The Theory of Symmetry Actions in Quantum Mechanics
with an Application to the Galilei Group
Series: Lecture Notes in Physics; 654;
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Product details:
- Edition number 2004
- Publisher Springer Berlin Heidelberg
- Date of Publication 27 October 2004
- Number of Volumes 1 pieces, Book
- ISBN 9783540228028
- Binding Hardback
- No. of pages111 pages
- Size 235x155 mm
- Weight 362 g
- Language English
- Illustrations XII, 111 p. 0
Categories
Long description:
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.
MoreTable of Contents:
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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