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