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| Morse P.M. — Methods of theoretical physics |
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| Предметный указатель |
Curvilinear coordinates, transverse and longitudinal waves in 1840 (see also Orthogonal coordinates)
Curvilinear coordinates, transverse components of vector field in 1764
Cutoff frequency 1442
Cyclides, confocal, and separation of variables 519
Cylinders, and line source 1189
Cylinders, concentric, field in 1183
Cylinders, conducting, scattering by 1863
Cylinders, elliptic, in uniform field 1199
Cylinders, in electrostatic field 1184
Cylinders, potential between two 1210
Cylinders, scattering by 1376 1862
Cylinders, with slit 1387 1392
Cylindrical Bessel functions see Bessel functions
Cylindrical coordinates and separation of variables 514
Dalitz integral 1083
Definite kernel 909 910 992
Definite kernel, transformation to 910
Deflection admittance 1367
Deformation of contours 366
Degeneracy 79 725 1476 1673
Degeneracy, and Stark effect 1676
Degeneracy, and variational principle 737
DEL 7 31—44
Del, table of relations 114—115
Delta function, Dirac 122 240 813
Delta function, Dirac, and normalization of eigenfunctions 764
Delta function, Dirac, derivative of 837 839
Delta function, Dirac, expansion in eigenfunctions 719 729
Delta function, Dirac, in generalized coordinates 830
Delta function, Dirac, in polar coordinates 825
Delta function, Kronecker 23
Density function for eigenfunctions 728 781
Density function for eigenfunctions, for Gegenbauer polynomials 782
Density function for eigenfunctions, for Hermite polynomials 786
Density function for eigenfunctions, for Laguerre polynomials 784
Density function for eigenfunctions, for Legendre functions, associated 782
Density function for eigenfunctions, for Tschebyscheff polynomials 782
Density, Lagrange see Lagrange density
Density, of eigenvalues 759—762
Density, of eigenvalues, continuous distribution 762
Density, of eigenvalues, for Schroedinger equation 767—768
Density, particle 1614
Derivatives of analytic function 374
Derivatives of analytic function, and Cauchy’s integral formula 375
Determinant, secular see Secular determinant
Diagonal kernels 951 961
Diagonal matrix 777
dielectric constant 201
Dielectric constant, boundary conditions on surface of 217
Difference equations, and recursion formulas 540
Difference equations, first-order linear 693
Difference equations, for hyperbolic equation 703
Difference equations, for Laplace equation 695
Difference equations, for parabolic equation 705 778
Difference equations, for Poisson equation 695
Difference equations, Green’s function for see Green’s function
Differential equations, ordinary 492—675
Differential equations, ordinary, adjoint 526 871
Differential equations, ordinary, and integral equations 945
Differential equations, ordinary, and integral representations 574 577—646
Differential equations, ordinary, and recursion relations 539 568
Differential equations, ordinary, Bessel 553 619 1321
Differential equations, ordinary, Bessel, spherical 622 1465 1477
Differential equations, ordinary, classification of 534
Differential equations, ordinary, confluent hypergeometric functions 551 604
Differential equations, ordinary, coulomb 550 553 631 1664
Differential equations, ordinary, functional series and 570—577
Differential equations, ordinary, Gegenbauer 547 600 782
Differential equations, ordinary, homogeneous 493
Differential equations, ordinary, hypergeometric 542 588 668
Differential equations, ordinary, independent solutions for 524
Differential equations, ordinary, indicial equation and 532
Differential equations, ordinary, inhomogeneous 529
Differential equations, ordinary, Legendre 545 594 1325
Differential equations, ordinary, linear 492
Differential equations, ordinary, ordinary point of 530
Differential equations, ordinary, Papperitz 539
Differential equations, ordinary, partial see Partial differential equations
Differential equations, ordinary, singular point of 516
Differential equations, ordinary, singular point of, regular 532
Differential equations, ordinary, standard forms of 534 667
Differential equations, ordinary, table 667
Differential equations, ordinary, Wronskian 524
Differential scattering cross section 1066 1706
Diffraction, Fraunhofer 887
Diffraction, Fraunhofer, by hole in infinite plane 1520
Diffraction, Fraunhofer, by knife edge 1386 1406
Diffraction, Fraunhofer, by knife edge, integral equation for 900
Diffraction, Fraunhofer, by slit 1430
Diffraction, Fraunhofer, perturbation methods for 1073 1106
Diffuse emission 1618
Diffuse emission, and Laplace transform 1624
Diffuse reflection 1619
Diffusion 171—200 1584—1606
Diffusion equation 137 171 200 1584 160 5
