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Rodberg L.S., Thaler R.M. — Introduction to the quantum theory of scattering
Rodberg L.S., Thaler R.M. — Introduction to the quantum theory of scattering

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Название: Introduction to the quantum theory of scattering

Авторы: Rodberg L.S., Thaler R.M.

Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1967

Количество страниц: 413

Добавлена в каталог: 04.05.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abstract vector space      see "Vector space"
Addition of angular momentum      see "Angular momentum"
Adiabatic switching      218
Adjoint matrix      171
Adjoint operator      171
Adjoint space      165
Adjoint vector      165
Analiticity      see "Radial Green's function"
Angular momentum, addition of      286—299
Angular momentum, barrier      28
Angular momentum, conservation of      261—263
Angular momentum, eigenfunctions of      285—287
Angular momentum, orbital      27
Angular momentum, orbital, eigenstates of      241 245
Angular momentum, projection operator      see "Projection operators"
Angular momentum, raising and lowering operators      see "Raising and lowering operators"
Angular momentum, representation      241
Antilinear operator      268
Antisymmetrization of state vector      206—208
Antiunitary operator      269
Asymmetry left-right      306 313—316
Attenuation      370—371
Beam monitor      9
Bessel functions, integral representation of      123
Born approximation      144—149 158 183 291 324
Born approximation to phase shift      147
Born approximation, distorted wave      147—149 324 327—341 379
Born approximation, validity of      145—146
Born expansion      143—149 158 177 178 237 353
Born expansion, convergence of      144 153
Boundary condition      105 201
Boundary condition for scattering      13
Boundary condition, incoming-wave      see "Incoming wave"
Boundary condition, outgoing-wave      see "Outgoing wave"
Boundary condition, periodic      108
Boundary condition, regularity at origin      29
Boundary condition, relation to experimental situation      3
Bra      165
BRA-KET Symbolism      164 ff.
Bragg scattering      12
Breakup reaction      187 ff. 336—339
Breit — Wigner formula      380—383 388
Bremsstrahlung      339—341
Causality condition      136—137
Center of mass      2
Center-of-mass coordinate      250
Center-of-mass motion      260—261 331
Center-of-mass system      260
Channel      380
Channel spin      297—299 308
Channel, entrance      380
Channel, exit      380
Charge exchange operator      243
Charge exchange scattering      243 ff.
Classical limit      see "JWKB Approximation"
Classical scattering formula      63
classical turning points      see "Turning points"
Clebsch — Gordan coefficients      287—288
Closure      85 109 115
Closure approximation      359
Coherent part      366 ff.
Coherent wave      364—366
Collimator      4
Collision cross section      see "Cross section differential"
Commutator      254
Commuting observables      166
comparison function      see "Free particle comparison function"
Competing processes      244
Complete set      166
Completeness      85 168 232 234 245
Complex conjugate operator      270
Complex potential      see "Potential"
Compound elastic scattering      388
Compton scattering      347
Conjugate variable      254
Conservation laws      249 ff.
Conservative potential      2
Continuous spectrum      109
Continuous variables      166
Contour integration      104
Contour of integration      101 110
Coordinate representation      168 345
Coulomb force      51
Coulomb function      63—72
Coulomb function in parabolic coordinates      66
Coulomb function, radial      65
Coulomb interference      71
Coulomb phase      72
Coulomb potential      see "Scattering"
Cross section      6 187 225—226 299—307
Cross section for general scattering problem      193
Cross section for identical particles      208—210
Cross section for rearrangement collisions      202
Cross section, differential      8 21 195 303—305 312—313
Cross section, experimental definition of      21
Cross section, total      8
Cross section, unpolarized      305 315
Current      91 124
Current density      6 8
Current, conservation of      9 10 22 25 33 293—295
Damping equation      238 240—244 247
Delta function      166
Delta function in angular momentum representation      242
Delta function, source      128
Density matrix      311—313
Density of states      195—196 202
Detailed balance theorem      276
Detection probability      20
Detector      4 194
Determinantal method      156
Differential cross section      see "Cross section"
Diffraction      61 358
Dirac delta function      see "Delta function"
Dirac notation      see "BRA-KET Symbolism"
Dirac operator formalism      see "Operator formalism"
Discrete spectrum      84 109
Distorted wave approximation      see "Born approximation"
Distorted wave Born approximation      see "Born approximation"
Distorting potential      see "Potential"
Double scattering      306
Double scattering, contribution to T matrix      359—360
Effective field      353
Effective incident wave      353 355 363 367
Effective incident wave operator      376
Effective interaction      386
effective mass      372
Effective range      47
Effective range expansion      see "Phase shift"
Effective range, generalized      156
Eigen-phase shift      246
Eigenfunction expansion      100 see
Eigenfunctions      84 ff.
Eigenfunctions, normalized      85
Eigenvalue equation      166
Eigenvector expansion      167—169
Elastic scattering      2 26 187 329—332 357 363—379 381
Electromagnetic interaction      339
Energy conservation      186 255
Energy shell      160 343 see "T
Entrance channel      see "Channel"
Exchange scattering      187 ff. 332—336
Exchange term, in identical particle scattering      209
Excited states      377
Existence of scattering operator      231—233
Exit channel      see "Channel"
Exponential operator      212
Final state form of state vector      see "State vector"
Final state Hamiltonian      see "Hamiltonian"
Final state interaction      337 340
Final state potential      see "Potential"
Flux conservation      see "Current conservation
Form factor      347 357 369
