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 Schr? 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 Schr? dinger Equation. Index.