Diffusion equation, and age equation 1600
Diffusion equation, and parabolic equations 173
Diffusion equation, for nonuniform scattering 189
Diffusion equation, for nonuniform scattering, Green’s function for 191
Diffusion equation, for particles 1592—1604
Diffusion equation, Green’s function for see Green’s function
Diffusion equation, image method 862 1588
Diffusion equation, inhomogeneous equation 859
Diffusion equation, Lagrange density for 313
Diffusion equation, reciprocity principle for 858
Diffusion equation, variational principle for 313 314
Diffusion equation, vector 163 1812
Diffusion, and age 1599
Diffusion, and conformal mapping 1218
Diffusion, and continuity equation 172
Diffusion, and distribution function 174
Diffusion, and external forces 194
Diffusion, and fission 1595—1604
Diffusion, and transient heating 1585
Diffusion, constant of 173
Diffusion, of fluids 173 (see also Distribution functions)
Diffusion, of heat 173 1585—1592 1604—1606
Diffusion, of light 180
Diffusion, of liquids through porous solids 172
Diffusion, of neutrons see Neutron diffusion
Diffusion, of particles see Particle diffusion
Dilation 68
Dilationless stretch 69
Dipoles 1276
Dipoles, electric, induced 1886
Dipoles, electric, induced, and induced currents 1887
Dipoles, electric, induced, radiation from 1868 1878 1880
Dipoles, function, dyadic 1886
Dipoles, magnetic, induced 1886
Dipoles, magnetic, induced, and induced currents 1887
Dipoles, magnetic, induced, radiation from 1868 1879 1880
Dipoles, source 1479
Dirac delta function see Delta function
Dirac equation 260—265 335—337
Dirac equation, and spin operators 259
Dirac equation, angular momentum, total 263
Dirac equation, charge and current density 261 337
Dirac equation, energy density 336
Dirac equation, Euler equation 336
Dirac equation, field intensity 336
Dirac equation, field momentum density 336
Dirac equation, Lagrange density 335
Dirac equation, plane-wave solution 264
Dirac equation, stress-energy tensor 336
Dirac equation, table 346
Dirac equation, under Lorentz transformation 262
Direction cosines 22
Directional derivative 32
Directional derivative, in tensor notation 51
Dirichlet boundary conditions 495 679 706 807 875
| Dirichlet boundary conditions, and boundary perturbations 1043 1060
Dirichlet boundary conditions, and elliptic equations 696 703
Dirichlet boundary conditions, and Green’s functions 807
Dirichlet boundary conditions, and hyperbolic equation 686 704
Dirichlet boundary conditions, images for 813
Dirichlet boundary conditions, variational principle involving 1113 1132
Disk, scattering from 1521
Disk, vibrating, acoustic impedance of 1512
Disk, vibrating, radiation from 1512
Dispersion of electromagnetic waves in duct 1820
Dispersion of electromagnetic waves in duct, and Klein — Gordon equation 140
Displacement field 201
Dissipative systems 298—302
Dissipative systems, and variational principle for diffusion equation 313
Dissipative systems, impedance for 299—302
Dissipative systems, variational principle for 298
Distribution functions 174—200 1606—1638
Distribution functions, age theory 197 1635
Distribution functions, and equation of state of gas 176
Distribution functions, and external forces 194
Distribution functions, and nonuniform scattering 188
Distribution functions, boundary conditions 185
Distribution functions, continuity equation 176
Distribution functions, diffuse emission and reflection 1618
Distribution functions, diffusion, of light 180—188 1617—1628
Distribution functions, diffusion, of light, diffusion approximation 184
Distribution functions, diffusion, of light, Milne equation 182 187 1624—1628
Distribution functions, diffusion, of neutrons see diffusion of light above
Distribution functions, equation for 1607 1617
Distribution functions, for forward scattering 1610 1748 1750
Distribution functions, kinetic energy, average 175
Distribution functions, mean free path 178
Distribution functions, moments of 1614
Distribution functions, steady-state 1613
Distribution functions, variational method for 1628
Distribution functions, with energy loss on collision 196 1630
Divergence 34
Divergence condition in electromagnetism 326
Divergence, tensor notation for 50
Diverging waves 146 1065
Double periodic functions 427
Drift due to force field 195
Driving-point impedance 130 1845
Ducts, electromagnetic waves in 1819—1838
Ducts, electromagnetic waves in, attenuation in 1828—1832
Ducts, electromagnetic waves in, change in duct size 1834
Ducts, electromagnetic waves in, constriction in 1834
Ducts, electromagnetic waves in, dispersion of 1820
Ducts, electromagnetic waves in, excitation of resonator by 1856
Ducts, electromagnetic waves in, Green’s function for 1823
Ducts, electromagnetic waves in, impedance effective for 1822—1823 1833
