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| Mercier A. — Analytical and canonical formalism in physics |
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| Предметный указатель |
 -space (or -space) 136
 -function 52 70ff 71 72 74 135 136 140
 -space 193ff
 -density 52 80 91 95 147 163
 -function 210
Acceleration 42 43 44 45
Acceleration, centrifugal 63
Acceleration, Coriolis 53
Accessory condition 166 179 186 209 210
action 9 11 12 62 55 59 60 69 94
Action functional 62 74 75 77 78
Agglomeration, phase 113
Amplitude 26 95
Angular variables (cp. cyclic) 173
Approximation, Newtonian 37 39
Approximation, non relativistic, of Hamiltonian 126
Approximation, prerelativistic 52 70
Approximation, quasi-elastic 50 51
Asymptotic behaviour 115
Biot 47
Birkhoff 117
body 3 6 7 8
Body, deformable 3
Bohr 143
Boltzmann 117
Bracket 122 167
Bracket equation 97 144 156ff 206
Bracket, Poisson 97 102 103 113 169 174
Bracket, Poisson, operator 102
C-substitution 186
Canonical conjugation 97 98
Canonical equations 97 98 99 101 103 104 107 109 113 114 118 119 123 124 128 144 151 153 154 157 160 164 166 179 192 199 203 205 206
Canonical form of electrodynamics 126ff 128
Canonical formalism 166
Canonical invariance 165 194
Canonical picture 97 101
Canonical, homogeneous, formalism 131ff 165 189ff
Canonical, homogeneous, transformation 165 189ff
Canonical, infinitesimal, transformation 165 197
Canonical, inhomogeneous, transformation 165 192
Canonical, standard, equation 97 102 207
Canonical, transformation 105 165ff 166 192 196
Capacity 52 85ff
Capacity, pseudo-scalar 86
Capacity, tensor 86
Cartan 66
Characteristic function 173
Charge (electric) 3 31 47 51 88 89 90 96 124 127 128
Charge (electric) conservation 90 92 93 188
Charge (electric) density 88
Charge (electric) motion 126 127
Christoffel symbol 9 32 34 37
Clifford matrix 162
Clifford numbers 52 64 67 72 89 169
clock 57 58
Commutability 76
Complementarity, Bohr’s 132
Complementarity, relativistic 126 132
Condition, accessory 165 179 186 209 210
Condition, determinant 45
Condition, inhomogeneous 190 191
Condition, initial 16 25 45 49 95 97 100 110 113 115 116 117
Condition, limit 10 33 77 95
Condition, Lorentz 89 91
Cone 62 63
Cone, imaginary 62
Configuration 122 123
Configuration point 50
Configuration space 2 4 5 10 15 18 20 25 27 33 50 97 105 132
Configuration trajectory 106
Configuration, homogeneous, space 185
Conjugate momenta 145
Conjugate, Hermifcian 161
Conservation, charge 90 92 93 188
Conservation, energy 85 144 158
Conservation, momentum 144 159
Constant of motion 15 115
Constant, elastic 28
Constant, influence 88
Constant, magnetic influence 88
Constant, phase 25 26
Continuity equation 52 90 96 158ff 198
Contraction 60
Contraction of length 52 66 67
Contravariant 36 36 66 60 69 87
Contravariant tensor 35
coordinates 1 12 17 36 39 63 81 113 117
Coordinates transformation 89
Coordinates, afftne 16
Coordinates, Cartesian 1ff 18 30 33 38 63 106 118
Coordinates, continuum of 1 6
Coordinates, generalized 1
Coordinates, Newtonian 6 64
Coordinates, normal 26 29
Coordinates, polar 18 44
Coordinates, separation 28
Coulomb force 47
Coulomb’s attraction 3
Coupling 47 163
Covariant 36 36 55 60 69 86
Covariant tensor 36
Covariant vector 36 127
CPT-theorem 88 165 177ff 186ff
Curl 70 89 90 93
Cyclic variables 165 172 173
de Broglie wave of a free particle 137
Decomposition (discrete) of the waves 126
density 52 58 60 61 71 76 78 86ff 88
Density function 167
Density, electric charge 88
Density, electric stream 88
Density, energy-momentum 91
Density, field-Hamiltonian 147
Density, four-dimensional 60
Density, general Hamiltonian 144 151 153 154ff
Density, Hamiltonian 144 147ff 162
Density, invariant Lagrangian 52 68
Density, Lagrangian 62 58 59 68 69 70 70 77 81 82 90 93 94 96 144 145 148 161
Density, momentum 85 159
Density, ordinary Hamiltonian 144 154ff
Density, preservative 68
Density, pseudo-scalar 61
Density, scalar 93
Density, ST 52 80 91 96 147 163
Density, symmetric 82 84 91
Density, tensorial 80 85 86 87 88 93
Density, vector 84 89 96
Density, volume 56
Derivative of the field 59 70
Derivative of the Lagrangian 77
Derivative, coordinate 52 79
Derivative, functional 52 73ff 74
Derivative, parametric 62 74 128
Derivative, partial 69
Derivative, partial-partial 79
Derivative, time 113 127
Derivative, total-partial 59 79 84
Derivative, variational 52 73ff 74 164 155
Determinant 34 35 45 86 86 199ff
Dilatation 60
Dilatation of time interval 52 66 57
Dirac 71 72 199 210
Dirac’s equation 164
Dirac’s theory 199 202ff
