1st Edition

Symmetries in Quantum Mechanics From Angular Momentum to Supersymmetry (PBK)

By M Chaichian, R Hagedorn Copyright 1997
    318 Pages 46 B/W Illustrations
    by CRC Press

    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.

    Introduction
    Symmetry in quantum mechanics
    Rotations in three-dimensional space
    Angular momentum operators and eigenstates
    Addition of angular momenta
    Representations of the rotation group
    The Jordan-Schwinger construction and representations
    Irreducible tensors and tensor operators
    Peculiarities of two-dimensional rotations: anyons, fractional spin and statistics
    A brief glance at relativistic problems
    Supersymmetry in quantum mechanics and particle physics
    Appendices
    Index

    Biography

    M. Chaichian, R. Hagedorn

    "… a useful complement to the existing literature."
    -Mathematical Reviews