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

Operator inverse      1110
Operator momentum      80 231 239 1638 1640
Operator non-Hermitian      884
Operator nonpositive definite      1149
Operator positive definite      774
Operator projection      112 1019
Operator quantum      76—80 82—90
Operator rotation      91
Operator rotation as quaternion      75
Operator rotation in spinor form      105
Operator skew-Hermitian      910 918
Operator spin      88
Operator spin Pauli      104
Operator spur of      913 916 1023 1144
Operator time dependence of      85 249
Operator transformation of      85
Operator unit-shift      132
Operator unitary      84
Operator variational principles involving      1108—1112
Ordinary points for differential equation      530
Orifice, flow through      1294
Orifice, flow through effective mass of      1295
Orifice, flow through inertance of      1295
Orthogonal coordinates      23—28
Orthogonal coordinates and tensors      44—54
Orthogonal coordinates directional derivative in      33
Orthogonal coordinates divergence in      36
Orthogonal coordinates gradient in      32
Orthogonal coordinates scale factors      24
Orthogonal coordinates table of properties      115—117
Orthogonal coordinates table of separable      655—666
Orthogonal coordinates volume element in      27
Orthogonality of eigenfunctions      718 727 756
Orthogonality of eigenfunctions in continuum      764
Orthogonalization      928—935
Orthogonalization Schmidt method of      781—782 928—929
Orthonormal set of eigenfunctions      729
Oscillation theorems for Sturm — Liouville problems      721 724
Oscillator      see “Harmonic oscillator”
Outflow integral      16 35
Papperitz equation      539 (see also “Regular singular points differential
Parabolic coordinates      501 515 658 660
Parabolic coordinates and coulomb potential      1667
Parabolic coordinates and coulomb potential and Rutherford scattering      1669
Parabolic coordinates and Laplace equation and Bessel functions of imaginary argument      1296
Parabolic coordinates and Laplace equation Green’s function in      1298
Parabolic coordinates and Laplace equation in three dimensions      1296
Parabolic coordinates and Laplace equation in two dimensions      1207
Parabolic coordinates and Laplace equation in two dimensions Green’s function in      1208
Parabolic coordinates and Laplace equation integral representation of      1297
Parabolic coordinates and wave equation      1398—1407
Parabolic coordinates and wave equation and diffraction by knife edge      1406
Parabolic coordinates and wave equation and separation of variables      501 515
Parabolic coordinates and wave equation and Weber functions      1403
Parabolic coordinates and wave equation eigenfunctions for interior problems      1400
Parabolic coordinates and wave equation Green’s function in      1405
Parabolic coordinates and wave equation plane-wave expansion      1405
Parabolic cylinder functions      553 (see also “Parabolic coordinates and
Parabolic equations      173 691
Parabolic equations boundary conditions for      705 706
Parabolic equations difference equation for      705 778
Parabolic equations normal form of      691
Paraboloidal coordinates and separation      514 664
Parity and inversion for quantum mechanics      1723
Parseval’s theorem      456
Partial differential equations age equation      197
Partial differential equations Dirac equation      260
Partial differential equations elastic medium, waves in      142
Partial differential equations elastically braced string      138
Partial differential equations electromagnetic field      204 205
Partial differential equations electrostatics      202
Partial differential equations fluid flow      156
Partial differential equations for compressible flow, linear approximation      169
Partial differential equations for diffusion      137 173
Partial differential equations for diffusion for nonuniform scattering      188
Partial differential equations for diffusion of light      183
Partial differential equations Helmholtz equation      125 306
Partial differential equations inhomogeneous      792
Partial differential equations inhomogeneous solution of      806
Partial differential equations Klein — Gordon equation      138
Partial differential equations Laplace equation      156 202
Partial differential equations Maxwell equations      204
Partial differential equations of physics      119—273
Partial differential equations Poisson equation      202
Partial differential equations Proca equation      221
Partial differential equations Schroedinger equation      242
Partial differential equations Stokes — Navier equation      160
Partial differential equations string, waves on      124
Partial differential equations table      271—272
Partial differential equations transmission line      218
Partial differential equations viscous flow      160
Partial differential equations wave equation, scalar      124
Partial differential equations wave equation, vector      142 205
Partial differential equations, elliptic      688
Partial differential equations, hyperbolic      681
Partial differential equations, parabolic      691
Partial fraction expansion for morphic functions      383
Partial fraction expansion for tan z      384
Particle density      1614
Particle diffusion      173—200 1592—1638
Particle diffusion and age equation      197 1599—1603 1635—1638
