|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Englert B.G. (Ed) — Quantum Mechanics |
|
|
|
| Предметный указатель |
Equations of motion for operator fields 396
Equations of motion for the evolution operator 217
Equations of motion, constant force 224
Equations of motion, driven oscillator 272
Equations of motion, electromagnetic radiation 437 440
Equations of motion, free particle 223
Equations of motion, Hamilton’s 200 207
Equations of motion, harmonic oscillator 226
Equations of motion, Heisenberg’s 196 211
Equations of motion, non-Hermitian variables 270
Equations of motion, probability operator 217
Equations of motion, Schroedinger’s 197 211
Ergodic theorem 75
Euclid of Alexandria 38
Euclidean geometry 61
Euclidean space 38
Euler, Leonhard 64
Eulerian angles 162—169 179
Euler’s beta function integral 365
Euler’s constant 369
Euler’s factorial function integral 292
Euler’s identity 64
Evolution operator 217
Evolution operator, equations of motion 217
Evolution operator, group property 217
Exchange terms 407
Exclusion principle 381
expectation value 48 93 109—111 140
Expectation value of a unitary operator 140
Factorial function 292 350 369
Factorial function, Euler’s integral 292
FD (Fermi — Dirac) 356
FD statistics 356
FD statistics and spin 358
FD statistics, commutation relations 380
Fermi — Dirac see “FD”
Fermi, Enrico 356
Fermion 380
Fermi’s Golden Rule 372
Feynman, Richard Phillips 308
Fine structure constant 335 430 461
First quantization 383
Flux, incident 332 466
Flux, scattered 332
Fock representation 144
Fock states 144 377
Fock, Vladimir Alexandrovich 144
Force-free motion see “Free particle”
Fourier, Jean Baptiste Joseph 104
Fourier’s integral theorem 104
Free particle 202—207
Free particle, energy eigenstates 237
Free particle, equations of motion 223
Free particle, Hamilton operator 223
Free particle, state density 232
Free particle, time transformation function 224
frequency 203
Function of a measurement symbol 50
Function of an observable 50
Functional derivative 396
Furry, Wendell Hinkle 451
Galilean invariance 183—191
Galilean — Newtonian relativity 183
Galilei, Galileo 1 183
Gauge transformation 322 438 467
Gauge transformation, infinitesimal 467
Gauss, Karl Friedrich 104
Gaussian Fourier integral 104 235
Gauss’s theorem 414
Generating function 129
Generating function for Hermite polynomials 142
Generating function for Laguerre polynomials 291 301 302
Generating function for Legendre polynomials 181
Generating function for probability amplitudes 281
Generating function for spherical harmonics 174
Generator 150
Generator for operator fields 395
Gerlach, Walther 29
Glauber, Roy Jay 130
Grassmann, Hermann Guenther 400
Green, George 246
Green’s identity 293
Half-width 392
Hamilton operator 183 (see also “Hamiltonian”)
Hamilton operator for FD systems 394
Hamilton operator for many-electron atoms 405
Hamilton operator for operator fields 395
Hamilton operator for system of particles 190—191
Hamilton operator, charge in electric and magnetic field 321
Hamilton operator, charge in homogeneous magnetic field 324
Hamilton operator, constant force 224
Hamilton operator, driven oscillator 272
Hamilton operator, free particle 223
Hamilton operator, harmonic oscillator 226
Hamilton operator, identical particles 386
Hamilton operator, three-dimensional oscillator 295
Hamilton operator, two-dimensional oscillator 288
Hamilton, Sir William Rowan 183
Hamiltonian 183 (see also “Hamilton operator”)
Hamilton’s equations of motion 200 207
Harmonic oscillator, dimensionless variables 230 235 269
Harmonic oscillator, dimensionless variables, driven see “Driven oscillator”
Harmonic oscillator, energy eigenstates 230
Harmonic oscillator, energy eigenvalues 230 271
Harmonic oscillator, energy eigenvalues, their multiplicity 230
Harmonic oscillator, equations of motion 226
Harmonic oscillator, Hamilton operator 226
Harmonic oscillator, non-Hermitian variables 269
