Murrel J.N., Bosanac S.D. — Introduction to the Theory of Atomic and Molecular Collisions :: Электронная библиотека попечительского совета мехмата МГУ

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Murrel J.N., Bosanac S.D. — Introduction to the Theory of Atomic and Molecular Collisions

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Название: Introduction to the Theory of Atomic and Molecular Collisions

Авторы: Murrel J.N., Bosanac S.D.

Аннотация:

This introduction to the scattering theory of low energy (0.1 to 1.0 eV) atomic and molecular collisions provides a strong theoretical background, maintaining a balance between classical and quantum approaches. Addresses the four main branches of the subject — elastic, inelastic and reactive scattering, and electron excitation — all supported by computational techniques.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1989

Количество страниц: 208

Добавлена в каталог: 09.09.2008

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Предметный указатель

A priori distribution      139
Action integral      42 58 69
Action, classical      12 34 79 94 125 147
Action-angle variables      54 69
Activated complex theory      138
Activation energy      2
Adiabatic basis      61 114 134 153
Adiabatic perturbation theory      152
Airy function      43 71
Angular momentum, coupling      94 98 137 147
Ants method      161
Approximate solutions      100
Arthurs — Dalgarno formula      99
Asymptotic limit      (see Wave function)
Atom-atom potentials      23 35 48 144 148
Average      58
Average energy approximation      77 101
Avoided crossing      144 164
Basis functions      (see Adiabatic or diabatic basis)
Body-fixed axis system      94 102 147
Bohr theory      11
Boltzmann distribution      106 121
Born approximation      72 75 148
Born — Oppenheimer approximation      63 142 158
Canonical transformation      57
Canonical variables      6 57
Central field scattering      27
Central forces      19 31 123
Centrifugal barrier      27 36
Centrifugal potential      20 34 148
Centrifugal sudden approximation      101
Channel      66 131 167
Channel potential      67
Chemical reactions      2 108 122 138
Classical limit      10 49
Classical mechanics      16 54 115
Classical path method      151 158 160
Classical trajectories      (see Trajectories)
Classical turning point      22 34 42 96 155
Classically forbidden inelastic transitions      71 81
Clebsch — Gordon coefficients      97
Close coupling equations      63
Closed channels      66 169 181
Collinear collisions      17 50 64 109
Collision complex      127 132
Collision cross-section      (see Cross-section)
Collision energy      29 47
Collision orientational effects      121
Collision radius      28
Collisions, binary      1 13 126
Complex time      71 164
Conjugate variable      57
Continuity conditions      9 108
Continuum wave functions      32
Coordinates, centre of mass      12 126
Coriolis force      50 147
Coulomb potential      23
Coulomb scattering      30 35
Coupled channel equations      (see Multichannel equations)
Coupled state approximation      101
Cross-section      2 26 83 130
Cross-section (cont.) oscillations      39 46
Crossed beam experiment      1 13 126
Crossed beam molecule-fixed axis system      94
Curvilinear      113
Debye — Waller relation      175
Deflection angle      21
Deflection function      21 49
DELVES      114 133
Delves, hyperspherical      115 134
Delves, internal      61 109
Delves, laboratory      12 126
Delves, reactive collisions      108
Delves, skew      110
Delves, spherical polar      26
Delves, transformation      12 64 110
Demkov coupling      152
Density of states      139
Detector, resolution      5
Diabatic basis      61 65 134
Diabatic curve crossing      152
Diabatic potential      63 146
Differential      2 27 38 49 84 195 196
Diffraction      5 47 165
Diffraction channel      168
Distorted wave Born approximation      72 149
Effective impact parameter      80 186
Effective potential      20 34
Ehrenfest theorem      7
Elastic collisions      1 19
Elastic scattering      19
Electronic degeneracy      120 122
Electronic transitions      142
Energy conservation      16 117 140
Energy sudden approximation      101
Energy transfer      2 51 82 173
Exponential distorted wave approximation      91
Exponential energy gap law      75 105
Factorization      97
Fadeev equations      137
Feshbach resonance      132 171
Flux      9 26 38 84
Flux, conservation      10
Flux-velocity contour map      127
Forward scattering      31
Fourier expansion      166
Franck — Condon principle      151
Glory      25 28 47 48
Hamiltonian classical      6 55
Hamilton’s equations      6 54 160 183 188
Hard ellipsoid      84
Hard shape potential      80
Hard sphere collisions      22 35 52
harmonic oscillator      12 52 55 64
Harmonic oscillator, classical motion      52
Harmonic oscillator, eigenfunctions      65
Harmonic oscillator, transition probabilities      75
Harpooning      145
Heavy atom scattering      34
Heavy-light-heavy reactions      125
Helicity representation      100
Hund’s rules      147
Impact parameter      21 45 125
Impact parameter method      159
Inelastic scattering      1 15 50 69 79 181
Infinite order sudden (IOS) approximation      101
Information theory      106
Interference      5 11 31 38 45 71
Intermolecular potentials      1 65 95 98 122 129
Inversion problem      48
IOS approximation      103
Irregular solutions      73
Jacobian      84 173
Jost functions      66 74 95 149 181
JWKB approximation      12 41 69 103 155 176
JWKB approximation, connection formulae      42
K matrix      93
Kernel      73

