Symbols used in the book |
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xiv | |
Notations often used in the book |
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xv | |
Universal constants |
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xvi | |
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1 Operators in quantum mechanics |
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1 | (31) |
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1.1 Basic concepts of the theory of linear operators |
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2 | (6) |
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1.2 Eigenfunctions, eigenvalues, mean values |
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8 | (12) |
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1.3 The projection operators |
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20 | (2) |
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1.4 Quantum-mechanical representations of operators and wave-functions; Unitary operators |
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22 | (10) |
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32 | (52) |
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2.1 Stationary states in discrete spectrum |
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33 | (13) |
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2.2 The Schrodinger equation in momentum space; The Green function and integral form of the Schrodinger equation |
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46 | (10) |
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2.3 The continuous spectrum; Reflection from and transmission through potential barriers |
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56 | (18) |
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2.4 Systems with several degrees of freedom; Particle in a periodic potential |
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74 | (10) |
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3 Orbital angular momentum |
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84 | (32) |
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3.1 General properties of angular momentum |
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86 | (8) |
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3.2 Angular momentum, I = 1 |
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94 | (5) |
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3.3 Addition of angular momenta |
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99 | (10) |
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3.4 Tensor formalism in angular momentum theory |
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109 | (7) |
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4 Motion in a spherically-symmetric potential |
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116 | (49) |
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4.1 Discrete spectrum states in central fields |
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117 | (24) |
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141 | (12) |
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4.3 Symmetries of the Coulomb problem |
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153 | (5) |
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4.4 Systems with axial symmetry |
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158 | (7) |
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165 | (48) |
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166 | (14) |
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5.2 Spin-orbital states with spin's = 1/2; Higher spins |
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180 | (11) |
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5.3 Spin density matrix; Angular distributions in decays |
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191 | (7) |
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5.4 Bound states of spin-orbit-coupled particles |
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198 | (4) |
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5.5 Coherent-state spin path-integral |
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202 | (11) |
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6 Time-dependent quantum mechanics |
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213 | (57) |
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6.1 The Schrodinger representation; The motion of wave packets |
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214 | (11) |
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6.2 Time-dependent observables; Constants of motion |
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225 | (7) |
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6.3 Time-dependent unitary transformations; The Heisenberg picture of motion |
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232 | (15) |
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6.4 The time-dependent Green function |
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247 | (5) |
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6.5 Quasistationary and quasi-energy states; Berry phase |
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252 | (18) |
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7 Motion in a magnetic field |
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270 | (26) |
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7.1 Stationary states in a magnetic field |
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271 | (15) |
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7.2 Time-dependent quantum mechanics in a magnetic field |
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286 | (5) |
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7.3 Magnetic field of the orbital currents and spin magnetic moment |
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291 | (5) |
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8 Perturbation theory; Variational method; Sudden and adiabatic theory |
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296 | (78) |
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8.1 Stationary perturbation theory (discrete spectrum) |
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298 | (18) |
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316 | (9) |
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8.3 Stationary perturbation theory (continuous spectrum) |
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325 | (11) |
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8.4 Non-stationary perturbation theory; Transitions in continuous spectrum |
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336 | (17) |
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353 | (5) |
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8.6 Adiabatic approximation |
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358 | (16) |
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9 Quasi-classical approximation; 1/N-expansion in quantum mechanics |
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374 | (73) |
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9.1 Quasi-classical energy quantization |
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381 | (27) |
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9.2 Quasi-classical wavefunctions, probabilities, and mean values |
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408 | (12) |
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9.3 Penetration through potential barriers |
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420 | (16) |
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9.4 1/N-expansion in quantum mechanics |
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436 | (11) |
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10 Identical particles; Second quantization |
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447 | (38) |
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10.1 Quantum statistics; Symmetry of wavefunctions |
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448 | (8) |
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10.2 Elements of the second quantization formalism (the occupation-number representation) |
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456 | (16) |
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10.3 The simplest systems with a large number of particles (N >> 1) |
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472 | (13) |
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485 | (113) |
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11.1 Stationary states of one-electron and two-electron atoms |
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486 | (23) |
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11.2 Many-electron atoms; Statistical atomic model |
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509 | (16) |
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11.3 Principles of two-atom-molecule theory |
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525 | (11) |
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11.4 Atoms and molecules in external fields; Interaction of atomic systems |
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536 | (29) |
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11.5 Non-stationary phenomena in atomic systems |
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565 | (33) |
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598 | (39) |
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12.1 Nuclear forces---the fundamentals; The deuteron |
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600 | (12) |
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612 | (15) |
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627 | (10) |
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637 | (139) |
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642 | (21) |
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13.2 Scattering theory: partial-wave analysis |
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663 | (12) |
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13.3 Low-energy scattering; Resonant scattering |
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675 | (38) |
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13.4 Scattering of fast particles; Eikonal approximation |
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713 | (13) |
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13.5 Scattering of particles with spin |
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726 | (11) |
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13.6 Analytic properties of the scattering amplitude |
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737 | (10) |
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13.7 Scattering of composite quantum particles; Inelastic collisions |
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747 | (29) |
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14 Quantum radiation theory |
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776 | (34) |
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779 | (11) |
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14.2 Photon scattering; Photon emission in collisions |
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790 | (20) |
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15 Relativistic wave equations |
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810 | (56) |
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15.1 The Klein-Gordon equation |
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812 | (26) |
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838 | (28) |
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866 | (5) |
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16.1 App. 1. Integrals and integral relations |
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866 | (1) |
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16.2 App.2. Cylinder functions |
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867 | (4) |
Index |
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871 | |