Harmonic oscillator, three-dimensional isotropic see “Three-dimensional oscillator”
Harmonic oscillator, time transformation function 227 271
Harmonic oscillator, two-dimensional isotropic see “Two-dimensional oscillator”
Harmonic oscillator, virial theorem 310
Harmonic oscillator, wave functions 236 271
Harmonic oscillator, wave functions, asymptotic form 272 299
Hartree equations 408
Hartree — Fock equations 407
Hartree — Fock equations, exchange terms 407
Hartree, Douglas Rayner 407
Harvard University VII
Heaviside, Oliver 273
Heaviside’s unit step function 273
Heisenberg, Werner 14 85
Heisenberg’s equation of motion 196
Heisenberg’s non-commutativity 85
Heisenberg’s non-commutativity and Max Born 85
Heisenberg’s non-commutativity and Schroedinger’s wave mechanics 87
Heisenberg’s uncertainty principle 110
Heisenberg’s uncertainty relation 110
Heisenberg’s uncertainty relation, Robertson’s general form of 140
Helicity 192 470
Helium ( ) ion 337
Helium ( ) nucleus 356
Hellmann — Feynman theorem 308
Hellmann, Hans 308
Hermite polynomials 118—123 236
Hermite polynomials of low order 119
Hermite polynomials, differential equation 119
Hermite polynomials, generating function 142
Hermite polynomials, orthogonality 143
Hermite polynomials, recurrence relations 119
Hermite polynomials, roots of the 120
Hermite, Charles 53
Hermitian conjugation see “Adjoint”
Hydrogen ion ( ) 431
Hydrogenic atoms in external electric field 316—319
Hydrogenic atoms in external fields 365—368
Hydrogenic atoms in external fields, effective coupling strength 365
Hydrogenic atoms in parallel electric and magnetic field 323
Hydrogenic atoms, axial vector 358—365
Hydrogenic atoms, axial vector, geometrical significance 360
| Hydrogenic atoms, circular Rydberg states 373 471
Hydrogenic atoms, decay rate 471
Hydrogenic atoms, energy eigenvalues 305
Hydrogenic atoms, energy eigenvalues, their multiplicity 305 315 319 363
Hydrogenic atoms, fine structure 461
Hydrogenic atoms, ground-state wave function 363 365
Hydrogenic atoms, radial expectation values 306 311 312 318 333 338 339 373
Hydrogenic atoms, scattering states 328—333
Hydrogenic atoms, Schroedinger equation 314
Hydrogenic atoms, Schroedinger equation, in parabolic coordinates 314
Hydrogenic atoms, Stark-shifted energies 319
Hydrogenic atoms, Stark-shifted energies, their multiplicity 319
Hydrogenic atoms, virial theorem 310
Hydrogenic atoms, wave functions 307
Hyperon 19
Identical particles, annihilation operators 377
Identical particles, commutation relations 380
Identical particles, creation operators 377
Identical particles, dynamics 386—387 392—394
Identical particles, equations of motion 386 394
Identical particles, Hamilton operator 386 394
Identical particles, ladder operators 377
Identical particles, Lagrangian 393
Identical particles, measurement symbol 375
Identical particles, modes 376
Identical particles, modes, occupied 385
Identical particles, multi-particle operators 384
Identical particles, multi-particle states 385—386
Identical particles, multi-particle states, wave functions 399
Identical particles, non-interacting 397—403
Identical particles, number operator of a mode 377
Identical particles, one-particle operators 375 381—384
Identical particles, scattering of 355—358
Identical particles, Schroedinger equation 387
Identical particles, single-particle energy 401
Identical particles, time transformation function 397
Identical particles, total number operator 377 405
Identical particles, two-particle operators 381—384
Incident wave 243
Independent systems 78
Independent-particle energies 408
Interference 41—46
Interference between incident and reflected wave 248
Interference, constructive 46
Interference, destructive 46
Internal energy 190
Internal variables 190 191
Inverse of a product 65
Inverse of a unitary operator 65 67
Inverse of an ordered exponential 125
Isospin 177
Jeffreys, Sir Harold 246
Kepler, Johannes 373
Ket 38
