A concise treatise on quantum mechanics in phase space:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; Hackensack, NJ ; London
World Scientific
[2014]
[London] Imperial College Press [2014] |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | x, 159 Seiten Diagramme, Portraits |
| ISBN: | 9789814520430 9789814520447 |
Internformat
MARC
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| 245 | 1 | 0 | |a A concise treatise on quantum mechanics in phase space |c Thomas L. Curtright (University of Miami, USA), David B. Fairlie (University of Durham, UK), Cosmas K. Zachos (Argonne National Laboratory, USA) |
| 264 | 1 | |a Singapore ; Hackensack, NJ ; London |b World Scientific |c [2014] | |
| 264 | 1 | |a [London] |b Imperial College Press |c [2014] | |
| 264 | 4 | |c © 2014 | |
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Datensatz im Suchindex
| _version_ | 1804152355854221312 |
|---|---|
| adam_text | Contents
Preface ix
1. Historical Survey 1
2. Introduction 29
3. The Wigner Function 35
4. Solving for the Wigner Function 43
5. The Uncertainty Principle 52
6. Ehrenfest5s Theorem 56
7. Illustration: The Harmonic Oscillator 60
8. Time Evolution 68
9. Non-Diagonal Wigner Functions 74
10. Stationary Perturbation Theory 78
11. Propagators and Canonical Transformations 82
vii
vm
Contents
12. The Weyl Correspondence 91
13. Alternate Rules of Association 100
14. The Groenewold-van Hove Theorem; The
Uniqueness of MBs and -^-Products 106
15. Advanced Topic: Quasi-Hermitian Quantum
Systems 109
16. Omitted Miscellany 122
17. Synopses of Selected Papers 124
Bibliography and References 131
Index 157
A Concise Treatise on
Quantum Mechanics in Phase Space
This is a text on quantum mechanics formulated simultaneously in terms of
position and momentum, i.e. in phase space. It is written at an introductory level,
drawing on the remarkable history of the subject for inspiration and motivation.
Wigncr functions — density matrices in a special Weyl representation — and star
products arc the cornerstones of the formalism.
The resulting framework is a rich source of physical intuition. It has been used to
describe transport in quantum optics, structure and dynamics in nuclear physics,
chaos, and dccohercnce in quantum computing. It is also of importance in signal
processing arid the mathematics of algebraic deformation. A remarkable aspect
of its internal logic, pioneered by Groencwold and Moyal, has only emerged in
the last quarter-century: it furnishes a third, alternative way to formulate and
understand quantum mechanics, independent of the conventional Hilbert space
or path integral approaches to the subject.
In this logically complete and self-standing formulation, one need not choose sides
between coordinate or momentum space variables. It works in full phase space,
accommodating the uncertainty principle; and it offers unique insights into the
classical limit of quantum theory. The observables in this formulation arc c-numbcr
functions in phase space instead of operators, with the same interpretation as
their classical counterparts, only composed together in novel algebraic ways
using star products.
This treatise provides an introductory overview and supplementary material
suitable for an advanced undergraduate or a beginning graduate course in
quantum mechanics.
|
| any_adam_object | 1 |
| author | Curtright, Thomas L. 1948- Fairlie, David 1935- Zachos, Cosmas 1951- |
| author_GND | (DE-588)1139296523 (DE-588)1073272419 (DE-588)1122145829 |
| author_facet | Curtright, Thomas L. 1948- Fairlie, David 1935- Zachos, Cosmas 1951- |
| author_role | aut aut aut |
| author_sort | Curtright, Thomas L. 1948- |
| author_variant | t l c tl tlc d f df c z cz |
| building | Verbundindex |
| bvnumber | BV041965455 |
| classification_rvk | UK 1000 |
| classification_tum | PHY 020f |
| ctrlnum | (OCoLC)887808142 (DE-599)GBV750351187 |
| dewey-full | 530.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
| dewey-sort | 3530.12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV041965455 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:09:24Z |
| institution | BVB |
| isbn | 9789814520430 9789814520447 |
| language | English |
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| physical | x, 159 Seiten Diagramme, Portraits |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | World Scientific Imperial College Press |
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| spelling | Curtright, Thomas L. 1948- Verfasser (DE-588)1139296523 aut A concise treatise on quantum mechanics in phase space Thomas L. Curtright (University of Miami, USA), David B. Fairlie (University of Durham, UK), Cosmas K. Zachos (Argonne National Laboratory, USA) Singapore ; Hackensack, NJ ; London World Scientific [2014] [London] Imperial College Press [2014] © 2014 x, 159 Seiten Diagramme, Portraits txt rdacontent n rdamedia nc rdacarrier Phasenraum (DE-588)4139912-2 gnd rswk-swf Quantenphysik (DE-588)4266670-3 gnd rswk-swf Quantenphysik (DE-588)4266670-3 s Phasenraum (DE-588)4139912-2 s DE-604 Fairlie, David 1935- Verfasser (DE-588)1073272419 aut Zachos, Cosmas 1951- Verfasser (DE-588)1122145829 aut Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027408214&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027408214&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Curtright, Thomas L. 1948- Fairlie, David 1935- Zachos, Cosmas 1951- A concise treatise on quantum mechanics in phase space Phasenraum (DE-588)4139912-2 gnd Quantenphysik (DE-588)4266670-3 gnd |
| subject_GND | (DE-588)4139912-2 (DE-588)4266670-3 |
| title | A concise treatise on quantum mechanics in phase space |
| title_auth | A concise treatise on quantum mechanics in phase space |
| title_exact_search | A concise treatise on quantum mechanics in phase space |
| title_full | A concise treatise on quantum mechanics in phase space Thomas L. Curtright (University of Miami, USA), David B. Fairlie (University of Durham, UK), Cosmas K. Zachos (Argonne National Laboratory, USA) |
| title_fullStr | A concise treatise on quantum mechanics in phase space Thomas L. Curtright (University of Miami, USA), David B. Fairlie (University of Durham, UK), Cosmas K. Zachos (Argonne National Laboratory, USA) |
| title_full_unstemmed | A concise treatise on quantum mechanics in phase space Thomas L. Curtright (University of Miami, USA), David B. Fairlie (University of Durham, UK), Cosmas K. Zachos (Argonne National Laboratory, USA) |
| title_short | A concise treatise on quantum mechanics in phase space |
| title_sort | a concise treatise on quantum mechanics in phase space |
| topic | Phasenraum (DE-588)4139912-2 gnd Quantenphysik (DE-588)4266670-3 gnd |
| topic_facet | Phasenraum Quantenphysik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027408214&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027408214&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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