Group Theory and Its Applications

Volume II

Ernest M. Loebl

• Publisher: Academic Press
• Year: 2014
• ISBN:
  9781483263786
• Topic: Mathematics
• Subtopic: Algebra
• Index: Mathematics

Group Theory and its Applications, Volume II covers the two broad areas of applications of group theory, namely, all atomic and molecular phenomena, as well as all aspects of nuclear structure and elementary particle theory. This volume contains five chapters and begins with the representation and tensor operators of the unitary groups. The next chapter describes wave equations, both Schrödinger's and Dirac's for a wide variety of potentials. These topics are followed by discussions of the applications of dynamical groups in dealing with bound-state problems of atomic and molecular physics. A chapter explores the connection between the physical constants of motion and the unitary group of the Hamiltonian, the symmetry adaptation with respect to arbitrary finite groups, and the Dixon method for computing irreducible characters without the occurrence of numerical errors. The last chapter deals with the study of the extension, representation, and applications of Galilei group. This book will prove useful to mathematicians, practicing engineers, and physicists.

Table of contents

• Front Cover
• Group Theory and its Applications
• Copyright Page
• Table of Contents
• List of Contributors
• Preface
• Contents of Volume I
• Chapter 1. The Representations and Tensor Operators of the Unitary Groups U(n)
• Chapter 2. Symmetry and Degeneracy
• Chapter 3. Dynamical Groups in Atomic and Molecular Physics
• Chapter 4. Symmetry Adaptation of Physical States by Means of Computers
• Chapter 5. Galilei Group and Galilean Invariance
• Author Index
• Subject Index