Mathematical Topics Between Classical and Quantum Mechanics
Subject Matter The original title of this book was Tractatus Classico-Quantummechanicus, but it was pointed out to the author that this was rather grandiloquent. In any case, the book discusses certain topics in the interface between classical and quantum mechanics. Mathematically, one looks for sim...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
1998, 1998
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| Edition: | 1st ed. 1998 |
| Series: | Springer Monographs in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Introductory Overview
- I. Observables and Pure States
- II. Quantization and the Classical Limit
- III. Groups, Bundles, and Groupoids
- IV. Reduction and Induction
- I Observables and Pure States
- 1 The Structure of Algebras of Observables
- 2 The Structure of Pure State Spaces
- 3 From Pure States to Observables
- II Quantization and the Classical Limit
- 1 Foundations
- 2 Quantization on Flat Space
- 3 Quantization on Riemannian Manifolds
- III Groups, Bundles, and Groupoids
- 1 Lie Groups and Lie Algebras
- 2 Internal Symmetries and External Gauge Fields
- 3 Lie Groupoids and Lie Algebroids
- IV Reduction and Induction
- 1 Reduction
- 2 Induction
- 3 Applications in Relativistic Quantum Theory
- Notes
- I
- II
- III
- IV
- References