Inhoudsopgave:
\u003cb\u003eA Course in Quantum Mechanics\u003c/b\u003e \u003cp\u003e\u003cb\u003eUnique graduate-level textbook on quantum mechanics by John David Jackson, author of the renowned \u003ci\u003eClassical Electrodynamics\u003c/i\u003e\u003c/b\u003e \u003cp\u003e\u003ci\u003eA Course in Quantum Mechanics\u003c/i\u003e is drawn directly from J. D. Jackson\u0026#8217;s detailed lecture notes and problem sets. It is edited by his colleague and former student Robert N. Cahn, who has taken care to preserve Jackson\u0026#8217;s unique style. The textbook is notable for its original problems focused on real applications, with many addressing published data in accompanying tables and figures. Solutions are provided for problems that are critical for understanding the material and that lead to the most important physical consequences. \u003cp\u003eOverall, the text is comprehensive and comprehensible; derivations and calculations come with clearly explained steps. More than 120 figures illustrate underlying principles, experimental apparatus, and data. \u003cp\u003eIn \u003ci\u003eA Course in Quantum Mechanics\u003c/i\u003e readers will find detailed treatments of: \u003cul\u003e\u003cli\u003eWave mechanics of de Broglie and Schrödinger, the Klein-Gordon equation and its non-relativistic approximation, free particle probability current, expectation values.\u003c/li\u003e \u003cli\u003eSchrödinger equation in momentum space, spread in time of a free-particle wave packet, density matrix, Sturm-Liouville eigenvalue problem.\u003c/li\u003e \u003cli\u003eWKB formula for bound states, example of WKB with a power law potential, normalization of WKB bound state wave functions, barrier penetration with WKB.\u003c/li\u003e \u003cli\u003eRotations and angular momentum, representations, Wigner d-functions, addition of angular momenta, the Wigner-Eckart theorem.\u003c/li\u003e \u003cli\u003eTime-independent perturbation theory, Stark, Zeeman, Paschen-Back effects, time-dependent perturbation theory, Fermi\u0026#8217;s Golden Rule.\u003c/li\u003e \u003cli\u003eAtomic structure, helium, multiplet structure, Russell-Saunders coupling, spin-orbit interaction, Thomas-Fermi model, Hartree-Fock approximation.\u003c/li\u003e \u003cli\u003eScattering amplitude, Born approximation, allowing internal structure, inelastic scattering, optical theorem, validity criterion for the Born approximation, partial wave analysis, eikonal approximation, resonance.\u003c/li\u003e \u003cli\u003eSemi-classical and quantum electromagnetism, Aharonov-Bohm effect, Lagrangian and Hamiltonian formulations, gauge invariance, quantization of the electromagnetic field, coherent states.\u003c/li\u003e \u003cli\u003eEmission and absorption of radiation, dipole transitions, selection rules, Weisskopf-Wigner treatment of line breadth and level shift, Lamb shift.\u003c/li\u003e \u003cli\u003eRelativistic quantum mechanics, Klein-Gordon equation, Dirac equation, two-component reduction, hole theory, Foldy-Wouthuysen transformation, Lorentz covariance, discrete symmetries, non-relativistic and relativistic Compton scattering.\u003c/li\u003e\u003c/ul\u003e |