
| 作者sakurai是一位杰出的理论物理学家和粒子物理学家 “用量子力学方式来思考”是本书最引入瞩目之处 |
| 《现代量子力学(第2版)(英文版)》 foreword to the first edition ix preface to the revised edition xi preface to the second edition xiii in memoriam xvii 1 fundamental concepts 1 1.1 the stern-g-edach experiment 1 1.2 kets, bras, and operators 10 1.3 base kets and matrix representations 17 1.4 measurements, observables, and the uncertainty relations 23 1.5 change of basis 35 1.6 position, momentum, and translation 40 1.7 wave functions in position and momentum space 50 2 quantum dynamics 66 2.1 time-evolution and the schrodinger equation 66 2.2 the schrodinger versus the heisenberg picture 80 2.3 simple harmonic oscillator 89 2.4 schrodinger's wave equation 97 2.5 elementary solutions to schrodinger's wave equation 103 2.6 propagators and feymnan path integrals 116 .2.7 potentials and gauge transformations 129 3 theory of angular momentum 157 3.1 rotations and angular-momentum commutation relations 157 3.2 spin 1/2 systems and finite rotations 163 3.3 so(3), su(2), and euler rotations 172 3.4 density operators and pure versus mixed ensembles 178 3.5 eigenvalues and eigenstates of angular momentum 191 3.6 orbital angular momentum 199 3.7 schrodinger's equation for central potentials 207 3.8 addition of angular momenta 217 3.9 schwinger's oscillator model of angular momentum 232 3.10 spin correlation measurements and bell's inequality 238 3.11 tensor operators 246 4 symmetry in quantum mechanics 262 4.1 symmetries, conservation laws, and degeneracies 262 4.2 discrete symmetries, parity, or space inversion 269 4.3 lattice translation as a discrete symmetry 280 4.4 the tune-reversal discrete symmetry 284 5 approximation methods 303 5.1 time-independent perturbation theory: nondegenerate case 303 5.2 time-independent perturbation theory: the degenerate case 316 5.3 hydrogen-like atoms: fine structure and the zeeman effect 321 5.4 variational methods 332 5.5 time-dependent potentials: the interaction picture 336 5.6 hamiltonians with extreme time dependence 345 5.7 time-dependent perturbation theory 355 5.8 applications to interactions with the classical radiation field 365 5.9 energy shift and decay width 371 6 scattering theory 386 6.1 scattering as a time-dependent perturbation 386 6.2 the scattering amplitude 391 6.3 the born approximatiofi 399 6.4 phase shifts and partial waves 404 6.5 eikonal approximation 417 6.6 low-energy scattering and bound states 423 6.7 resonance scattering 430 6.8 symmetry considerations in scattering 433 6.9 inelastic electron-atom scattering 436 7 identical particles 446 7.1 permutation symmetry 446 7.2 symmetrization postulate 450 7.3 two-electron system 452 7.4 the helium atom 455 7.5 multiparticle states 459 7.6 quantization of the electromagnetic field 472 8 relativistic quantum mechanics 486 8.1 paths to relativistic quantum mechanics 486 8.2 the dirac equation 494 8.3 symmetries of the dirac equation 501 8.4 solving with a central potential 506 8.5 relativistic quantum field theory 514 a electromagnetic units 519 a.1 coulomb's law, charge, and current 519 a.2 converting between systems 520 b brief summary of elementary solutions to schrodinger's wave equation 523 b.1 free particles (v= 0) 523 b.2 piecewise constant potentials in one dimension 524 b.3 transmission-reflection problems 525 b.4 simple harmonic oscillator 526 b.5 the central force problem [spherically symmetrical potential v=v(r)] 527 b.6 hydrogen atom 531 c proof of the angular-momentum addition rule given by equation (3.8.38) 533 bibliography 535 index 537 |
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