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Mercier A. — Analytical and canonical formalism in physics
Mercier A. — Analytical and canonical formalism in physics

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Название: Analytical and canonical formalism in physics

Автор: Mercier A.

Аннотация:

This graduate-level text presents a single-volume study of the principles behind several branches and their interrelationships. Compact but far-reaching, it is arranged according to formalisms, starting with a detailed consideration of the Lagrangian variety. Other topics include canonical formalism; canonical form of electrodynamics; Hamiltonian densities; transformations; and more. 1959 edition.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1963

Количество страниц: 222

Добавлена в каталог: 19.10.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\chi$-space (or $\chi$-space)      136
$\delta$-function      52 70ff 71 72 74 135 136 140
$\Gamma$-space      193ff
$\mathcal{G}$-density      52 80 91 95 147 163
$\psi$-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
1 2 3
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