Particle diffusion and density      1614
Particle diffusion and distribution function      174 1606—1638
Particle diffusion continuity equation      1614
Particle diffusion diffusion approximation for      183 1592—1599 1603
Particle diffusion emission of, diffuse      1622
Particle diffusion for forward scattering      1610 1748 1750
Particle diffusion for isotropic scattering      1617—1630
Particle diffusion for nonuniform scattering      189
Particle diffusion forces, effect of external      194
Particle diffusion integral equation for      1617 1632
Particle diffusion Milne equation for      187 915 1618 1624—1630
Particle diffusion of burst      1594
Particle diffusion phase space and      174
Particle diffusion reflection and, diffuse      1619
Particle diffusion scattering and, diffuse      1620
Particle diffusion slowing down by collisions and      196 1599—1603 1631—1638
Particle diffusion, steady-state      1613
Particle diffusion, steady-state uniform space distribution and      1608 1632
Particle diffusion, steady-state variational method for      1628
Particle flux      1614
Particle wavelength      225
Particles in electromagnetic field      254
Pauli spin operators      104
Penetration of potential barrier      1075 1659
Penetration of potential barrier Born approximation for      1081
Penetration of potential barrier Fredholm series for      1081
Penetration of potential barrier WKBJ approximation for      1099
Periodic boundary conditions and eigenfunctions      713
Periodic functions      425
Periodic functions doubly      427—434
Periodic functions doubly table of properties      486—490
Permeability      202
Perturbation methods Feenberg      1010—1018
Perturbation methods Feenberg and Mathieu equation      1017
Perturbation methods Feenberg convergence      1015
Perturbation methods for scattering      1064—1106
Perturbation methods for scattering Born approximation      1073 1688
Perturbation methods for scattering Born approximation convergence of and virtual levels      1074
Perturbation methods for scattering Born approximation higher      1076 1692
Perturbation methods for scattering examples      1075 1080 1082 1690
Perturbation methods for scattering Fredholm      1078
Perturbation methods for scattering Kirchhoff      1073
Perturbation methods for scattering long-wavelength      1085—1091
Perturbation methods for scattering long-wavelength convergence      1091
Perturbation methods for scattering long-wavelength for Helmholtz equation      1085—1087
Perturbation methods for scattering long-wavelength for Schroedinger equation      1088—1091
Perturbation methods for scattering short-wavelength      1092—1105
Perturbation methods for scattering short-wavelength barrier penetration      1099
Perturbation methods for scattering short-wavelength for Helmholtz equation      1537—1544 1551—1555

Perturbation methods for scattering short-wavelength for phase shifts      1101
Perturbation methods for scattering short-wavelength WKBJ      see “Scattering short-wavelength
Perturbation methods Fredholm      1018—1026
Perturbation methods Fredholm and Mathieu equation      1025
Perturbation methods Fredholm modified      1033
Perturbation methods in abstract vector space      1018
Perturbation methods in abstract vector space, variation-iteration      1026—1032
Perturbation methods in abstract vector space, variation-iteration and Mathieu equation      1031
Perturbation methods in abstract vector space, WKBJ      see “WKBJ method”
Perturbation methods iteration      1001—1010
Perturbation methods iteration and harmonic oscillator      1647
Perturbation methods iteration and Mathieu equation      1008
Perturbation methods iteration convergence      1005 1020 1026
Perturbation methods iteration for degenerate systems      1673
Perturbation methods iteration matrix element for      1648
Perturbation methods iteration modified      1033
Perturbation methods secular      1011
Perturbation methods table of formulas      1162—1164
Perturbation methods with nonorthogonal functions      1034
Perturbation of boundary conditions      1039—1052
Perturbation of boundary conditions example      1047 1367
Perturbation of boundary conditions secular determinant for      1040 1045
Perturbation of boundary conditions summary      1046
Perturbation of boundary conditions table      1166
Perturbation of boundary conditions table for approximate Dirichlet conditions      1043—1046
Perturbation of boundary conditions table for approximate Neumann conditions      1039—1043 (see also “Impedance boundary”)
Perturbation of boundary shape      1052—1064
Perturbation of boundary shape convergence      1056
Perturbation of boundary shape examples      1062 1387 1392 1435 1443 1447 1472 1490
Perturbation of boundary shape for Dirichlet conditions      1060—1062
Perturbation of boundary shape for Neumann conditions      1053—1055
Perturbation of boundary shape resonant frequencies      1054 1439
Perturbation of boundary shape secular equation for      1054
Perturbation of boundary shape table      1166
Perturbations, surface      999 1038—1064
Perturbations, volume      1000—1038
Phase angles      see “Phase shift”
Phase of complex number      350
Phase shift      1068 1072 1681
Phase shift Born approximation for      1072 1692
Phase shift variational principle for      1123—1128 1160 1701—1705
