Verfügbarkeit: Maslov classes, metaplectic representation and Lagrangian quantization

Maslov classes, metaplectic representation and Lagrangian quantization:

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Bibliographische Detailangaben
Beteilige Person:	Gosson, Maurice A. de 1948- (VerfasserIn)
Format:	Buch
Sprache:	Deutsch
Veröffentlicht:	Berlin Akad.-Verl. 1997
Ausgabe:	1. ed.
Schriftenreihe:	Mathematical research 95
Schlagwörter:	Differential equations, Partial > Asymptotic theory Geometric quantization Lagrangian functions Maslov index Geometrische Quantisierung Metaplektische Darstellung Maslov-Index
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007498833&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Literaturverz. S. 180 - 184
Umfang:	186 S.
ISBN:	3055017145

Internformat

MARC


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Datensatz im Suchindex

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adam_text	Contents Introduction 9 Notations 14 Chapter 1. Introduction to symplectic geometry 1.1 The standard symplectic space (Z,(o) 15 1.2 The symplectic group Sp 18 1.3 The Lagrangian Grassmannian Lag of (Z,co) 24 1.4 Symplectic manifolds 28 1.5 Darboux theorem and its variants 34 1.6 State and phase space 35 1.7 Hamiltonian Mechanics in (Z,(d) 38 1.8 Hamiltonian Mechanics on symplectic manifolds 42 Comments and references 45 Chapter 2. Maslov classes 2.1 The signature of a triple of Lagrangian planes 47 2.2 The cocycle property of the signature 53 2.3 The fundamental groups of Sp and Lag 54 2.4 The index jx on Lagoo 58 2.5 Maslov Classes on Lag and Sp 64 2.6 Maslov Classes and q symplectic geometry 70 2.7 Oriented and q oriented Lagrangian manifolds 76 Comments and references 79 Chapter 3. The metaplectic representation of Sp2 3.1 The Fourier transform 81 3.2 Quadratic Fourier transforms 83 3.3 The metaplectic group Mp 90 8 Contents 3.4 Definition of the Maslov index on Mp 101 3.5 The relation between m and the Maslov index on Sp2 108 3.6 Reconstruction of the ALM index modulo 4 114 Comments and references 117 Chapter 4. Lagrangian quantization 4.1 The intrinsic Hilbert space 119 4.2 Metaplectic half forms 124 4.3 The catalogue bundle 128 4.4 Lagrangian quantization 134 Comments and references 145 Chapter 5. Quantum Mechanics 5.1 A non example of physical quantization 147 5.2 Classical interpretation of the wave function 156 5.3 The action of Hamiltonian flows onMHFs 163 5.4 Quasi classical approximation 167 5.5 Metaplectic covariance 169 Comments and references 178 Bibliography 180 Subject index 185
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id	DE-604.BV011182010
illustrated	Not Illustrated
indexdate	2024-12-20T10:07:45Z
institution	BVB
isbn	3055017145
language	German
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-007498833
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series	Mathematical research
series2	Mathematical research
spellingShingle	Gosson, Maurice A. de 1948- Maslov classes, metaplectic representation and Lagrangian quantization Mathematical research Differential equations, Partial Asymptotic theory Geometric quantization Lagrangian functions Maslov index Geometrische Quantisierung (DE-588)4156720-1 gnd Metaplektische Darstellung (DE-588)4204500-9 gnd Maslov-Index (DE-588)4169023-0 gnd
subject_GND	(DE-588)4156720-1 (DE-588)4204500-9 (DE-588)4169023-0
title	Maslov classes, metaplectic representation and Lagrangian quantization
title_auth	Maslov classes, metaplectic representation and Lagrangian quantization
title_exact_search	Maslov classes, metaplectic representation and Lagrangian quantization
title_full	Maslov classes, metaplectic representation and Lagrangian quantization Maurice de Gosson
title_fullStr	Maslov classes, metaplectic representation and Lagrangian quantization Maurice de Gosson
title_full_unstemmed	Maslov classes, metaplectic representation and Lagrangian quantization Maurice de Gosson
title_short	Maslov classes, metaplectic representation and Lagrangian quantization
title_sort	maslov classes metaplectic representation and lagrangian quantization
topic	Differential equations, Partial Asymptotic theory Geometric quantization Lagrangian functions Maslov index Geometrische Quantisierung (DE-588)4156720-1 gnd Metaplektische Darstellung (DE-588)4204500-9 gnd Maslov-Index (DE-588)4169023-0 gnd
topic_facet	Differential equations, Partial Asymptotic theory Geometric quantization Lagrangian functions Maslov index Geometrische Quantisierung Metaplektische Darstellung Maslov-Index
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007498833&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000008585
work_keys_str_mv	AT gossonmauriceade maslovclassesmetaplecticrepresentationandlagrangianquantization

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