Lecture Notes in Physics: with an Application to the Galilei Group

Cassinelli, Gianni; Vito, Ernesto; Levrero, Alberto; Lahti, Pekka J.

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.

Details

Published by: Springer

Publication Date: 2004-10-27

Format: Hardcover

ISBN-13: 9783540228028

DOI: 10.1007/b99455

Dimensions: 235cm x155cm

Pages: 111