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Richards P.I. — Manual of Mathematical Physics
Richards P.I. — Manual of Mathematical Physics



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Название: Manual of Mathematical Physics

Автор: Richards P.I.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1959

Количество страниц: 496

Добавлена в каталог: 24.11.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Continuity, equation of (mechanics)      13 228 372
Continuous media, mechanics of      12—28
Continuous media, mechanics of, relativistic      118 122
Continuous spectrum      135 411
Contour integration      319
Contraction (of a tensor)      440
Contragredient (contravariant)      438 443
Contravariant (components of a vector)      438 443
Convergence, in mean      408 412
Convergence, of power series      316
Convergence, semi (asymptotic)      282
Convergence, uniform      316
Convolution (integral)      323
Convolution transforms      332
Convolution transforms, connection with other integral transforms      334
Convolution transforms, formal inverse      332 333
Convolution transforms, three-dimensional      333
Convolution transforms, with “displacement kernel”      333
Coordinates, co-moving      13 25 114 118
Coordinates, curvelinear      298 436—442
Coordinates, Lagrange      25
Coordinates, linear, non-orthogonal      298
Coordinates, moving      4 294 442
Coordinates, normal      11 166 170
Coordinates, rotations of      292
Coordinates, symmetry-adapted      168
Coriolis forces      4
Correlation, coefficient      424
Correlation, functions      105 328 353
Correspondence principle      1 126
Cosmological constant      121 123
Cosmology      122—123
Coulomb gauge      67
Coulomb law      62
Coulomb potential (quantum theory)      155
Coulomb scattering      156
Countable infinity      384
Coupling schemes (atomic theory)      160
Covalent bond (chemical)      130 161
Covariance, principle of (relativity)      120
Covariance, statistical      424
Covariant components (of a vector)      438 443
Covariant derivative      440—441
Cramer’s Rule      303
Creation, of pairs      181
Creation, of pairs, operator      178 184
Creation, of pairs, virtual      145 185
Critical point (of a gas)      41
Cross sections, Coulomb scattering      156
Cross sections, definition      144
Cross sections, for inverse processes      148
Cross sections, ionization      183
Cross sections, kinetic theory      230
Cross sections, pair-production      181
Cross sections, particle scattering (general formalism)      144—149
Cross sections, photoelectric      179
Cross sections, positron annihilation      183
Cross sections, radiation      144 183
Cross sections, scattering (electromagnetic)      71
Cross sections, Thomson      71 180
Cross sections, transport      230 375
Cross sections, transport, for Coulomb forces      234
Cross sections, transport, for Lennard — Jones potential      231
Cross sections, transport, for rigid spheres      231
Cross, linking (of polymers)      195
Cross, product (vector)      290 291 300
Cross, sections, annihilation      183
Cross, sections, antenna      72
Cross, sections, bremsstrahlung      182
Cross, sections, coherent and incoherent      148
Cross, sections, Compton scattering      181
Cross, sections, conversion to or from center-of-mass      146 465
Crout’s method (matrix inversion)      307
Crystalline state      see Solids
Cubic equation, roots of      253
Curie, law (ferromagnetism)      220
Curie, principle (irreversible thermodynamics)      54
Curie, temperature      220
Curl (of a vector)      295 300 442
Curl (of a vector), in curvelinear coordinates      298 442
Curl (of a vector), physical meaning      297
Curl (of a vector), portion of a vector field      297
Curl (of a vector), surface integral of      297
Current, density (electric), conventional vs “true”      62
Current, generator      96
Curvature, Gaussian      444
Curvature, geodesic      442
Curvature, principal      29
Curvature, radius of      265 293
Curvature, tensor (Riemann — Christoffel)      443 446
Curvature, vector (of a curve)      293
Curve-fitting      256—257
Curves, differential properties      293
Cyclic engine      33
Cylindrical waves      70
Dalton’s law of partial pressures      47 187
Davisson — Germer effect      130
De Broglie matter waves      129
De Laval nozzle      26
Debye equation of state      215
Debye frequency      215
Debye length      221 234
Debye specific heat      216
Debye spectrum      215
Debye temperature      215
Debye theory of electrolytes      221
