The Theory of Symmetry Actions in Quantum Mechanics

with an Application to the Galilei Group
2004
ISBN: 978-3-540-22802-8
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 654, 111 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 360 g

Reihe: Lecture Notes in Physics

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.

Zielgruppe

Research

Autoren/Hrsg.

Cassinelli, Gianni

Lahti, Pekka J.

Vito, Ernesto

Levrero, Alberto

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Naturwissenschaften Physik Quantenphysik Atom- und Molekülphysik

Inhaltsverzeichnis

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.