Contents Foreword Preface In Memoriam 1 FUNDAMENTAL CONCEPIS 1 1.3 Base Kets and Matrix Representations 1.4 Measurements,Observables,and the Uncertainty Relations 10723 15 Change of Basis 36 Positio n,Momentu and Translation 41 Wave Functions in Position and Momentum Space 1 Problems 60 2 QUANTUM DYNAMICS 6 2.1 Time Evolution and the Schrodinger Equation 68 2.2 The Schrodinger Versus the Heisenberg Picture 2.3 Simple Iarmonic Oscillator 2.4 Schrodinger's Wave Equation 97 2.5 Propagators and Feynman Path Integrals 2.6 Potentials and Gauge Transformations 193 Problems 143 3 THEORY OF ANGULAR MOMENTUM 3.1 Rotations and Angular Momentum Commutation Relations 3.2 Spin 1/2 Systems and Finite Rotations 12555 3.3 SO(3),SU(2),and Euler Rotations 168 3.4 Density Operators and Pure Versus Mixed Ensembles 174 Eigenvalues and Eigenstates of Angular Momentum 3.6 Orbital Angular Momentum 3.7 Addition of Angular Momenta 203 3.8 Schwinger's Oscillator Model of Angular Momentum 217 30 Spin Co relation Measurements and Bell's Inequality ))? 3.10 Tensor Operators 232 Problems 242 4 SYMMETRY IN QUANTUM MECHANICS 4.1 Symmetries,Conservation Laws,and Degeneracies 4.2 Discrete Symmetries,Parity,or Space Inversion 251 4.3 Lattice Translation as a Discrete Symmetry 261 44 The Time-Reversal Discrete Symmetry 266 Problems 282 4