John David Jackson: A Course in Quantum Mechanics

ISBN-13: 9781119880387 / Angielski / Twarda / 2023 / 500 str.

Berkeley) Jackson John David (University of California

Spis treści

1 Basics1.1 Wave Mechanics of De Broglie and Schrödinger1.2 Klein-Gordon Equation1.3 Non-Relativistic Approximation1.4 Free Particle Probability Current1.5 Expectation Values1.6 Particle in a Static, Conservative Force Field1.7 Ehrenfest's Theorem1.8 Schrödinger Equation in Momentum Space1.9 Spread in Time of a Free-Particle Wave Packet1.10 Interpretation and Application1.11 Sturm-Liouville Eigenvalue Problem1.12 Linear Operators on Functions1.13 Eigenvalue Problem for a Hermitian Operator1.14 Time-Independent Schrödinger Equation2 General Principles of Quantum Mechanics3 Problems in One Dimension4 Wentzel-Kramers-Brillouin (WKB) Approximation4.1 Solution in One Dimension4.2 Schrödinger Equation for the Linear Potential4.3 Connection Formulae for WKB4.4 WKB Formula for Bound States4.5 Example of WKB with a Power Law Potential4.6 Normalization of WKB Bound State Wave Functions4.7 Barrier Penetration With WKB5 Problems in Three Dimensions6 Rotations and Angular Momentum7 Perturbation Methods and Applications8 Time-Dependent Perturbation Theory9 Atomic Structure10 Scattering10.1 Scattering Amplitude10.2 Born Approximation10.3 Allowing Internal Structure10.4 Inelastic Scattering10.5 Optical Theorem10.6 Validity Criterion for the First Born Approximation10.7 Method of Partial Waves10.8 Behavior of the Cross Section and the Argand Diagram10.9 Hard Sphere Scattering10.10 Strongly Attractive Potentials and Resonance11 Semi-Classical and Quantum Electromagnetic Field11.1 Aharanov-Bohm Effect11.2 Semi-Classical Radiation Theory11.3 Scalar Field Quantization11.4 Quantization of the Radiation Field11.5 States of the Electromagnetic Field11.6 Vacuum Expectation Values of E, E Times E Over Finite Volume11.7 Classical vs Quantum Radiation11.8 Quasi-Classical Fields and Coherent States12 Emission and Absorption of Radiation12.1 Matrix Elements and Rates12.2 Dipole Transitions12.3 Charged Particle in Central Field12.4 Including Spin12.5 Line Breadth and Level Shift13 Relativistic Electron TheoryA Mathematical ToolsA.1 Integration by Parts with the Divergence TheoremA.2 Contour IntegrationA.3 Green Function for Helmholtz EquationB ProblemsC Selected Solutions

O autorze

John David Jackson (1925-2016) was a revered physics professor at the University of California, Berkeley, a faculty Senior Scientist at Lawrence Berkeley National Laboratory, and a member of the National Academy of Sciences. A theoretical physicist, he is well known for numerous publications and summer-school lectures in nuclear and particle physics, as well as for his definitive text, Classical Electrodynamics.Robert N. Cahn is Senior Scientist, emeritus, at the Lawrence Berkeley National Laboratory. He has conducted research in theoretical and experimental particle physics and cosmology. The co-author, with Gerson Goldhaber, of the text Experimental Foundations of Particle Physics, he has taught physics at both the undergraduate and graduate levels.