Morse P., Feshbach H. — Methods of Theoretical Physics (part 2) :: Электронная библиотека попечительского совета мехмата МГУ

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Morse P., Feshbach H. — Methods of Theoretical Physics (part 2)

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Название: Methods of Theoretical Physics (part 2)

Авторы: Morse P., Feshbach H.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1953

Количество страниц: 1000

Добавлена в каталог: 16.04.2007

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Integral representation for solutions of differential equations table      669 672
Integral representation for solutions of Laplace equation and Legendre functions      1275
Integral representation for solutions of Laplace equation in coordinates circular cylinder      1262
Integral representation for solutions of Laplace equation in coordinates parabolic      1297
Integral representation for solutions of Laplace equation in coordinates spherical      1270
Integral representation for solutions of Laplace equation in coordinates spheroidal oblate      1295
Integral representation for solutions of Laplace equation in coordinates spheroidal prolate      1288
Integral representation for solutions of vector wave equation      1865
Integral representation for solutions of wave equation      148
Integral representation for solutions of wave equation in spherical coordinates      1467
Integral representation for solutions of wave equation in spheroidal coordinates      1505
Integral table of properties      992—996
Integral variational principle for      912 914 1120
Integral Volterra      905 920 972
Integral Wiener — Hopf method for      978—992
Integrals involving branch points      410 472
Integrals surface      16
Integrals, evaluation by calculus of residues      408
Integration factor and adjoints      527
Integration in complex plane      362
Integration in complex plane and calculus of residues      408
Integration in complex plane and Cauchy’s integral formula      367
Integration in complex plane and Cauchy’s theorem      363
Intensity of sound wave      1374
Internal heating, transient, of slab      1590
Invariance      4 37 46 55 95
Invariance gauge      207 210—212 1875
Invariance in classical mechanics      290
Inverse function      361
Inverse function inversion of series      411
Inverse operator, uniqueness of      1110
Inverse-cube law of force in quantum mechanics      1665
Inversion and parity      1723
Inversion formula Fourier      453
Inversion formula Laplace      468
Inversion in conformal mapping      451
Inversion in conformal mapping and inversion circle      452
Inversion in conformal mapping with respect to sphere      1317
Inversion of series      411
Iris in duct approximations for      1517
Iris in duct approximations for of circular cross section      1514
Iris in duct approximations for rectangular cross section      1443
Iris in duct integral equation for      1516
Iris in duct transmission factor      1515
Iris in duct variational principle for      1516
Irregular singular point      534
Irregular singular point equation with one      537
Irregular singular point equation with one and one regular      550
Irregular singular point equation with one and two regular      555
Irrotational fields      18
Irrotational flow      153 (see also “Fluid flow”; “Incompressible fluid flow”)
Isosceles right-triangle membrane      756
Isotimic surfaces      5
Isotropic elastic media      322 345
Isotropic scattering, integral equation for distribution function      1617
Iterate      1138
Iterated kernels      915
Iteration-perturbation (I-P) method      1001—1010
Iteration-perturbation (I-P) method and variational method      1119
Iteration-perturbation (I-P) method convergence of      1005 1020 1026
Iteration-perturbation (I-P) method for Mathieu equation      1008
Iteration-perturbation (I-P) method for scattering      see “Born approximation”
Iteration-perturbation (I-P) method in abstract vector space      1018
Iteration-perturbation (I-P) method modified      1033
Iteration-perturbation (I-P) method tabulation of formulas      1162
Iteration-perturbation (I-P) method with nonorthogonal functions      1035
Iterations method of minimized      1155
