Quantum Mechanics [Paperback]

Intended for beginning graduate students, this text takes the reader from the familiar coordinate representation of quantum mechanics to the modern algebraic approach, emphasizing symmetry principles throughout. After an introduction to the basic postulates and techniques, the book discusses time-independent perturbation theory, angular momentum, identical particles, scatteering theory, and time-dependent perturbation theory. The whole is rounded off with several lectures on relativistic quantum mechanics and on many-body theory.Intended for beginning graduate students, this text takes the reader from the familiar coordinate representation of quantum mechanics to the modern algebraic approach, emphsizing symmetry principles throughout. After an introduction of the basic postulates and techniques, the book discusses time-independent perturbation theory, angular momentum, identical particles, scattering theory, and time-dependent perturbation theory. It concludes with several lectures on relativistic quantum mechanics and on many-body theoryI Introduction to Quantum Mechanics.- 1 Background: The Duality of Nature.- 2 The Motion of Wave Packets: Fourier Analysis.- 3 The Schr?dinger Wave Equation and Probability Interpretation.- 4 Schr?dinger Theory: The Existence of Discrete Energy Levels.- 5 Harmonic Oscillator Calculations.- 6 Further Interpretation of the Wave Function.- 7 The Eigenvalue Problem.- 8 Spherical Harmonics, Orbital Angular Momentum.- 9 ?-Step operators for the ? Equation.- 10 The Radial Functions for the Hydrogenic Atom.- 11 Shape-Invariant Potentials: Soluble One-Dimensional Potential Problems.- 12 The Darboux Method: Supersymmetric Partner Potentials.- 13 The Vector Space Interpretation of Quantum-Mechanical Systems.- 14 The Angular Momentum Eigenvalue Problem (Revisited).- 15 Rigid Rotators: Molecular Rotational Spectra.- 16 Transformation Theory.- 17 Another Example: Successive Polarization Filters for Beams of Spin s = 1/2 Particles.- 18 TransformalC†