kinetic energy 320
Kinetic energy of two-body system 344
Kinetic momentum 321
Kramers, Hendrik Anthony 246
Kronecker, Leopold 36
Kronecker’s delta symbol see “Delta symbol”
Ladder operators 153 377
Lagrange operator see “Lagrangian”
Lagrange, Joseph Louis de 209
Lagrangian 209
Lagrangian density 437
Lagrangian for BE systems 393
Lagrangian for charge in electric and magnetic field 322
Lagrangian for charge in electric field 320
Lagrangian for FD systems 393
Lagrangian for identical particles 393
Lagrangian for operator fields 395
Lagrangian with velocity dependence 320
Laguerre equation 287 294
Laguerre polynomials 282
Laguerre polynomials in hydrogenic wave functions 307
Laguerre polynomials of complex degree 330 349
Laguerre polynomials of low order 282
Laguerre polynomials, contour integral representation 330 349
Laguerre polynomials, differential equation 287
Laguerre polynomials, first and last series terms 282
Laguerre polynomials, generating function 291 301 302
Laguerre polynomials, orthogonality 292
Laguerre polynomials, power series 282
Laguerre polynomials, power series, initial terms 283
Laguerre polynomials, recurrence relations 286 287
Laguerre, Edmond 282
Lamb shift 461
Lamb shift, Bethe’s result 461
Lamb, Willis Eugene 461
Landau levels 334
Landau, Lev Davidovich 334
Langer, Rudolph Ernest 336
Langer’s correction 336
Laplace, Marquis de Pierre Simon 174
Laplace’s equation 174 297 373
Laplacian differential operator in curvilinear coordinates 293
Laplacian differential operator in parabolic coordinates 314
Laplacian differential operator in polar coordinates 293
Laplacian differential operator in spherical coordinates 296
Laplacian differential operator, vector eigenfunctions 439
Larmor formula 463 467
Larmor, Sir Joseph 463
Left to right reading 36 38 41 53
Legendre, Adrien Marie 173
Legendre’s polynomial 173 174 347 369
Legendre’s polynomial of low order 180
Legendre’s polynomial, expansion of plane wave 347
Legendre’s polynomial, generating function 181
Legendre’s polynomial, integral representation 181
Legendre’s polynomial, orthogonality 180
Light quantum 5
Linear momentum 183 (see also “Momentum”)
Linear momentum, conservation of 198
Linear potential 252
Linear potential, energy eigenstates 253
Linear potential, energy eigenvalues 254
Linear potential, WKB approximation 255
Linear restoring force see “Harmonic oscillator”
Local-oscillator approximation 229 262
Long-wavelength limit 465
Lord Rayleigh see “Strutt J.W.”
Lorentz force 322 339
Lorentz, Hendrik Antoon 322
m.m. see “Magnetic moment”
Magnetic dipole 30 (see also “Magnetic moment”)
Magnetic dipole, precession of, in magnetic field 34
Magnetic field 30 322 387 437
Magnetic field of uniformly moving charge 452
Magnetic field, energy of magnetic dipole in 30
Magnetic field, force on magnetic dipole in 30
Magnetic field, precession of magnetic dipole in 34
Magnetic field, rotating 389
Magnetic field, torque on magnetic dipole in 88 387
magnetic moment 29 30 38 69 387
Magnetic moment, average, measured 40
Magnetic moment, energy of, in magnetic field 30
Magnetic moment, force on, in magnetic field 30
Magnetic moment, torque on, in magnetic field 88 387
Many-electron atoms, binding energy 419 424 428
Many-electron atoms, binding energy, exchange energy contribution 426—427
Many-electron atoms, binding energy, innermost electrons 424
Many-electron atoms, binding energy, oscillatory terms 428—430
Many-electron atoms, binding energy, quantum corrections 425—426
Many-electron atoms, binding energy, relativistic contribution 430
Many-electron atoms, binding energy, smooth part 428
Many-electron atoms, binding energy, TF approximation 419
Many-electron atoms, effective potential 408
Many-electron atoms, electron density 408
Many-electron atoms, energy, as a functional of the density 409
Many-electron atoms, energy, as a functional of the effective potential 410
|
|
|
| Реклама |
|
|
|
|
|
О проекте