Fourier expansion      138 140
Fourier transform      169 342 344 347
Fraunhofer scattering      135
Fredholm determinant      150 155
Fredholm method      149—157
Fredholm method, expression for phase shift      154—156
Fredholm method, three-dimensional      156—157
Free particle      14
Free particle Hamiltonian      188
Free particle, comparison function      73 78
Fresnel scattering      135
Gallilean invariance      255—261
Gallilean transformation operator      256
Gauge invariance      339
Generator of transformation      see "Transformation"
Green's function      73 ff. 107—121
Green's function for motion in non-Hermitian potential      120—121
Green's function for particle with spin      289—290
Green's function for unbounded domain      110
Green's function, as inverse operator      116
Green's function, asymptotic behavior      118—121
Green's function, eigenfunction expansion      125
Green's function, free particle      121
Green's function, general form of      112—114
Green's function, initial state      366
Green's function, integral equation for      134
Green's function, many-particle      121—126
Green's function, many-particle, asymptotic behavior of      123
Green's function, many-particle, for motion in potential      115—117 124—126
Green's function, operator form of      174—177
Green's function, outgoing-wave      110—112 114 128 191
Green's function, relation to radial Green's function      114—115
Green's function, singularity of      108
Green's function, symmetry of      116
Green's function, symmetry property      110
Green's function, time-dependent      136—141 212
Green's theorem      139
Hamiltonian      1
Hamiltonian, final state      333 334 336 339
Hamiltonian, hermiticity of      see "Hermiticity"
Hamiltonian, initial state      328 352 366
Hankel function      123
Hartree potential      see "Potential"
Heisenberg equation of motion      215
Heisenberg picture      215 ff.
Heitler damping equation      see "Damping equation"
Hermitian matrix      171
Hermiticity      93 173 201 238 294 326
Hermiticity of K Matrix      see "K Matrix"
Hilbert space      see "Vector space"
Hypergeometric function      64
Identical particles      205—210
Impact parameter      59
Impulse approximation      341—350 353 356
Impulse approximation, validity of      348—350
Incident beam      190
Index of refraction      see "Refractive index"
Inelastic scattering      187 ff. 194 331—332 341 347 358 364 378
Ingoing-wave      119
Ingoing-wave function      119
Initial state Green's function      see "Green's function"
Initial state Hamiltonian      see "Hamiltonian"
Initial state potential      see "Potential"
Integral equation(s) for scattering amplitude      157—162
Integral equation(s) for time-dependent wave function      138—141
Integral equation(s) for wave function      127—136
Integral equation(s) of scattering theory      127 ff.
Integral equation(s) with distorted wave      130—131
Integral equation(s), solution of      127 ff.
Integral equation(s), stationary state      141
Integral equation(s), time-dependent derivation of      136—141
Integral, principal value of      see "Principal value"
Interaction picture      212 ff. 214
Interference between Coulomb and nuclear scattering      see "Coulomb interference"
Invariance principles      249 ff.
Invariance properties      313
Inverse operator      165
JWKB approximation      55—63
JWKB Approximation for Coulomb potential      63
JWKB Approximation, classical limit      59—63
JWKB Approximation, connection formulas      57
K matrix      34 76 227—248
K Matrix, hermiticity of      238 240
K Matrix, off energy shell      239
Ket      165
Kinetic energy operator      173 332 334 352
Kronecker delta      166
Laplacian operator in spherical coordinates      26
Laue conditions      358
Legendre expansion      114 265 see
Logarithmic derivative      35 90 100
magnetic quantum number      273
Many-body problem      351
Many-body system, scattering by      see "Scattering"
Many-particle Green's function      see "Green's function"
Matrix      170
Matrix element      170 182
Matrix methods in scattering theory      307—316
Mean free path      373
Mittag — Leffler theorem      87—90
Mixed representation      365
Momentum, conservation of      249—255
Momentum, representation      168
Momentum, total      251 254 259
Multiple scattering      351—356
Newton's second law      63
Normalization condition      166
normalization constant      31—32
Normalization of vectors in vector space      164 ff.
Operator      165
Operator equation for transition operator      183
Operator form of scattering equations      171—183
Operator formalism      163 ff.
Operator, antilinear      see "Antilinear"
Operator, antiunitary      see "Antiunitary"
Operator, representation, of      see "Representation"
Optical potential      363—379
Optical potential, approximate form      366—369
Optical potential, approximations for      377—379
Optical potential, exact form of      373—377
Optical potential, local approximation to      368
Optical potential, multiple scattering expansion for      377—378
Optical theorem      9 10 22 25 33 146 183—186 226 235—237 242 293—295
Orbital angular momentum      see "Angular momentum"
Ordinary scattering      187 ff. 329—332 384
Ordinary scattering, S matrix for      see "S Matrix"
Orthogonal set      85 166
Orthogonality      231 see orthogonality
Orthogonality relation      166
Orthonormality      92
Orthonormality relation      108
Outgoing wave boundary condition      19 124 128 189
Outgoing wave Green's function      see "Green's function"
Parabolic coordinates      66
Parity, conservation of      185 263—266
Parity, intrinsic      263
Partial wave expansion      281—282 292 see
Partial width      383 388
Pauli principle      see "Identical particles"
Pauli spin matrix      270 280
Periodic boundary conditions      see "Boundary conditions"
Permutation operator      206
Perturbation theory, time dependent      216
Phase amplitude method      52—63
Phase shift      29 32 383
Phase shift for square well      35—36 58
Phase shift, Born approximation, to      see "Born approximation"
Phase shift, calculation of      25—44
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