeitabhängiges Variationsprinzip Quantentechnik |
| id | DE-604.BV002003044 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:38:43Z |
| institution | BVB |
| isbn | 3540105794 0387105794 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001306651 |
| oclc_num | 7550989 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-20 DE-706 DE-83 DE-11 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-20 DE-706 DE-83 DE-11 |
| physical | IV, 98 S. graph. Darst. |
| publishDate | 1981 |
| publishDateSearch | 1981 |
| publishDateSort | 1981 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in physics. |
| series2 | Lecture notes in physics. |
| spelling | Kramer, Peter Verfasser aut Geometry of the time-dependent variational principle in quantum mechanics Peter Kramer ; Marcos Saraceno Berlin u.a. Springer 1981 IV, 98 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics. 140. Fisica (Estudo E Ensino) larpcal Kwantumveldentheorie gtt Lie-groepen gtt Meetkunde gtt Principes variationnels Théorie quantique Théorie quantique ram Variatierekening gtt Geometric quantization Variational principles Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Variationsprinzip (DE-588)4062354-3 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Zeitabhängiges Variationsprinzip gnd rswk-swf Quantentechnik gnd rswk-swf Quantenmechanik (DE-588)4047989-4 s Variationsrechnung (DE-588)4062355-5 s DE-604 Variationsprinzip (DE-588)4062354-3 s Quantentheorie (DE-588)4047992-4 s Zeitabhängiges Variationsprinzip f Quantentechnik f 1\p DE-604 Saraceno, Marcos Verfasser aut Lecture notes in physics. 140. (DE-604)BV000003166 140 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001306651&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kramer, Peter Saraceno, Marcos Geometry of the time-dependent variational principle in quantum mechanics Lecture notes in physics. Fisica (Estudo E Ensino) larpcal Kwantumveldentheorie gtt Lie-groepen gtt Meetkunde gtt Principes variationnels Théorie quantique Théorie quantique ram Variatierekening gtt Geometric quantization Variational principles Variationsrechnung (DE-588)4062355-5 gnd Variationsprinzip (DE-588)4062354-3 gnd Quantenmechanik (DE-588)4047989-4 gnd Quantentheorie (DE-588)4047992-4 gnd |
| subject_GND | (DE-588)4062355-5 (DE-588)4062354-3 (DE-588)4047989-4 (DE-588)4047992-4 |
| title | Geometry of the time-dependent variational principle in quantum mechanics |
| title_auth | Geometry of the time-dependent variational principle in quantum mechanics |
| title_exact_search | Geometry of the time-dependent variational principle in quantum mechanics |
| title_full | Geometry of the time-dependent variational principle in quantum mechanics Peter Kramer ; Marcos Saraceno |
| title_fullStr | Geometry of the time-dependent variational principle in quantum mechanics Peter Kramer ; Marcos Saraceno |
| title_full_unstemmed | Geometry of the time-dependent variational principle in quantum mechanics Peter Kramer ; Marcos Saraceno |
| title_short | Geometry of the time-dependent variational principle in quantum mechanics |
| title_sort | geometry of the time dependent variational principle in quantum mechanics |
| topic | Fisica (Estudo E Ensino) larpcal Kwantumveldentheorie gtt Lie-groepen gtt Meetkunde gtt Principes variationnels Théorie quantique Théorie quantique ram Variatierekening gtt Geometric quantization Variational principles Variationsrechnung (DE-588)4062355-5 gnd Variationsprinzip (DE-588)4062354-3 gnd Quantenmechanik (DE-588)4047989-4 gnd Quantentheorie (DE-588)4047992-4 gnd |
| topic_facet | Fisica (Estudo E Ensino) Kwantumveldentheorie Lie-groepen Meetkunde Principes variationnels Théorie quantique Variatierekening Geometric quantization Variational principles Variationsrechnung Variationsprinzip Quantenmechanik Quantentheorie Zeitabhängiges Variationsprinzip Quantentechnik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001306651&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
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