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The Theory of Symmetry Actions in Quantum Mechanics

with an Application to the Galilei Group

Specificaties
Gebonden, 111 blz. | Engels
Springer Berlin Heidelberg | 2004e druk, 2004
ISBN13: 9783540228028
Rubricering
Springer Berlin Heidelberg 2004e druk, 2004 9783540228028
Onderdeel van serie Lecture Notes in Physics
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Samenvatting

This is a book about representing symmetry in quantum mechanics. The book is on a graduate and/or researcher level and it is written with an attempt to be concise, to respect conceptual clarity and mathematical rigor. The basic structures of quantum mechanics are used to identify the automorphism group of quantum mechanics. The main concept of a symmetry action is defined as a group homomorphism from a given group, the group of symmetries, to the automorphism group of quantum mechanics. The structure of symmetry actions is determined under the assumption that the symmetry group is a Lie group. The Galilei invariance is used to illustrate the general theory by giving a systematic presentation of a Galilei invariant elementary particle. A brief description of the Galilei invariant wave equations is also given.

Specificaties

ISBN13:9783540228028
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:111
Uitgever:Springer Berlin Heidelberg
Druk:2004

Inhoudsopgave

A Synopsis of Quantum Mechanics.- The Automorphism Group of Quantum Mechanics.- The Symmetry Actions and Their Representations.- The Galilei Groups.- Galilei Invariant Elementary Particles.- Galilei Invariant Wave Equations.
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        The Theory of Symmetry Actions in Quantum Mechanics