Phase shift WKBJ approximation for      1102
Phase space      174
photons      223
Photons energy of      224
Photons momentum of      225
Piezoelectricity      267 341
Planck’s constant      224
Planck’s constant and uncertainty principle      227
Plane of incidence      1813
Plane wave      145
Plane wave and Green’s functions      828
Plane wave and integral representations      828
Plane wave electromagnetic      334 1812
Plane wave electromagnetic in spherical coordinates      1866
Plane wave electromagnetic reflection of, from plane      1813
Plane wave electromagnetic stress-energy tensor      335
Plane wave electromagnetic wave impedance      335
Plane wave expansion in elliptic coordinates      1422
Plane wave for Dirac equation      264
Plane wave for two-particle Schroedinger equation      1732
Plane wave in elasticity      323 1813
Plane wave in elasticity reflection of, from plane      1818
Plane wave in elasticity stress-energy tensor for      324
Plane wave in parabolic coordinates      1405
Plane wave in polar coordinates      828 1377
Plane wave in spherical coordinates      1466
Plane wave in spheroidal coordinates      1508
Plane wave of sound      311
Plane wave of sound stress-energy tensor for      312
Poisson brackets      229 290
Poisson brackets and quantum mechanics      230
Poisson equation      8 38 1173—1330
Poisson equation and Green’s function      798
Poisson equation boundary conditions for      703
Poisson equation difference equation and      695
Poisson equation for electrostatics      202
Poisson equation for string      121
Poisson equation vector      1791 (see also “Laplace equation”)
Poisson integral formula      373 814
Poisson’s ratio      72 1844
Poisson’s solution of initial-value problem      847
Poisson’s sum formula      467 483
Polar coordinates      502 656
Polar coordinates and Laplace equation      1183—1195
Polar coordinates and Laplace equation and concentric cylinders, field for      1184
Polar coordinates and Laplace equation and cylinders in fields      1184
Polar coordinates and Laplace equation and internal heating      1190
Polar coordinates and Laplace equation and slotted cylinder      1192
Polar coordinates and Laplace equation Green’s function for      1188
Polar coordinates and separability      502
Polar coordinates and vector Laplace equation      1795
Polar coordinates and vector Laplace equation and static elasticity      1796
Polar coordinates and vector Laplace equation and viscous flow in ducts      1795
Polar coordinates and wave equation      1371—1397
Polar coordinates and wave equation Green’s function for      825 1372
Polar coordinates and wave equation impulse function      1373
Polar coordinates and wave equation membrane, circular      1372
Polar coordinates and wave equation plane-wave expansion      828 1377
Polar coordinates and wave equation radiation from circular boundary      1373
Polar coordinates and wave equation scattering, from cylinder      1376
Polar coordinates and wave equation scattering, from knife edge      1383
Polar coordinates and wave equation scattering, from slotted cylinder      1387 (see also “Circular cylinder coordinates”)
Polar kernel      905 909 911 992
Poles      380 480
Poles for elliptic function      429
Poles of gamma function      420
Polygamma functions      422—423
Polygon, mapping of      445 1243
Polygon, mapping of bounded by circular ares      451 (see also “Schwarz — Christoffel transformation”)
Polynomials, orthogonal      781 787
Polynomials, orthogonal and factorization      730 788
Polynomials, orthogonal and generating functions      748
Polynomials, orthogonal and orthogonalization      781 928—935
Polynomials, orthogonal Gegenbauer      782 (see also “Gegenbauer functions”)
Polynomials, orthogonal Hermite      786
Polynomials, orthogonal Jacobi      see “Jacobi polynomials”
Polynomials, orthogonal Laguerre      see “Laguerre polynomials”
Polynomials, orthogonal Legendre      1325—1330 (see also “Legendre functions”)
Polynomials, orthogonal tesseral      549
Polynomials, orthogonal Tschebyscheff      782 (see also “Tschebyscheff functions”)
Porous solid, flow of liquid through      172
Position operator      80
Positive definite kernel      905 909 992
Positive definite operator      774
Potential, advanced      206 873
Potential, advanced barrier penetration of      see “Penetration of potential barrier”
Potential, advanced electrostatic      see “Electrostatics”
Potential, advanced energy in fluid flow      308
Potential, advanced energy of string      126
Potential, advanced four-vector      208 326
Potential, advanced function      14
Potential, advanced kinetic      280
Potential, advanced retarded      206 840 873
Potential, advanced scalar      see “Scalar potential”
Potential, advanced surface      13
Potential, advanced vector      see “Vector potential”
Potential, advanced velocity      see “Velocity potential”
Power series      385 (see also “Taylor series”)
Poynting’s vector      215 331
Pressure      159 176 1185
Principal axes of dyadic      59
Principal extensions      67
Principal stress      71
Principal value of integral      368n. 473
Probability in quantum theory      80 232
Proca equation      221 271 1891
Product of vectors      10
Projection operator      112 1019
Prolate spheroidal coordinates      514 661

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