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