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McGuire J.H. — Electron correlation dynamics in atomic collisions
McGuire J.H. — Electron correlation dynamics in atomic collisions



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Название: Electron correlation dynamics in atomic collisions

Автор: McGuire J.H.

Аннотация:

This graduate/research level text introduces the theory of multi-electron transitions in atomic, molecular and optical physics, emphasizing the emerging topic of dynamic electron correlation. The book begins with an overview of simple binomial probabilities, classical scattering theory, quantum scattering and correlation, followed by the theory of single electron transition probabilities. Multiple electron transition probabilities are then treated in detail. Various approaches to multiple electron transitions are covered including the independent electron approximation, useful statistical methods and perturbation expansions treating correlation in both weak and strong limits. The dynamics of electron correlation are strongly emphasized. The text contains a comprehensive summary of data for few and many-electron transitions in atoms and molecules, including transitions on different atomic centers, fast ion-atom and electron-atom interactions, and recent observations using synchrotron radiation. Emphasis is given to methods that may be used by nonspecialists.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 302

Добавлена в каталог: 22.02.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Experiment, multiple transfer      169
Experiment, multiple transition      89
Experiment, multiple transitions, ion-atom      173
Experiment, photoannihilation      219 240
Experiment, photon, two      221
Experiment, projectile with electron      196 197
Experiment, projectile with electron, impact parameter dependence      196
Experiment, Raman scattering      219
Experiment, ratio of cross sections charged particle      167 168 240 241
Experiment, ratio of cross sections, differential      168
Experiment, ratio of cross sections, in He      138
Experiment, ratio of cross sections, photon      218 219 240 241
Experiment, Rydberg atom, antiscreening      195 196
Experiment, Rydberg atoms, $Z^{3}$ effects      168
Experiment, screening and antiscreening      195
Experiment, single excitation, charged particle      48
Experiment, single ionization, charged particle      48 49
Experiment, single transition, correlation      50
Experiment, single transition, differential      50
Experiment, single transition, photon      218
Experiment, squeezed light      221
Experiment, strong laser fields      218 220
Experiment, synchrotron radiation      218
Experiment, transfer excitation      171
Experiment, transfer ionization      170 171
Experiment, transfer ionization, differential      171
Experiment, Wannier threshold      43 218
Faltung theorem      183
Final state      2
Final state, classification      21 72
First order perturbation theory, scaling laws      26
Fock sum rule      246
Fokker — Planck method      111
Fokker — Planck method, diffusion coefficient      116
Fokker — Planck method, example      115
Fokker — Planck method, frictional velocity      116
Forced impulse method (FIM)      71 167 241
Free collision model      195
Free will      121
Frozen correlation      63
Frozen, density      65
Frozen, electron      5 77 81 103
Frozen, nuclei      97 99
Frozen, projectile      193
Frozen, time      113
Gauge Coulomb      199 202
Gauge invariance      206 212
Gauge invariance, and continuity equation      212
Gauge invariance, shake      209
Gauge invariance, violation of      206
Gauge transformation      221
Gauge transformation, between $L$, $V$, $A$ forms      201
Gauge transformation, electrodynamic      221
Gauge transformation, quantum mechanical      221
Gauge transformation, relation between electrodynamical and quantum mechanical      223
Gaussian surface      186
Generalized oscillator strength      179 214 226 230 232 235 278 133 137; generalized
Geometric structure factor      99 101 103
Gluons      101
Green function      23 60 152 193 248
Green function, example      249
Ground state      8
GSC amplitude      162 206
Hamiltonian      11 18 57 125 138 139
Hamiltonian, atom      58 78
Hamiltonian, charged particle impact      18
Hamiltonian, cluster      90
Hamiltonian, correlated      57 78
Hamiltonian, electronic      59 75 175
Hamiltonian, gauge terms      222
Hamiltonian, many electron atom      57 78
Hamiltonian, molecular      90
Hamiltonian, partition of      65
Hamiltonian, photon      199
Hamiltonian, projectile electrons      175
