Quantum Mechanics

NOUREDINE ZETTILI received his Ph.D. in 1986 from MIT and is currently Professor of Physics at Jacksonville State University, USA. His research interests include nuclear theory, the many-body problem, quantum mechanics and mathematical physics. He has also published two booklets designed to help students improve their study skills. Proteins: Biochemistry and Biotechnology is a definitive source of information for all those interested in this area, providing a broad overview of the various medical, diagnostic and industrial uses of proteins.

Preface; Origins of Quantum Physics; Historical Note; Particle Aspect of Radiation; Wave Aspect of Particles; Particles versus Waves; Indeterminacy of the Microphysical World; Atomic Transitions and Spectroscopy; Wave Packets; Concluding Remarks; Solved problems; Exercises; Mathematical Tools of Quantum Mechanics; Introduction; The Hilbert Space and Wave Functions; Dirac Notations; Operators; Representation in Discrete Bases; Representation in Continuous Bases; Matrix and Wave Mechanics; Concluding Remarks; Solved Problems; Exercises; Postulates of Quantum Mechanics; Introduction; The Basic Postulates of Quantum Mechanics; The State of a System; Observables and Operators; Measurement in Quantum Mechanics; Time Evolution of the System's State; Symmetries and Conservation Laws; Connecting Quantum to Classical Mechanics; Solved Problems; Exercises; One-Dimensional Problems; Introduction; Properties of One-Dimensional Motion; The Free Particle: Continuous States; The Potential Step; The Potential Barrier and Well; The Infinite Square Well Potential; the Finite Square Well Potential; The Harmonic Oscillator; Numerical Solution of the Schrv dinger Equation; Solved Problems; Problems; Angular Momentum; Introduction; Orbital Angular Momentum; General Formalism of Angular Momentum; Matrix Representation of Angular Momentum; Geometrical Representation of Angular; Momentum; Spin Angular Momentum; Eigenfunctions of Orbital Angular Momentum; Solved Problems; Exercises; Three-Dimensional Problems; Introduction; 3D Problems in Cartesian Coordinates; 3D Problems in Spherical Coordinates; Concluding Remarks; Solved Problems; Exercises; Rotations and Addition of Angular Momenta; Rotations in Classical Physics; Rotations in Quantum Mechanics; Addition of Angular Momenta; Scalar, Vector and Tensor Operators; Solved Problems; Exercises; Identical Particles; Many-Particle Systems; Systems of Identical Particles; The Pauli Exclusion Principle; Solved Problems; Problems; Approximation Methods for Stationary States; Introduction; Time-Independent Perturbation Theory; The Variational Method; The Wentzel Kramers Brillouin Method; Concluding Remarks; Solved Problems; Problems; Time-Dependent Perturbation Theory; Introduction; The Pictures of Quantum Mechanics; Time-Dependent Perturbation Theory; Adiabatic and Sudden Approximations; Interaction of Atoms with Radiation; Solved Problems; Exercises; Scattering Theory; Scattering and Cross Section; The Scattering Amplitude of Spinless Particles; The Born Approximation; Partial Wave Analysis; Scattering of Indentical Particles; Solved Problems; Exercises; The Delta Function; One-Dimensional Delta Function; Three-Dimensional Delta Function; Angular Momentum in Spherical Coordinates; Computer Code for Solving the Schrv dinger; Equation; Index.