The theory of symmetry actions in quantum mechanics
Subtitle: with an application to the Galilei group
By: G. Cassinelli ... [et al.].
Contributors: Cassinelli, Gianni.
Series: Lecture notes in physics,; v. 654
Publisher: Springer
Published: 2004
Place of publication: Berlin; New York
Language: eng
Number of pages: 110
Subjects: Symmetry (Physics); Quantum theory
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.
Notes: Includes bibliographical references (p. [103]-104) and index.