kinetic energy      19 110
Kinetic energy coupling      63 153
Kinetic energy diagonalization      110
Landau — Zener approximation      151
Landau — Zener formula      157 161
Langer correction      44
Lattice constant      166
Laue representation      166
Least action theorem      12
Legendre functions      33 38 39 98
Lennard — Jones potential      29
Lennard-Jones-Devonshire potential      167
Levinson’s theorem      37
Liouville equations      160
Log-derivative method      184
Lorentzian function      154
Marcus natural coordinates      (see Natural coordinates)
Massey parameter      142
Metastable state      37
Moment of inertia      79
Momentum representation      71
Monte Carlo method      117
Morse potential      29
Multichannel equations      60 62 65
Multiple collisions      54 82
Natural coordinates      111 123 135
Newton diagram      14
Non-adiabatic processes      2 142
Numerical integration      17 54 116 183
Numerov formula      184
open channel      66 131 181
Optical theorem      49
Orbit      25
Partial wave expansion      33 38 149 179
Partition function      121 139
path integral      69
Path integral method      163
Perturbation theory      17 72 152
Perturbed symmetric resonance      152
Phase shift      35 44 49 89 92
Phase space      56
Phase, classical      11 12 71
Phonons      173
Plane wave      8
Potential energy barrier      123 131
Potential energy coupling      62 146
Potential energy functions      (see Intermolecular potentials)
Potential energy range      5
Power gap law      106
Pre-exponential factor      2
Prior distribution      139
probability density      6
Properties      90
Quantum      7 64 94 147
quantum mechanics      16
Quantum scattering      31 60 93 131
Quantum theory      131
Quasi-classical approach      59
R Matrix      92
Radial coupling      147
Radial wave functions      32 94 148
Rainbow      25 28 45 71 84 169
Random numbers      118
Rate constant      115 122 129
Reaction coordinate      139
Reaction cross-section      120
Reaction matrix, see R matrix reaction path      111
Reaction probability      117 135
Reactions, energy release      124
Reactive scattering      15 108
Reciprocal lattice vector      166 174
Regular solutions      34
Resonances      34 37 48 171 173
Rigid rotor      12 17 50 79
RKR-method      49
Rotational cross-sections      83
Rotational quantum number      79
Rotational rainbow      88
Rotational resonance      173
Rotational scattering quantum theory      93
RRKM theory      138
Runge — Kutta method      183
Rutherford scattering      23 30
Rydberg potential      29
S matrix      67 74 77 89 95 149 157 168 181
S matrix, classical      105
Scattering amplitude      33 38 44 89 97 149
Scattering angle      15 20 26 82
Scattering matrix      (see S matrix)
Schrodinger equation      7 17
Semi-classical limit      41 176
Semi-classical quantization      12 58
Semi-classical theory      11 16 41 69 176
Skew coordinates      110
Specular reflection      168
Specular reflection, Beeby’s formula      175
Spherical wave      32
Spin-orbit coupling      147
square well potential      30
Stationary phase approximation      40 45 48 103
Stationary states      6
Statistical theories      138 198
Stiff equations      116
Stueckelberg oscillations      152
Stueckelberg phase      156
Sudden approximations      77 171
Supernumary rainbow      47
Surface hopping model      159
Surface scattering      165
Surprisal      106 139 141
Surprisal, linear      141
Symmetric top molecules      121 127
Symmetry      137 169
T matrix      92
Time dependent      7
Time reversal      91
torque      79
Trajectories      6 11 19 54 69 115 169
Trajectories, initial conditions      118 188
Transition matrix      (see T matrix)
Transition probabilities      67 71
Transition state      139
Triple angle correlation function      126
Tully — Preston model      (see Surface hopping model)
tunnelling      44 48 137 164
Two-dimensional model      84
Uncertainty principle      6 31
Uniform approximation      41
Unimolecular reactions      138
Van der Waals’ interaction      24
Variational transition state theory      138
Wave functions asymptotic limits      33 89 96 132 149 168
Wave packet      6
Wave packet, Gaussian      7
Wave packet, time evolution      7
Wave vector      7
Wave-particle duality      3
Wavelength, de Broglie      5
Wigner transition state      139

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