Quantum Mechanics

QUANTUM MECHANICS, designed for advanced undergraduate and graduate students of physics, mathematics and chemistry, provides a concise yet self-contained introduction to the formal framework of quantum mechanics, its application to physical problems and the interpretation of the theory. Starting with a review of some of the necessary mathematics, the basic concepts are carefully developed in the text. After building a general formalism, detailed treatment of the standard material – the harmonic oscillator, the hydrogen atom, angular momentum theory, symmetry transformations, approximation methods, identical particle and many-particle systems, and scattering theory – is presented. The concluding chapter discusses the interpretation of quantum mechanics. Some of the important topics discussed in the book are the rigged Hilbert space, deformation quantization, path integrals, coherent states, geometric phases, decoherene, etc. This book is characterized by clarity and coherence of presentation.

Mathematical Preliminaries / The Basic Concepts / The Schrödinger Equation and its Solution / Angular Momentum / Rotations / Spin / The Addition of Angular Momenta / Tensor Operators / Symmetry Transformations / Discrete Symmetries / Applications / Stationary State Perturbation Theory / Nonperturbative Methods / Methods for Time-Dependent Problems / Interaction of Radiation with Matter / Identical Particles / Many-Particle Systems / The Description of Scattering Processes / Formal Scattering Theory / Potential Scattering: Methods of Solution / Scattering of Identical Particles and Polarized Particles / Interpretation / Bibliography / Index.