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| Mercier A. — Analytical and canonical formalism in physics |
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| Предметный указатель |
Schwisger 78
Separated Hamiltonian 101
Separation 26 28 49 50
Series (power) 50
Signature 54 55 69
Significance (physical) 84
Singularization of one coordinate 165 183 186
Singularization of time 144 165 176
Source of the electric field 88
Source of the field 70
Source, point 52 70 71
Space 53 84
Space time 37 38 52 53 54 55 57 61 66 67 69 78 127
Space,  - (or -) 136
Space,  - 193
Space, Cartesian 124
Space, configuration 2 4 5 10 15 18 20 25 27 33 50 73 76 77 97 105 132
Space, domain of, -time 59
Space, Euclidean 33 104
Space, momentum 7 97 105 132
Space, Newtonian 2 3 5 15 53 56 60 87
Space, phase 97 104 113 117
Space, pseudo-Euclidean 37
Space, pseudo-phase 202ff
Space, sub 58 202
Space, super-phase 202ff
Space, velocity 7 105
Space, whole 71
Spinor 52 61ff 63 64 66 67 72
Spinor field 72 144 161
Spinor, complex-conjugate 66
Spinor, Hermitian-conjugate 66
Spinor, measure of a 66 67
Spinor, self-adjoint 66 67 72
Spinor, simple 63
Spinor, transposed 162
Spiral 3 117
Spring 28 29
Stream density 158
Stream, electric, density 88 96
Stream, energy 158
Stream, phase 198
Stress, elastic 85
Stress, field 85
Stress, Maxwell’s, tensor 85 92
Strong equation 199 202ff
Strong Hamiltonian 199 204ff
Strong reflexion 189
Substitution, C 186
Substitution, P 186 187
Substitution, T 186 187
Symmetry 52 58 61 81 82 84
Symmetry of tensors 82
Symmetry, skew 82 87
system 1ff 61
System, aperiodic 117
System, conservative 9 20ff 39 81 97 114 115 121
System, elastic 9 43 49
System, enclosed 117
System, ergodic 116
System, Galilean 53
System, non-conservative 9 47
System, quasi-elastic 50
System, quasi-ergodic 117
System, self-constrained 117
T-substitution 187
Tensor 35 36 60 61 69 70 86 86 88
Tensor calculus 9 27 34 60 80
Tensor capacity 86
Tensor component 87
Tensor density 80 85 86 87 88 91
Tensor, skew-symmetrical 61 87
Theorem, CPT 88 165 177ff 186ff
Theorem, energy (conservation) 90 92
Theorem, Euler’s, of homogeneous functions 184 208
Theorem, Gauss’ 85 87 112 155
Theorem, general Liouville’s 165 197
Theorem, Liouville’s 97 110ff 113 165 192fF 197
Theorem, momentum (conservation) 90 92
Theorem, Poincare’s 97 117 118
Time 1 5 9 32 40 48 53 54 55 68 78 84 97 114 118 125
| Time axis 59
Time coordinate 61
Time, displacement in 21ff
Time, independent 53
Time, infinite 116
Time, period of 115
Time, proper 53 69 83 87 127 128
Time, singularization of 144 105 176
torque 46
Trajectory 61
Trajectory, closed 115 116
Trajectory, configuration 106
Trajectory, mechanical 2 4 9 10 11 15 33 55 105
Trajectory, momentum 7 106
Trajectory, phase 105 106 111 113 114 115 193
Trajectory, varied 10 11
Transformation 8 27 33 60 56 58 60 61 92 113 128 165ff
Transformation of Clifford numbers 67
Transformation of spinore 63 67
Transformation, canonical 105 165ff 166 192ff 196
Transformation, coordinate 89
Transformation, field 93 95
Transformation, GaliJean 53 54
Transformation, homogeneous canonical 165 189ff
Transformation, infinitesimal canonical 197
Transformation, inhomogeneous canonical 165 192
Transformation, inverse 166
Transformation, linear 2 35 53 104
Transformation, linear point 25
Transformation, Lorentz 52 53 54 55 61 81
Transformation, point 27 34 48 53
Translation 9 19 20
Uncertainty relation 132
VACUUM 90
Vacuum electrodynamics 91 93
Vacuum field 89
Vacuum, electromagnetic field of the 126
Variables 8
Variables, angular (or cyclic) 173
Variables, cyclic 165 172 173
Variables, dynamical 1 6ff
Variables, geometrical 2 6 10 23 40
Variables, independent 1 54 55 59
Variables, separation 48
Variation 19 76 203
Variation principle 12 32 75 76 78 97 107 110 166
Variation principle in phase space 97
Variation, calculus of 12
Variation, homogeneous, principle J. 84 190
Vector 64 81 89 127
Vector analysis 85
Vector density 84 89 96
Vector field 61 70 79 83 84 89
Vector potential 31 47 124 126 132
Vector, axial 87
Vector, complex, field 70 148
Vector, induction 88
Vector, isotropic 61 63 64 66
Vector, polar 87
Vector, position 5 18 19 40 41 71 73 70
Vector, Poynting, density 92
Vector, real, field 70
Vector, space-time 127
Velocity 2 6 9 30 46 47 53 54 88 119
Velocity of light 31 38 47 53 54 124
Velocity space 7 105
Velocity, angular 2 6 16
Velocity, generalized 2 7
Wave equation 90
Wave packet 126 140
Wave vector 135
Wave, de Broglie, of a free particle 137
Wave, monochromatic plane 137
Waves, orthonormalization of the 126
Weak equation 109 202ff
Weak Hamiltonian 199 204ff
Weak reflexion 188
Weight 113
Work 40
World line 55 127 128
World regions 70
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