Hamiltonian, single electron      208
Hamiltonian, time invariance      248
Hamiltonian, two electron      223 225
Hamiltonian, uncorrelated      62 79 92 104
Hamiltonian, zero point energy      222
Hamilton’s equations      139
Hartree approximation      81 121
Hartree wavefunction      103
Hartree — Fock      62 121
Hartree — Fock, time dependent      71
Hyperspherical coordinates      126
Impact parameter      8 250
Impact parameter representation      63
Impact parameter, localization criterion      63
Impact parameter, virtual      182 184 187
Impulse approximation      191 193-5
Inclusive probability      5 66
Incoherent      176
Incoherent scattering      182
Incoherent scattering function      226
Incoherent scattering, by a photon      227
Incoherent term      178
Independent center independent electron approximation      90
Independent center independent electron approximation, summary      102
Independent center independent electron approximation, validity      96
Independent electron approximation      3 14 15 70 77 103 128 184
Independent electron approximation, energy conservation      88
Independent electron approximation, in coupled channel equations      82
Independent electron approximation, multiple centers      90
Independent electron approximation, shake included      145
Independent electron approximation, validity of      77
Independent event model      89
Independent subcluster approximation      103
Inelastic form factor      232
Inelastic scattering      21
Inelastic scattering factor      226
Inelastic scattering, by a photon      227
Inelastic term      178
information      121
Information theory      117
Initial condition      18 20 249
Interaction correlation      79
Interaction potential      58 127
Interaction representation      59 127
Interdependency      120
Interdependent electrons      14
ion implantation      84
Ionization      21
Ionization, double, charged particle      166
Ionization, double, photon      204 218
Ionization, molecules      168
Ionization, multiple      85 166
Ionization, multiple, energy spectrum      215
Ionization, multiple, observed      88
Ionization, multiple, statistical energy distribution      110
Ionization, plus excitation      170
Ionization, plus transfer      136 170
Ionization, single, charged particle      39 48
Ionization, single, photon      204
Ionization, two electron      70
Liouville equation      141
Liouvillian      138 141
Liouvillian, generation of correlation      141
Locality      10
Locality, non-locality in time      248
Long range effects      19 34 41 201
Many body perturbation theory      159
Many body perturbation theory, $V^{N}$ and $V^{N-1}$ potentials      163
Many body perturbation theory, basis states      163
Many body perturbation theory, diagrams      159
Many body perturbation theory, GSC      162 163 206 207
Many body perturbation theory, photoionization      203 204
Many body perturbation theory, reasons for use      159
Many body perturbation theory, satisfying gauge invariance      212 213
Many body perturbation theory, SO      127 162 163 206 207
Many body perturbation theory, TS1      162 163 206 207 221
Many body perturbation theory, TS2      161
Many body perturbation theory, violation of gauge invariance      206
Many body problem      106 120
Many electron, $N$ body      184 191 254
Many electron, correlation      62
Many electron, cross section      61
Many electron, effects      125
Many electron, operators      61
Many electron, scattering operator      127
Many electron, transition probability      61 145
Many electron, wavefunction      61
Markov process      113 114
Mass transfer      34 287;
Massey parameter      25 227
Materials science      229
Maximum entropy method (MEM)      117
Maximum entropy method (MEM), crystallography      117
Maximum entropy method (MEM), image processing      117
Maximum entropy method (MEM), ion-atom collisions      117
Maximum entropy method (MEM), NMR spectroscopy      117
Maximum entropy method (MEM), radioastronomy      117
Maximum entropy method (MEM), solid state physics      117
Mean field potential      78 79 99 121 125 126 130 131 163
Measurement problem      182
Mechanisms correlation      128 130 164 167 176 209 219 221
Mechanisms, scattering      7 74 128 130 164 167 170 176 221
Mechanisms, Thomas process      170
Mechanisms, violation of gauge invariance      209
Memory      113 121
Mesoscopic systems      119
Molecular orbital expansion      23
Molecule      90
Molecule, Coulomb explosions      103
Molecule, independent electron approximation      90
Momentum mechanical      199
Momentum space hydrogenic wavefunc-tions      246
