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Record Nr. |
UNINA9910451296503321 |
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Autore |
Giachetta G |
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Titolo |
Geometric and algebraic topological methods in quantum mechanics [[electronic resource] /] / Giovanni Giachetta & Luigi Mangiarotti, Gennadi Sardanashvily |
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Pubbl/distr/stampa |
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Singapore ; ; Hackensack, N.J., : World Scientific, c2005 |
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ISBN |
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1-281-89700-0 |
9786611897000 |
981-270-126-5 |
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Descrizione fisica |
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1 online resource (715 p.) |
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Altri autori (Persone) |
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MangiarottiL |
SardanashviliG. A (Gennadiì† Aleksandrovich) |
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Disciplina |
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Soggetti |
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Quantum theory |
Geometric quantization |
Topology |
Mathematical physics |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 661-681) and index. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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 |
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