Iterations three-term recursion formula for      1157
Jacobi elliptic functions      429
Jacobi polynomials      780
Jacobi polynomials and two-particle Schroedinger equation      1731
Jacobi polynomials normalization      781
Jacobi polynomials recurrence formula      781 1755
Jacobi polynomials table of formulas      1754
Joining formula      577
Joining formula for associated Legendre functions      602
Joining formula for confluent hypergeometric function      608
Joining formula for Gegenbauer functions      602
Joining formula for hypergeometric function      546 581 590 670
Kernels classification of      951—956
Kernels definite      909 910 912
Kernels definite negative      905 909
Kernels definite positive      905 909
Kernels for integral representations      582
Kernels for integral representations and Euler transform      585
Kernels for integral representations and functions of zt      644
Kernels for integral representations and Laplace transform      584
Kernels for integral representations and solutions of wave equation      636—638
Kernels of integral equations      905 912
Kernels of integral equations factorable      956
Kernels of integral equations indefinite      905 916
Kernels of integral equations iterated      915
Kernels of integral equations of form       969
Kernels of integral equations of form       936 960 962 996
Kernels of integral equations of form and faltung theorem      964
Kernels of integral equations of form and Fourier transforms      960 963—972
Kernels of integral equations of form and Laplace transform      972—975
Kernels of integral equations of form and Wiener — Hopf method      978—992
Kernels of integral equations of form       976
Kernels of integral equations polar      905 909 911
Kernels of integral equations reciprocal      915
Kernels of integral equations semidefinite      909 916
Kernels of integral equations semidiagonal      952
Kernels of integral equations singular      921
Kernels of integral equations singular intrinsically      924
Kernels of integral equations solving      914
Kernels of integral equations symmetric      908 912
Kernels of integral equations table of types      992
Kinetic energy average      175
Kinetic energy in fluid flow      307
Kinetic energy of string      126
Kinetic potential      280
Kirchhoff approximation      1073
Kirchhoff approximation convergence of      1074
Klein — Gordon equation      138 316 1343
Klein — Gordon equation and Proca equation      221
Klein — Gordon equation and relativistic quantum theory      256
Klein — Gordon equation density for canonical momentum      317
Klein — Gordon equation density for current and charge      318
Klein — Gordon equation density for field momentum      317
Klein — Gordon equation density for Lagrange      316
Klein — Gordon equation dispersion and      140
Klein — Gordon equation Green’s function for      139 854 1343
Klein — Gordon equation Hamiltonian      317
Klein — Gordon equation impulse function for      1343
Klein — Gordon equation reciprocity principle for      854
Klystron electromagnetic resonator      1859
Klystron electromagnetic resonator effective impedance of      1862
Klystron electromagnetic resonator resonance frequencies of      1862
Knife edge, Fresnel diffraction by      1386 1406
Kronecker delta function      23
Lagrange density      276 318
Lagrange density and Euler equation      277 342
Lagrange density and invariance      338
Lagrange density and variational integral      276 341
Lagrange density for diffusion equation      313 344
Lagrange density for Dirac equation      335 346
Lagrange density for elastic media anisotropic      325 345
Lagrange density for elastic media isotropic      322 345
Lagrange density for electromagnetic field      327 346
Lagrange density for fluid flow      307 343
Lagrange density for Klein — Gordon equation      316 344
Lagrange density for Laplace equation      307
Lagrange density for Schroedinger equation      314
Lagrange density for string      303 343
Lagrange density for vector fields      318
Lagrange density for wave equation      304 308 343
Lagrange density table      341—346
Lagrange function      229 280
Lagrange function and conjugate momenta      229

