ABSTRACT

Symmetries in Quantum Mechanics: From Angular Momentum to Supersymmetry (PBK) provides a thorough, didactic exposition of the role of symmetry, particularly rotational symmetry, in quantum mechanics. The bulk of the book covers the description of rotations (geometrically and group-theoretically) and their representations, and the quantum theory of angular momentum. Later chapters introduce more advanced topics such as relativistic theory, supersymmetry, anyons, fractional spin, and statistics. With clear, in-depth explanations, the book is ideal for use as a course text for postgraduate and advanced undergraduate students in physics and those specializing in theoretical physics. It is also useful for researchers looking for an accessible introduction to this important area of quantum theory.

chapter 1|15 pages

Introduction

chapter 2|37 pages

Symmetry in Quantum Mechanics

chapter 3|19 pages

Rotations in Three-Dimensional Space

chapter 4|49 pages

Angular Momentum Operators and Eigenstates

chapter 5|49 pages

Addition of Angular Momenta

chapter 6|26 pages

Representations of The Rotation Group

chapter 8|20 pages

Irreducible Tensors and Tensor Operators

chapter 10|36 pages

A Brief Glance at Relativistic Problems