distribution 72
Divergence operator 87
Divergence, great 80 88
Divergence, small 84 88 90 96
Domain 60 73 85
Domain of space-time 59
| Domain of the energy-surface 116
Duality 102
Dynamics, analytical 1 8 12
Dynamics, classical 95 102
Dynamics, Newtonian 101
Dynamics, quantum 102
d’Alembert’s equation 90
Einstein 3 39 53 54
Elasticity 6 61
Elasticity theory 82 86
Electrodynamics 3 23 30ff 43 47 86 01 116 125 131 182 183
Electrodynamics, canonical form of 126ff
Electrodynamics, classical relativistic 89
Electrodynamics, field 201
Electrodynamics, quantum 126 143
Electrodynamics, relativistic field 201
Electrodynamics, vacuum 91 93
Electron 163
ellipse 3
Energy 21 54 115 118 121
Energy density 84 85
Energy integral 9 20 49 97 121
Energy momentum tensor (density) 91 160
Energy stream 158ff
Energy surface 115 116 117 118
Energy, conservation of 86
Energy, electromagnetic, density 92
Energy, kinetic 15 16 18 22 23 27 28 39 40 41 50 68 72 97 115 118 120 122 123 201
Energy, mechanical 3
Energy, mixed 122 123
Energy, potential 16 23 27 39 40 50 97 115 120 122 123
Energy, relativistic 131
Energy, total 23
Ensemble 117
Ensemble of points 193
Ensembles, theory of 117
Equation, bracket 97 104 144 156ff 206
Equation, canonical 97 98 99 101 103 104 107 109 113 114 118 119 123 124 128 144 161 163 164 157 160 164 166 179 192 199 203 206 206
Equation, continuity 52 90 96 168ff 198
Equation, Dirac’s 164
Equation, dynamical 9 13 14 19
Equation, Euler — Lagrange 75 109 110 184
Equation, Eulorian 107
Equation, field 69 78 90 94 96 96
Equation, fundamental 7
Equation, Hamilton — Jacobi 165 172ff
Equation, harmonic 134
Equation, Klein — Gordon 160
Equation, Lagrange (Lagrangian) 9 12 14 16 17 19 20 21 24 27 28 31 32 34 41 42 46 48 52 83 109 128 206
Equation, Maxwell’s 89 90 126
Equation, Newton — Lorentz 128
Equation, Newtonian 42
Equation, Schredinger’s 210
Equation, standard canonical 97 102 207
Equation, strong 199 202ff
Equation, wave 90 134
Equation, weak 199 202ff
Equilibrium 24 28
Equilibrium configuration 9 60
Ergodic problem 97 114
Ergodic system 116 117
Ergodioity 97 116
Ergodioity, quasi 97 117
Euler 6 13 23
Euler — Lagrange equations 75 109 110 184
Eulerian equation 107
Euler’s theorem of homogeneous functions 184 208
Event 63 54
External field 162 163
Feynmann 78
Field V 5 9 18 39 47 52 54 61 73ff 75 89 126 163
Field component 59 61 69 70 76 79 80 95
Field derivative 52 59 70 72 79
Field electrodynamics 201
Field equation 59 78 79 81 90 93 94 95 96
Field Hamiltonian density 147
Field Lagrangian 52 74 76
Field of gravitation 39
Field stress 85
Field theory 5
Field transformation 93 96
Field variables 52 58 59
Field, complex 52 69 70 73 84 95
Field, complex-conjugate 69 83
Field, complex-scalar 144 160ff
Field, complex-vectorial 148
Field, conservative 158
Field, electric 31 87 88 124
Field, electromagnetic 30ff 52 87 90 124 126
Field, electromagnetic, of the vacuum 126 132
Field, external 162 163
Field, oscfflator 52 68 69 70 79 83 84 90 94 147
Field, potential 89
Field, preservative 52 81 82 85 90 144 168
Field, quantized, theory 6 78
Field, real 95
Field, real-scalar 144 159ff
Field, relativistic 52 58 83
Field, relativistic, electrodynamics 201
Field, scalar 52 61 68 69 79 83 84 95
Field, spinor 72 144 161ff
Field, tensor 61 90
Field, vacuum 89
Field, vector 61 70 79 83 84 89 90
Field, weak 94
First integral 17 18 20 49 97 118 119 120 121 129
Fluid 5
Fluid, incompressible, picture 112
force 45 46 47 122
Force, applied 24
Force, centripetal 45 47
Force, conservative 39
Force, Coriolis 45
Force, generalized 40 46
Force, inertial 24
Force, internal 117
Force, Lorentz 31 45 88
Force, magnetic 31 115
Force, resultant 45
Force, self 43 44
Force, static 38
Form, fundamental 33
Form, Lagrangian 126 128
Form, linear 9 30 44
Form, positive definite quadratic 32 123
Form, quadratic 23 32 34 35 44 54 55
Formalism V 8
Formalism, canonical 8
Formalism, classical 5
Formalism, homogeneous 126 172 177 178ff 200
Formalism, homogeneous canonical 131ff 207ff
Formalism, inhomogeneous 172 17
Formalism, Lagrangian 9ff 27
Fourier analysis 126 133
Fourier’s theorem 132
Free motion 106 112
Frequency (circular) 26
Friction 45
Frontier 85
Functional 52 55 56 73ff 83 156
Functional, action 52 74 75 77 78
Functional, Hamiltonian 144 146
Functional, Lagrangian 60 153
future 55
Gauge in variance 52 89 92ff 95 96
Gauss 2
Gauss, theorem 85 87 112 155
Generating function of a transformation 168
Geodesic 9 33 34 37 39
Gradient 24 31 68 73 89
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