Quantum Theories and Geometry:
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1988
|
| Schriftenreihe: | Mathematical Physics Studies, A Supplementary Series to Letters in Mathematical Physics
10 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book presents the text of most of the lectures which were delivered at the Meeting Quantum Theories and Geometry which was held at the Fondation Les Treilles from March 23 to March 27, 1987. The general aim of this meeting was to bring together mathematicians and physicists who have worked in this growing field of contact between the two disciplines, namely this region where geometry and physics interact creatively in both directions. It is the strong belief of the organizers that these written contributions will be a useful document for research people working in geometry or physics. Three lectures were devoted to the deformation approach to quantum mechanics which involves a modification of both the associative and the Lie structure of the algebra of functions on classical phase space. A.Lichnerowicz shows how one can view classical and quantum statistical mechanics in terms of a deformation with a parameter inversely proportional to temperature. S.Gutt reviews the physical background of star products and indicates their applications in Lie groups representation theory and in harmonic analysis. D.Arnal gives a rigorous theory VII viii PREFACE of the star exponential in the case of the Heisenberg group and shows how this can be extended to arbitrary nilpotent groups |
| Beschreibung: | 1 Online-Ressource (IX, 191 p) |
| ISBN: | 9789400930551 9789401078740 |
| DOI: | 10.1007/978-94-009-3055-1 |
Internformat
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| 490 | 1 | |a Mathematical Physics Studies, A Supplementary Series to Letters in Mathematical Physics |v 10 | |
| 500 | |a This book presents the text of most of the lectures which were delivered at the Meeting Quantum Theories and Geometry which was held at the Fondation Les Treilles from March 23 to March 27, 1987. The general aim of this meeting was to bring together mathematicians and physicists who have worked in this growing field of contact between the two disciplines, namely this region where geometry and physics interact creatively in both directions. It is the strong belief of the organizers that these written contributions will be a useful document for research people working in geometry or physics. Three lectures were devoted to the deformation approach to quantum mechanics which involves a modification of both the associative and the Lie structure of the algebra of functions on classical phase space. A.Lichnerowicz shows how one can view classical and quantum statistical mechanics in terms of a deformation with a parameter inversely proportional to temperature. S.Gutt reviews the physical background of star products and indicates their applications in Lie groups representation theory and in harmonic analysis. D.Arnal gives a rigorous theory VII viii PREFACE of the star exponential in the case of the Heisenberg group and shows how this can be extended to arbitrary nilpotent groups | ||
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| 650 | 4 | |a Theoretical, Mathematical and Computational Physics | |
| 650 | 4 | |a Group Theory and Generalizations | |
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Datensatz im Suchindex
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| dewey-full | 530.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Physik |
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| id | DE-604.BV042415084 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:56Z |
| institution | BVB |
| isbn | 9789400930551 9789401078740 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027850577 |
| oclc_num | 863775990 |
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| owner | DE-91 DE-BY-TUM DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-83 |
| physical | 1 Online-Ressource (IX, 191 p) |
| psigel | ZDB-2-PHA ZDB-2-BAE ZDB-2-PHA_Archive |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Springer Netherlands |
| record_format | marc |
| series | Mathematical Physics Studies, A Supplementary Series to Letters in Mathematical Physics |
| series2 | Mathematical Physics Studies, A Supplementary Series to Letters in Mathematical Physics |
| spelling | Quantum Theories and Geometry edited by M. Cahen, M. Flato Dordrecht Springer Netherlands 1988 1 Online-Ressource (IX, 191 p) txt rdacontent c rdamedia cr rdacarrier Mathematical Physics Studies, A Supplementary Series to Letters in Mathematical Physics 10 This book presents the text of most of the lectures which were delivered at the Meeting Quantum Theories and Geometry which was held at the Fondation Les Treilles from March 23 to March 27, 1987. The general aim of this meeting was to bring together mathematicians and physicists who have worked in this growing field of contact between the two disciplines, namely this region where geometry and physics interact creatively in both directions. It is the strong belief of the organizers that these written contributions will be a useful document for research people working in geometry or physics. Three lectures were devoted to the deformation approach to quantum mechanics which involves a modification of both the associative and the Lie structure of the algebra of functions on classical phase space. A.Lichnerowicz shows how one can view classical and quantum statistical mechanics in terms of a deformation with a parameter inversely proportional to temperature. S.Gutt reviews the physical background of star products and indicates their applications in Lie groups representation theory and in harmonic analysis. D.Arnal gives a rigorous theory VII viii PREFACE of the star exponential in the case of the Heisenberg group and shows how this can be extended to arbitrary nilpotent groups Physics Group theory Geometry Theoretical, Mathematical and Computational Physics Group Theory and Generalizations Cahen, M. edt Flato, M. edt Mathematical Physics Studies, A Supplementary Series to Letters in Mathematical Physics 10 (DE-604)BV000006511 10 https://doi.org/10.1007/978-94-009-3055-1 Verlag Volltext |
| spellingShingle | Quantum Theories and Geometry Mathematical Physics Studies, A Supplementary Series to Letters in Mathematical Physics Physics Group theory Geometry Theoretical, Mathematical and Computational Physics Group Theory and Generalizations |
| title | Quantum Theories and Geometry |
| title_auth | Quantum Theories and Geometry |
| title_exact_search | Quantum Theories and Geometry |
| title_full | Quantum Theories and Geometry edited by M. Cahen, M. Flato |
| title_fullStr | Quantum Theories and Geometry edited by M. Cahen, M. Flato |
| title_full_unstemmed | Quantum Theories and Geometry edited by M. Cahen, M. Flato |
| title_short | Quantum Theories and Geometry |
| title_sort | quantum theories and geometry |
| topic | Physics Group theory Geometry Theoretical, Mathematical and Computational Physics Group Theory and Generalizations |
| topic_facet | Physics Group theory Geometry Theoretical, Mathematical and Computational Physics Group Theory and Generalizations |
| url | https://doi.org/10.1007/978-94-009-3055-1 |
| volume_link | (DE-604)BV000006511 |
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