ISBN : 9781119880387
Author : John David Jackson
Publisher : Wiley
Year : 2023
Language : English
Type : Book
Description : TABLE OF CONTENTS 1 Basics 1.1 Wave Mechanics of De Broglie and Schrödinger 1.2 Klein-Gordon Equation 1.3 Non-Relativistic Approximation 1.4 Free Particle Probability Current 1.5 Expectation Values 1.6 Particle in a Static, Conservative Force Field 1.7 Ehrenfest’s Theorem 1.8 Schrödinger Equation in Momentum Space 1.9 Spread in Time of a Free-Particle Wave Packet 1.10 Interpretation and Application 1.11 Sturm-Liouville Eigenvalue Problem 1.12 Linear Operators on Functions 1.13 Eigenvalue Problem for a Hermitian Operator 1.14 Time-Independent Schrödinger Equation 2 General Principles of Quantum Mechanics 3 Problems in One Dimension 4 Wentzel-Kramers-Brillouin (WKB) Approximation 4.1 Solution in One Dimension 4.2 Schrödinger Equation for the Linear Potential 4.3 Connection Formulae for WKB 4.4 WKB Formula for Bound States 4.5 Example of WKB with a Power Law Potential 4.6 Normalization of WKB Bound State Wave Functions 4.7 Barrier Penetration With WKB 5 Problems in Three Dimensions 6 Rotations and Angular Momentum 7 Perturbation Methods and Applications 8 Time-Dependent Perturbation Theory 9 Atomic Structure 10 Scattering 10.1 Scattering Amplitude 10.2 Born Approximation 10.3 Allowing Internal Structure 10.4 Inelastic Scattering 10.5 Optical Theorem 10.6 Validity Criterion for the First Born Approximation 10.7 Method of Partial Waves 10.8 Behavior of the Cross Section and the Argand Diagram 10.9 Hard Sphere Scattering 10.10 Strongly Attractive Potentials and Resonance 11 Semi-Classical and Quantum Electromagnetic Field 11.1 Aharanov-Bohm Effect 11.2 Semi-Classical Radiation Theory 11.3 Scalar Field Quantization 11.4 Quantization of the Radiation Field 11.5 States of the Electromagnetic Field 11.6 Vacuum Expectation Values of E, E Times E Over Finite Volume 11.7 Classical vs Quantum Radiation 11.8 Quasi-Classical Fields and Coherent States 12 Emission and Absorption of Radiation 12.1 Matrix Elements and Rates 12.2 Dipole Transitions 12.3 Charged Particle in Central Field 12.4 Including Spin 12.5 Line Breadth and Level Shift 13 Relativistic Electron Theory A Mathematical Tools A.1 Integration by Parts with the Divergence Theorem A.2 Contour Integration A.3 Green Function for Helmholtz Equation B Problems C Selected Solutions