Defects in solids      192 218 240
Deflection of light (gravitational)      120 122
Deformation tensor      17
Degeneracy (of eigenvalues)      136 154 156 456
Degeneracy (of eigenvalues), accidental      156 456
Degeneracy (of eigenvalues), normal      154
Degenerate gas, Bose — Einstein      204
Degenerate gas, Fermi — Dirac      204
Degrees of freedom, of a molecule      40 202
Degrees of freedom, of chemical systems      45
Delta function      278—281
Delta, Kronecker      301
Density fluctuations      223
Density, matrix      200
Density, tensor      444
Density, vector      445
Density-of-states      145
Denumerably infinite      384
Derivative      see Differentiation
Descartes’ Rule of Signs      254
Detailed balance      140 148 195 227
Determinant, cofactors of      302
Determinant, computation of      302 307 308
Determinant, conditions for vanishing of      302
Determinant, definition      301
Determinant, differentiation of      302
Determinant, Jacobian      266 437
Determinant, multiplication of      303
Determinant, of a dyadic      300
Determinant, Wronskian      339
Determinants and matrices      301—312 396—401 403-406
Developable surface, differential equation for      372
Diagonalization (of a matrix)      399 401
Diamagnetism      209
Diatomic molecules, entropy of      40 207—208
Diatomic molecules, rotation and vibration energies      155
Diatomic molecules, selection rules for      163
dielectric constant      64
Dielectric constant, for gases and liquids      210
Dielectric constant, tensor      73 75 237
Difference equations      353
Differentiable function      315
Differential equations (ordinary)      335—352
Differential equations (ordinary), Bernoulli      342
Differential equations (ordinary), Clairaut      342
Differential equations (ordinary), equi-dimensional      335
Differential equations (ordinary), first-order      335—338 341—346
Differential equations (ordinary), generally-applicable methods      335—338
Differential equations (ordinary), Legendre transformation of      337
Differential equations (ordinary), Lie groups and      337 342
Differential equations (ordinary), linear      335—341 346—352
Differential equations (ordinary), linear, stability of      341
Differential equations (ordinary), linear, with constant coefficients      340
Differential equations (ordinary), matrix of      344—346
Differential equations (ordinary), numerical solution of      338 343 344 351
Differential equations (ordinary), reduction to a set of first-order      338
Differential equations (ordinary), Riccati      342
Differential equations (ordinary), second-order, linear      335—338 346—352
Differential equations (ordinary), second-order, linear, invariant function of      347
Differential equations (ordinary), second-order, linear, table of solutions      349—350
Differential equations (ordinary), singular solutions      341
Differential equations (ordinary), systems of      344—346
Differential equations (ordinary), vector      344—346
Differential equations (ordinary), “solution by differentiation”      343
Differential equations (partial)      354—373
Differential equations (partial), first-order, linear      354
Differential equations (partial), first-order, non-linear      355—357
Differential equations (partial), first-order, non-linear, “complete integral” of      355
Differential equations (partial), first-order, systems      357—359
Differential equations (partial), linear, order $>two$      368—372
Differential equations (partial), non-linear, order $>two$      372—373
Differential equations (partial), numerical solution of      371
Differential equations (partial), wave-diffusion equation      359—368
Differential equations (partial), wave-diffusion equation, diffusion equation      367
Differential equations (partial), wave-diffusion equation, Laplace’s equation      364—365
Differential equations (partial), wave-diffusion equation, Poisson’s equation      364
Differential equations (partial), wave-diffusion equation, wave equation      365—367
Differentiation      265—267
Differentiation in moving coordinates      294
Differentiation of a function of a complex variable      315
Differentiation of determinants      302
Differentiation of integrals      267
Differentiation of inverse matrix      304
Differentiation of matrices      304
Differentiation of vectors (ordinary)      292
Differentiation of vectors (partial)      295
Differentiation, covariant      440—441
Differentiation, variational      389
Diffusion coefficient, in gases, statistical theory      231
Diffusion coefficient, in liquids      250