Lagrange function and conjugate variables      229
Lagrange function and Hamilton’s principle      280
Lagrange function and Lagrange equation of motion      281
Lagrange function and momentum      281
Lagrange function for charged particle      294
Lagrange function for dissipative systems      298
Lagrange function for relativistic particle      297
Lagrange multipliers      278
Lagrange — Euler equation      276—280 318 342
Laguerre polynomials      784
Laguerre polynomials and coulomb potential      1664 1668
Laguerre polynomials and integral equations      937
Laguerre polynomials and three-dimensional oscillator      1662
Laguerre polynomials associated      784
Laguerre polynomials factorization method and      789
Laguerre polynomials integral equation for      904
Laguerre polynomials table of properties      784
Lame equation      648
Lame equation and ellipsoidal harmonics      1306
Lame equation and Laplace equation      1305
Laplace equation      7 1173—1330
Laplace equation and Bessel functions      1259
Laplace equation and bipolar coordinates      1210
Laplace equation and complex variables      1215 1252
Laplace equation and conformal mapping      1175 1216 1243—1252
Laplace equation and hyperbolic coordinates      1209
Laplace equation and incompressible fluid flow      155
Laplace equation and Neumann boundary conditions      703
Laplace equation cartesian coordinates and      see “Cartesian coordinates”
Laplace equation difference equation for      695
Laplace equation Dirichlet boundary conditions for      703
Laplace equation Green’s function for      see “Green’s function”
Laplace equation in bispherical coordinates      523 1298
Laplace equation in cartesian coordinates      709 1175 1256
Laplace equation in circular cylinder coordinates      1259
Laplace equation in ellipsoidal coordinates      1304
Laplace equation in elliptic coordinates      1195
Laplace equation in parabolic coordinates      1207 1296
Laplace equation in polar coordinates      1183
Laplace equation in spherical coordinates      see “Spherical coordinates”
Laplace equation in spheroidal coordinates oblate      1292
Laplace equation in spheroidal coordinates prolate      1284
Laplace equation in three dimensions      1252—1309
Laplace equation in toroidal coordinates      522 1301
Laplace equation in two dimensions      1175—1252
Laplace equation separability of in three dimensions      518
Laplace equation separability of in three dimensions and confocal cyclides      519
Laplace equation separability of in three dimensions and modulation factor      518
Laplace equation separability of in two dimensions      499
Laplace equation separability of in two dimensions and conformal mapping      499
Laplace equation, Lagrange density for      307
Laplace equation, maxima and minima      7 703
Laplace equation, variational method for      1108
Laplace equation, viscous flow      1185
Laplace transform      467
Laplace transform and diffusion      1596—1602
Laplace transform and distribution function      1624
Laplace transform and forced vibration      1339
Laplace transform and integral equations      944 994
Laplace transform and nonorthogonal eigenf unctions      1348
Laplace transform and Volterra equation      972 (see also “Fourier transform”)
Laplace transform as kernel for integral representations      584 605
Laplace transform as kernel for integral representations and confluent hypergeometric equation      605
Laplace transform as kernel for integral representations and Mathieu functions      634
Laplace transform faltung theorem for      468 484
Laplace transform inversion formula for      468
Laplace transform table      1579
Laplace transform table of properties      484
Laplacian      6
Laplacian in curvilinear coordinates      115—117 338
Laplacian of vector in curvilinear coordinates      115—117
Laplacian of vector in tensor notation      51
Laurent series      378
Laurent series and isolated singularities      380
Laurent series and multipoles in electrostatics      379
Legendre equation      594
Legendre equation solution of first kind      545 595
Legendre equation solution of second kind      545 597
Legendre equation Wronskian      599
Legendre functions      545
Legendre functions addition theorem for      1274
Legendre functions and harmonics      1264
Legendre functions and Laplace equation      1264
Legendre functions and Legendre functions of second kind      599
Legendre functions and Legendre polynomials      597
Legendre functions and multipoles      1276
Legendre functions as hypergeometric function      595
Legendre functions associated      548
Legendre functions associated addition formula for      784
Legendre functions associated density function for      782
Legendre functions associated derivative formula for      601
Legendre functions associated eigenvalues and      733
Legendre functions integral representation for      595 596 1275
Legendre functions of imaginary argument      1292 1328
Legendre functions of second kind      545 652
Legendre functions of second kind and hypergeometric function      598
Legendre functions of second kind and Legendre functions      599
Legendre functions of second kind and Legendre polynomials      752
Legendre functions of second kind asymptotic behavior of      598
Legendre functions of second kind generating function for      753
Legendre functions of second kind integral representation of      597
Legendre functions of second kind recurrence relations for      600
Legendre functions of second kind table of formulas      1327—1328
Legendre functions of second kind, table of values      1921—1923
Legendre functions of second kind, Wronskian for      599
Legendre functions recurrence relations      600
Legendre functions, associated and Ferrer’s spherical harmonic      1286
Legendre functions, associated and fmiteness boundary condition      715
Legendre functions, associated and Gegenbauer functions      782
Legendre functions, associated and Hobson’s spherical harmonic      1286
Legendre functions, associated and hypergeometric function      601
Legendre functions, associated and Laplace equation in bispherical coordinates      1299
Legendre functions, associated and Laplace equation in spherical coordinates      1264
Legendre functions, associated and Laplace equation in spheroidal coordinates oblate      1292
Legendre functions, associated and Laplace equation in spheroidal coordinates prolate      1285
Legendre functions, associated and second solution      603
Legendre functions, associated and tesseral polynomials      549
Legendre functions, associated and Tschebyscheff polynomials      604
Legendre functions, associated factorization of equation for      731 734 789
Legendre functions, associated joining formula for      602
Legendre functions, associated normalization of      783
Legendre functions, associated of half-integral order      1302
Legendre functions, associated polynomials for      601
Legendre functions, associated recurrence formulas      735 782
Legendre functions, associated table of formulas      1325—1330
Legendre functions, associated table of values      783
Legendre functions, asymptotic behavior      596
Legendre functions, generalized      548
Legendre functions, table of formulas      1325—1330
Legendre functions, tables of values of      1920—1922 1927
Legendre functions, Wronskian      599
Legendre polynomials      549 748
Legendre polynomials and Gegenbauer polynomials      782
Legendre polynomials and Legendre functions of second kind      752
Legendre polynomials and orthogonalization of powers      780
Legendre polynomials completeness of      572
Legendre polynomials derivative formula for      601
Legendre polynomials formula for      750 751
Legendre polynomials generating function for      597 748
Legendre polynomials integral equation for      903
Legendre polynomials normalization      751
Legendre polynomials powers, expansion in      750
Legendre polynomials recurrence formulas      749 782
Legendre polynomials spheroidal function, expansion of, in      573 1503
Legendre polynomials tables of formulas      783 1326—1327
Legendre polynomials values, special      750
Levels, virtual      1074 1658 1686
Lift      1228—1231
Lift and analytic functions      1228
Lift and circulation about circular cylinder      1228

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