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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
$L$,$V$, $A$ forms of dipole operator      200
$N$ body problem      57
$N$ particles      57 77 138 181
$N$ particles, list of systems      254
$N$ photons      220 229 254
$r$-matrix      44
$T$ matrix      28 160 193
Above threshold ionization      220
Active electron approximation      68
Anti matter      154 167
Antiscreening      176 178 188
Antiscreening, threshold      190
Asymptotic states      125
Atomic form factor      179 185 214 226 230 232 233
Atomic form factor, $N$ electron      181
Atomic form factor, limits of      180
Atomic orbital expansion      22
Auger effect      63 73 131
Average potential      284; see Mean field potential
Band width theorem      152
Bates — Born approximation      34 65
BBGKY hierarchy      15 122 123 141
Bethe Born limit      236
Bethe’s integral      178
Biexciton      220
Binary encounter      241
Binary encounter approximation (BEA)      50
Binding energy, increase of      88
Binomial coefficient      4
Binomial distribution      4 70 84 85 88 145 252
Binomial distribution, comparison to statistical energy distribution (SED)      110
Binomial distribution, recursion relation      4 252
Binomial distribution, three final states      88
Binomial distribution, with subshells      88
biology      10 42 120 229
bonds      120
Born approximation      154 177 233
Born approximation, scaling laws      26
Born expansion      24 144 156
Bose-Einstein condensation      220
boundary conditions      249
Bragg scattering      228
Bremsstrahlung      228
Capture      287; see Transfer
Causality      23 148 152 248 249
Chaos      119
Charge density      186
Charge, $Z^{3}$ effects      145 152 154 164 167 173
Charged particle relation to photon      229
Chemical rate constant      10
Chemistry      10 42 90 104 110 120 159 229
Classical limit of quantum mechanics      285; see Quantum mechanics
Classical radius of the electron      213
Classical scattering calculations      70
Closure      181 189 244
Closure, validity of      181
Cluster      90
Cluster expansion      123
Cluster, independent electron approximation      90
Coherent      176
Coherent and incoherent      182 192
Coherent scattering      181
Coherent scattering, by a photon      227 228
Coherent term      178
Complexity meaning of      68 72 120 121
Compton scattering      203 213 215 227 229
Compton scattering factor      226
Compton scattering, and charged particle scattering      232
Compton scattering, and photoannihilation      237 239 240
Compton scattering, second order      216
Compton scattering, two electron      219
Condensed matter      84 117 120 122
Condensed matter, exciton      220
Conduction band      21
Configuration interaction (CI) method      34 126 130 155
Consciousness      68 121
Continuum, projectile      41
Continuum, state      39
Continuum, target      41
Continuum, wavefunction      70 126
Continuum, wavefunction, BBK      42
Continuum, wavefunction, for hydrogen      245
Continuum, wavefunction, four body      43
Continuum, wavefunction, many charged particles      43
Continuum, wavefunction, N body      43
Continuum, wavefunction, three body      42
Continuum, wavefunction, two body      40
Correlation      14 62 120
Correlation, $j$th order correlation function      123
Correlation, $Z^{3}$ effects      154 164 167 173
Correlation, $Z^{3}$ effects, uncorrelated      145
Correlation, bicentric      130
Correlation, biexciton      220
Correlation, biology      124
Correlation, bird feeding patterns      121
Correlation, chaos      122
Correlation, chemistry      124
Correlation, chemistry, definition of      104
Correlation, common examples      120
Correlation, complexity      121
Correlation, consciousness      68 121
Correlation, corporate growth      121
Correlation, definition      14 120 121
Correlation, degree of correlation      123
Correlation, DNA      121
Correlation, during a collision      127
Correlation, dynamic      62 120 127 128 142-4 151 154 164 165 167 198
Correlation, electron      120
Correlation, entropy      122 124
Correlation, estimates of      128 131
Correlation, evolution operator      127 143
Correlation, exchange      69 81
Correlation, families and individuals      120
Correlation, final state      130 163
Correlation, first use of      122
Correlation, free will      121
Correlation, frozen      63
Correlation, function, BBGKY      15 122 123 141
Correlation, gauge dependence      209
Correlation, generalized correlation coefficient      123
Correlation, generation in $N$ body system      141
Correlation, generation in large systems      143
Correlation, Hamiltonian      57 78
Correlation, heartbeats      121
Correlation, information      121
Correlation, information theory      124
Correlation, initial state      130 163
Correlation, interaction      14 58 79 121 125 175
Correlation, Liouvillian      141
Correlation, mathematical      14 121
Correlation, mechanisms      167 176 209 219 221
Correlation, memory      121
Correlation, molecules      122
Correlation, multi-center      129
Correlation, multicentric      130
Correlation, non-locality      121
Correlation, Pauli      69 81
Correlation, physical      14 121
Correlation, potential      79 121 123 125
Correlation, relation to entangled states      124
Correlation, relative importance      131
Correlation, scale invariance      121
Correlation, scattering      124 127 128 142
Correlation, shake      145
Correlation, single center      130
Correlation, single electron transitions      122
Correlation, solids      122 220
Correlation, spatial      14 121 144 153 165
Correlation, standard deviation      122
Correlation, static      122 125 198
Correlation, static and dynamic      124
Correlation, statistical      15 69 121
Correlation, statistical mechanics      122
