TY - BOOK AU - Fayer, Michael D. AU - Fayer, Michael D. TI - Elements of Quantum Mechanics SN - 9780195141955 U1 - 530.12 FAY PY - 2001/// CY - New York PB - Oxford University Press, KW - Physics KW - Quantum theory KW - Electron Spin KW - Matrix Representation KW - Perturbation Theory N1 - Absolute size and the superposition principle -- Kets, bras, operators, and the eigenvalue problem -- Kets and bras -- Linear operators -- Eigenvalues and eigenvectors -- Momentum of a free particle and wave packets -- Momentum states of a free particle -- Normalization of the momentum eigenfunctions -- Wave packets -- Wave packet motion and group velocities -- Commutators, Dirac's quantum condition, and the uncertainty principle -- Dirac's quantum condition -- Commutators and simultaneous eigenfunctions -- Expectation values and averages -- The uncertainty principle -- The Schrödinger equation, time-dependent and time-independent -- The Schrödinger equation -- The equation of motion of the expectation value -- The free-particle energy eigenvalue problem -- The particle in a box energy eigenvalue problem -- Particle in a finite box, tunneling and ionization -- The harmonic oscillator in the Schrödinger and Dirac representations -- The quantum harmonic oscillator in the Schrödinger representation -- The quantum harmonic oscillator in the Dirac represenation -- Time-dependent harmonic oscillator wave packet -- The hydrogen atom -- Separation of the Schrödinger equation -- Solutions of the three one-dimensional equations -- The hydrogen atom wavefunctions -- Time-dependent two-state problem -- Electronic excitation transfer -- Projection operators -- Stationary states -- The nondegenerate case and the role of thermal fluctuations -- An infinite system--excitons -- Perturbation theory -- Perturbation theory for nondegenerate states -- Examples--perturbed harmonic oscillator and the Stark effect for the rigid plane rotor -- Perturbation theory for degenerate states -- The helium atom: perturbation treatment and the variation principle -- Perturbation theory treatment of the helium atom ground state -- The variational theorem -- Variation treatment of the helium atom ground state -- Time-dependent perturbation theory -- Development of time-dependent perturbation -- Vibrational excitation by a grazing ion-molecule collision -- Absorption and emission of radidependent perturbation theory -- Spontaneous emission -- Selection rules -- Limitations of the time-dependent perturbation theory treatment -- The matrix representation -- Matrices and operators -- Change of basis set -- Hermitian operators and matrices -- The harmonic osciallator in the matrix representation -- Solving the eigenvalue problem by matrix diagonalization -- The density matrix and coherent coupling of molecules to light -- The density operator and the density matrix -- The time dependence of the density matrix -- The time-dependent two-state problem -- Expectation value of an operator -- Coherent coupling of a two-state system by an optical field -- Free precession -- Pure and mixed density matrices -- The free induction decay -- Angular momentum -- Angular momentum operators -- The eigenvalues of J2 and Jz -- Angular momentum matrices -- Orbital angular momentum and the Zeeman effect -- Addition of angular momentum -- Electron spin -- The electron spin hypothesis -- Spin-orbit coupling -- Antisymmetrization and the Pauli principle -- Singlest and triplet states -- The covalent bond -- Separation of electronic and nuclear motion: the Born-Oppenheimer approximation -- The hydrogen molecule ion -- The hydrogen molecule -- Problems -- Physical constants and conversion factors for energy units N2 - Designed for courses taught in Chemistry, Physics, Chemical Engineering, and Materials Science, this course is commonly taken by advanced undergraduate and first year graduate students. It includes exercises aimed to encourage thought and provide a solid grounding in the fundamentals of many aspects of quantum mechanics ER -