Momentum transfer      63 199 233 250
Momentum, quiver      199
Multi-photon processes      155
Multinomial distribution      6 84 88 89 252
Multiple electron, $N$ body      57 58 61 62 77 90 120 140 141 168 169 174 176
Multiple electron, $N$ body, independent      77 90
Multiple electron, classification of transitions      72
Multiple electron, four body      43 174
Multiple electron, three body      41 42 168 221
Multiple electron, transitions rule of thumb      169
Multiple electron, two body      144 154 155 161 162 164 175 198 204 221 223 225 231 240
Multipole expansion      73 230
Names of various processes with photons      227
Nano-systems      119
Neutron scattering      101
Non-dipole      230
Non-dipole fraction      231
Non-locality      10 121
Non-locality, in time      248
Non-locality, local limit of      184
Non-orthogonality      34 66 83 126
Operators, many electron      61 127
Operators, single particle      79
Orthonormality      18
Oscillator strength      235
Over the barrier model      47
Overcounting      21
Partial wave expansion      28 73 230
Particle picture      11 63
Particle picture, relation to wave picture      250
Particle picture, validity      64
Particle, local      11
Particles and waves      28 63
Particles and waves, correlation      121
Pauli exclusion      68
Pauli exclusion, many electron      82
Pauli exclusion, Pauli blocking      82
Pauli exclusion, role in correlation      81
Pauli exclusion, two electron system      81
Perturbation expansion, first order      156 174
Perturbation expansion, in correlation potential      159
Perturbation expansion, many body      159
Perturbation theory      24 70 144
Perturbation theory, charged particles      229
Perturbation theory, expansion parameters      226
Perturbation theory, photons      203 229
Perturbation theory, second order      150 154 155 157 161
Phase, independent electrons      101
Photo effect      74 203 228 229
Photo emission and absorption      228
Photoabsorption      228
Photoabsorption, related to charged particle scattering      235
Photoannihilation      74 203 228 229
Photoannihilation, and charged particle scattering      235 237 239 240
Photoannihilation, and Compton scattering      237 239 240
Photoannihilation, quasi-forbidden      219
photoemission      72
Photoionization      74 138 215 228 229 235
Photoionization, and charged particle ionization      235 237 239 240
Photoionization, molecules      218
Photoionization, one electron      218
Photoionization, single      203
Photoionization, two electron      204 205 218
Photon, multiphoton      218 220 229
Photon, one photon      198 199
Photon, Raman scattering      217
Photon, relation to charged particle      229
Photon, two photons      213 216
Photon, two photons, two electron transition      220
Photon, virtual      229
Polarization of photon electric field      199
Potential between subclusters      92
Potential, $V^{N-1}$      164
Potential, $V^{N}$      163
Potential, correlation      79 121
Potential, Coulomb, Rutherford scattering      229
Potential, interaction      127
Potential, single particle      79
Potential, vector      199
probability      1 17
Probability amplitude      13 61
Probability amplitude, first order in closed form      32
Probability amplitude, from scattering amplitude      250
Probability amplitude, general one electron transition      32
Probability amplitude, perturbation expansion      156
Probability amplitude, transformation to wave amplitude      198
Probability amplitude, uncorrelated      145
probability density      140
Probability distribution, BBGKY hierarchy      122
Probability distribution, binomial      4 84
Probability distribution, Fokker — Planck      111
Probability distribution, maximum entropy      117
Probability distribution, multinomial      6
Probability distribution, statistical energy deposition      108
Probability distribution, two particle      123
Probability distribution, Wigner distribution      141
Probability function      4
Probability, $N$ particle      4
Probability, binomial distribution      84
Probability, coin      1 5
Probability, correlated      15
Probability, dice      1 5
Probability, excitation      29
Probability, exclusive      4 6 66
Probability, first Born table      53
Probability, inclusive      5 66 81
Probability, many electron      70
Probability, product of single particle      80
Probability, relation to cross section      9
Probability, shake      134 138 145
Probability, single electron      16
Probability, transition      8 62
Probability, two particle      2
1 2 3
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