Correlation, stochastic uses      122
Correlation, time      15 121 144 151 165
Correlation, two center      129 174
Correlation, two electron transitions      154
Correlation, two particle correlation function      123
Correlation, uncorrelated limit      62 103 121
Correlation, uncorrelated limit, with shake      145
Correlation, water      121
Correlation, wavefunction      121
Correlation, waves and particles      121
Coulomb explosions      103
Coulomb potential      245
Coulomb potential, long range effects      41 43 64
Coulomb potential, removing the long range tail      19 34 42 58 65
Coulomb scattering classical correspondence      55
Coulomb wavefunction four body      43
Coulomb wavefunction, $N$ body      43
Coulomb wavefunction, three body      42
Coulomb wavefunction, two body      40
Coupled channel equations      22 44 71
Coupled channel equations, for independent electrons      82
CPT invariance      150
Cross section      7
Cross section, differential      8
Cross section, exclusive      66
Cross section, first Born tables      52
Cross section, inclusive      66
Cross section, many electron      62
Cross section, ratio      126 136 138 166-8 205 207 218 231 234 237 240
Cross section, total      9
Cross section, uncorrelated      66
Degree of correlation $K$      123
Density functional      104 106
Density, charge      186
Density, electron      11 65 105 120 122 193
Density, electron, projectile electron      174 184-6
Density, probability      140 141
Dielectronic processes      130
Dipole approximation      73 230 235 237 239 240
Dipole approximation, validity      200
Dipole fraction      231
Dipole operator, acceleration form      201
Dipole operator, length form      200
Dipole operator, length, velocity and acceleration      205
Dipole operator, velocity form      200
Dirac — Fock      124
Dirac — Fock, time dependent      71
Dispersion relation, Kramers — Kronig      144 152 248
Dispersion relation, photon vs. electron      242
Distorted wave methods      44
DNA      121
Dynamic correlation      279; see Correlation dynamic
Effective charge      179
Effective charge, for one electron ions      102
Effective charge, projectile      102
Effective charge, projectile, reduction to point charge      184
Eigenstates      18
Eikonal method      44
Elastic scattering      21
Elastic scattering, factor      226
Elastic scattering, photon      227
Elastic term      178
Electron electron correlation      279; see Correlation
Electron electron interaction      58 279;
Electron exchange      68
Electron transfer      287; see Transfer
Electron, active      5 16 68 100
Electron, complexity      242
Electron, composition of      198
Electron, conscious      68
Electron, coupling to photon      200
Electron, multiple in semiconductors      220
Electron, on projectile      174
Electron, passive      5 68 100
Electron, separation from nuclear motion      59 75
Electron, superfluidity      220
Electron, two, on different centers      174
Electron-electron term      178
Electron-nucleus term      178
Electrons, two, in B field      223
Electrons, two, in strong EM field      225
Energy spectral distribution      236
Energy spectral distribution, normalized      231
Energy-conserving term      153
Energy-non-conserving term      153
Entangled states      124
entropy      117 122 124
Ericson fluctuation      119
Evolution operator      12 23 60 94
Evolution operator, correlated and uncorrelated      127
Evolution operator, generation of correlation      143
Evolution operator, independent electrons      95
Evolution operator, single particle      80
Evolution operator, uncorrelated      80
Exchange      68 81
Exchange symmetry      69
Exchange, correlation      69
Exchange, many electron      82
Exchange, Pauli blocking      82
Exchange, two electron system      81
Excitation      21
Excitation, $1s - 2p$      31 185
Excitation, $1s - 2s$      30 187
Excitation, arbitrary states      31
Excitation, by photons      235
Excitation, de-excitation      63 72
Excitation, double      169
Excitation, plus transfer      171
Excitation, single electron      48
Excitation, two electron      70
Excitation, with transfer      70
Exciton biexciton      220
Exclusive cross section      66
Exclusive Probability      4 6 66
Expansion parameters      226
Experiment beam-foil MEM analysis      118
Experiment, $N$ photon      220
Experiment, capture to the continuum      41
Experiment, chaos      119
Experiment, Compton scattering      219 240
Experiment, differential photon      219
Experiment, double ionization charged particle      166 241
Experiment, double ionization, differential      168
Experiment, double ionization, electron      168
Experiment, double ionization, photon      218-20 241
Experiment, electron impact      49
Experiment, excitation to $n = 2$ in H      50
Experiment, excitation transfer      171
Experiment, excitation-ionization      159
Experiment, excitation-transfer      172
Experiment, general data compilation      49
Experiment, ion-atom survey      48
Experiment, ionization transfer      170
Experiment, ionization transfer, Thomas peak      171
Experiment, ionization-excitation charged particle      170
Experiment, ions on H      49
Experiment, laser assisted atomic transitions      221
Experiment, molecule Coulomb explosion      103
Experiment, molecule, multiple ionization      168
Experiment, molecule, photon      218
Experiment, multiple excitation charged particle      169
Experiment, multiple ionization atoms      168
Experiment, multiple ionization, charged particle      86
Experiment, multiple ionization, comparison of binomial and SED      112
Experiment, multiple ionization, molecule      168
Experiment, multiple ionization, of ions      168
Experiment, multiple ionization, photon      218 219 240
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