Diffusion coefficient, in plasmas      234
Diffusion coefficient, in solids      240 248
Diffusion coefficient, kinetic theory      188
Diffusion equation      188 367
Diffusion, of neutrons      374—377 431—433
Diffusion, of radiation      189 374—377 431—433
Diffusion, thermal (of gases)      58 231
Diffusion-velocity      228
Dilational waves      19
Dimensionally invariant differential equations      335
Dimer      162
Dipole moment      63 70
Dipole moment in quantum mechanics      127 139 173 185
Dipole, radiation      70 139
Dipole, scattering      71
Dirac, delta function      279
Dirac, electron theory      171—176
Dirac, matrices      172
Dirac, matrix notation      137
Dirac, positron theory      174
Dirac, wave equation      171
Dirac, wave equation, Lorentz invariance of      175
Dirac, wave equation, non-relativistic limit of      173
Dirac, wave equation, tensor properties of      176
Direct product of groups      451
Direct product of matrices      312
Direct product of representations      454
Dirichlet’s integral      272
Dislocations      192
Dispersion relations      68 100 330
Dispersion relations for rational functions      101
Displacement, currents      83
Displacement, kernel      333
Dissipation function      12
Dissipation-fluctuation theorem      224
Dissipative systems (mechanics)      12
Distribution function      423
Distribution function, angular vs energy      146
Distribution function, Boltzmann      196 202
Distribution function, Gaussian      425
Distribution function, Maxwell — Boltzmann      202
Distribution function, radial      214 249
Distribution function, triplet      214 249
Distribution law (Boltzmann)      196
Distributions, Schwartz theory of      280—281
Divergence (of a vector)      295
Divergence (of a vector), in arbitrary coordinates      442
Divergence (of a vector), in curvelinear orthogonal coordinates      298
Divergence (of a vector), of a dyadic      299
Divergence (of a vector), physical meaning of      297
Divergence (of a vector), portion of a vector field      297
Divergence (of a vector), volume integral of      296
Domains (ferromagnetic)      220
Dominant wavelength (colorimetry)      82
Donor level (solids)      192 246
Doppler broadening (of spectral lines)      143
Doppler effect (relativistic)      115
Drag forces      23
Drag forces, cylinder      22
Drag forces, in low-density gases      190
Drag forces, plate      24 190
Drag forces, sphere      22
Dufour effect      59
Dulong and Petit’s law      216
Dushman (Richardson) equation      206
Dyadics      299—300
effective mass      152
Efficiency, thermodynamic      33
Ehrenfest’s equations      52
Eigenvalue problems (functional)      407—418
Eigenvalue problems (functional), distribution of eigenvalues in      408 411
Eigenvalue problems (functional), general formalism      412—418
Eigenvalue problems (functional), general formalism, for symmetric operators      413—418
Eigenvalue problems (functional), second-order, differential      407—411
Eigenvalue problems (functional), second-order, differential, lower bounds in      408
Eigenvalue problems (functional), second-order, differential, variational methods for      410
Eigenvalues      398 407 413
Eigenvalues, for second-order differential operators      407—411
Eigenvalues, for second-order differential operators, distribution of      408
Eigenvalues, for second-order differential operators, variational methods for      410
Eigenvalues, in quantum mechanics      131
Eigenvalues, of a matrix      398—400
Eigenvalues, of a matrix, bounds for      404
Eigenvalues, of a matrix, practical calculation of      405
Eigenvalues, of an operator      407 412—420
Eigenvectors, of a matrix      398
Eigenvectors, of a matrix, numerical computation      404—406
Eigenvectors, of an operator      412—420
Einschliessungssatz      411 415
Einstein, emission and absorption coefficients      139 140
Einstein, gravitational field equation      121
Einstein, mobility-diffusivity relation      189
Elastic constants      17 18 37 43 191 215
Elastic medium      17
Elastic medium, isotropic      18
Elastic medium, mechanics of      19
Elastic moduli      17 18 37 43 191 215
Elasticity, static      19
Electric, cells, thermodynamics of      43
Electric, charge density, conventional vs true      63
Electric, circuit theory      83—104
Electric, circuit theory, analysis      91—96
Electric, circuit theory, fundamental relations of      91
Electric, circuit theory, synthesis      98—100
1 2 3 4 5 6 7 8
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