Ducts, electromagnetic waves in, reflection, from end of 1832
Ducts, electromagnetic waves in, reflection, from wire across 1838
Ducts, electromagnetic waves in, transverse electric waves 1819
Ducts, electromagnetic waves in, transverse magnetic waves 1822
Ducts, electromagnetic waves in, wave generation in 1826
Ducts, sound waves in 1349—1357 1440—1462
Ducts, sound waves in, and conformal mapping 1448
Ducts, sound waves in, attenuation in 1441
Ducts, sound waves in, constriction in 1443
Ducts, sound waves in, elastic 1459
Ducts, sound waves in, elbow bend in 1447
Ducts, sound waves in, integral equation for 1516
Ducts, sound waves in, iris diaphragm in 1443 1514
Ducts, sound waves in, lined 1522
Ducts, sound waves in, radiation from termination of 1455 1529—1537
Ducts, sound waves in, variational principle for 1128 1517
Ducts, sound waves in, viscous flow through 1794—1795
Ducts, sound waves in, viscous flow through, nonstationary 1848
Ducts, sound waves in, with varying cross section 1352
Duplication formula for gamma functions 424
Dyadics 54—73
Dyadics, admittance 325 334
Dyadics, and tensors 54
Dyadics, as vector operators 55
Dyadics, dipole function 1886
Dyadics, Gauss’ theorem for 66
Dyadics, Green’s function 1769
Dyadics, impedance 285 325 333 1815
Dyadics, operators 72
Dyadics, principal axes of 59
Dyadics, scattering 1897
Dyadics, Stokes’ theorem for 66
Dyadics, strain 67
Dyadics, stress 70
Dyadics, symmetric 58
Dyadics, symmetric, and eigenvalue problem 59
Dyadics, unitary 62
Dynamics, classical see Classical mechanics
d’Alembertian 98 208
D’Alembert’s solution of wave equation 844
Effective area 1520
Effective range of interaction 1091
Effective width 1379
Eigenfunctions 706—778
Eigenfunctions, and boundary conditions 699 708 711—716
Eigenfunctions, and density function 728 781—786
Eigenfunctions, and Dirac delta functions 719 729
Eigenfunctions, and factorization method 729 736
Eigenfunctions, and factorization method, table 788
Eigenfunctions, and Fourier series 707 743 745
Eigenfunctions, and generating functions 748
Eigenfunctions, and variational principle 736
Eigenfunctions, asymptotic formulas for 739—743
Eigenfunctions, completeness of 708 726—729 738—739
Eigenfunctions, degeneracy of 79 725 1476 1673
Eigenfunctions, equation for 78 718
Eigenfunctions, equation for, integral 902
Eigenfunctions, for continuous distribution of eigenvalues 762
Eigenfunctions, for Laplace equations for coordinates, bipolar 1210
Eigenfunctions, for Laplace equations for coordinates, bispherical 1301
Eigenfunctions, for Laplace equations for coordinates, cartesian 1175
Eigenfunctions, for Laplace equations for coordinates, circular cylinder 1259 1262
Eigenfunctions, for Laplace equations for coordinates, ellipsoidal 1306
Eigenfunctions, for Laplace equations for coordinates, elliptic 1196
Eigenfunctions, for Laplace equations for coordinates, oblate spheroidal 1292 1295
Eigenfunctions, for Laplace equations for coordinates, parabolic 1207 1297
Eigenfunctions, for Laplace equations for coordinates, polar 1183
Eigenfunctions, for Laplace equations for coordinates, prolate spheroidal 1288
Eigenfunctions, for Laplace equations for coordinates, spherical 1270
Eigenfunctions, for wave equation, and Laplace transforms 1347
Eigenfunctions, for wave equation, for elliptic coordinates 1408
Eigenfunctions, for wave equation, for parabolic coordinates 1400
Eigenfunctions, for wave equation, for polar coordinates 1372
Eigenfunctions, for wave equation, for rectangular coordinates 1365 1434
Eigenfunctions, for wave equation, for spherical coordinates 1467
Eigenfunctions, for wave equation, for spheroidal coordinates 1502
Eigenfunctions, Green’s function in, and image method 817
Eigenfunctions, Green’s function in, expansion of 820—831 849 864 892
Eigenfunctions, in abstract vector space 716
Eigenfunctions, in several dimensions 753
Eigenfunctions, nonorthogonal 1034—1038 1345 1366
Eigenfunctions, normalization of 728 764 833
Eigenfunctions, orthogonality 60 718 727 764
Eigenfunctions, orthonormal 729
Eigenfunctions, series of 726
Eigenfunctions, series of, comparison with Fourier series 743 745
Eigenfunctions, series of, Gibbs’ phenomenon 748
Eigenfunctions, types see Coulomb; Fourier; Gegenbauer; Hermite; Jacobi; Laguerre; Legendre Tschebyscheff
Eigenvalues 78
Eigenvalues, and degeneracy 762
Eigenvalues, and Sturm — Liouville problem 721 734
Eigenvalues, asymptotic formulas 741
Eigenvalues, density of 762
Eigenvalues, distribution of 721 724
Eigenvalues, distribution of, continuous 762
Eigenvalues, equation 78 718 902
Eigenvalues, Feenberg method for 1010—1018
Eigenvalues, for dyadic, symmetric 59
Eigenvalues, for eigenvectors 717 775
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