4 options
Geometric and algebraic topological methods in quantum mechanics / Giovanni Giachetta & Luigi Mangiarotti, Gennadi Sardanashvily.
- Format:
- Book
- Author/Creator:
- Giachetta, G.
- Language:
- English
- Subjects (All):
- Quantum theory.
- Geometric quantization.
- Topology.
- Mathematical physics.
- Physical Description:
- 1 online resource (715 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Singapore ; Hackensack, N.J. : World Scientific, c2005.
- Language Note:
- English
- Summary:
- In the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry's geometric factor, super- and BRST symmetries, non-commutativity, has called into play the geometric techniques based on the deep interplay between algebra, differential geometry and topology. The book aims at being a guide to advanced differential geometric and topological methods in quantum mechanics. Their main peculiarity lies in the fact that geometry in quantum theory speaks mainly the algebraic language of rings, modules, sheaves and categories. Ge
- Contents:
- Preface; Contents; Introduction; Chapter 1 Commutative geometry; Chapter 2 Classical Hamiltonian system; Chapter 3 Algebraic quantization; Chapter 4 Geometry of algebraic quantization; Chapter 5 Geometric quantization; Chapter 6 Supergeometry; Chapter 7 Deformation quantization; Chapter 8 Non-commutative geometry; Chapter 9 Geometry of quantum groups; Chapter 10 Appendixes; Bibliography; Index
- Notes:
- Description based upon print version of record.
- Includes bibliographical references (p. 661-681) and index.
- ISBN:
- 9786611897000
- 9781281897008
- 1281897000
- 9789812701268
- 9812701265
- OCLC:
- 476063557
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.