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

Lift in flow, past elliptic cylinder      1202
Lift in flow, past strip      1230
Light, diffusion of      180
Line integral      17 (see also “Integration in complex plane”)
Line sources circular array      1234
Line sources fields due to distribution of      1231
Line sources linear array      1235
Line sources two-dimensional array      1238
Line, transmission      218
Linear differential equation      492
Lined duct, reflection in      1522
Lines of flow      12
Liouville’s equation      see “Sturm — Liouville equation”
Liouville’s theorem      381
Long-wavelength approximation      1085
Long-wavelength approximation convergence of      1091
Long-wavelength approximation for radiation      1375 1877
Long-wavelength approximation for scattering      1380 1430 1484 1862 1884
Long-wavelength approximation for Schroedinger equation      1088 1606
Long-wavelength approximation for Schroedinger equation and effective range      1091
Long-wavelength approximation for Schroedinger equation and scattering length      1087 1089
Longitudinal component of vector field      1761 1763
Longitudinal current      211
Longitudinal electromagnetic waves      206 211
Longitudinal Green’s dyadic      1779
Longitudinal Green’s dyadic equation satisfied by      1782
Longitudinal Green’s dyadic expansion for      1782
Longitudinal vector eigenfunctions for circular cylinder coordinates      1797
Longitudinal vector eigenfunctions for rectangular coordinates      1774
Longitudinal vector eigenfunctions for spherical coordinates      1800 1808 1865
Longitudinal waves impedance      151
Longitudinal waves in curvilinear coordinates      1840
Longitudinal waves in sphere      1873
Longitudinal waves stress and strain for      149 1813
Longitudinal waves, elastic      142 1813
Longitudinal waves, elastic reflection of      1814
Lorentz invariance      95
Lorentz invariance and Klein — Gordon equation      256
Lorentz invariance for electromagnetic field      208
Lorentz invariance in quantum mechanics      256
Lorentz invariance of D’Alembertian      208
Lorentz invariance of Lagrange density      338
Lorentz transformation      94—100
Lorentz transformation and current four-vector      208
Lorentz transformation and Dirac equation      262
Lorentz transformation and electromagnetic field      208
Lorentz transformation and gauge transformation      210
Lorentz transformation and Klein — Gordon equation      256
Lorentz transformation and potential four-vector      208
Lorentz transformation and relativistic particle motion      297
Lorentz transformation of electric fields      210
Lorentz transformation of magnetic fields      210
Lorentz transformation of spinors      102
Mach angle      166 169
Mach line      166
Mach line and shock waves      168
Mach number      165
Maggi transformation      1552
Magnetic dipole, induced      1886
Magnetic dipole, radiation from      1868 1879
Magnetic dipole, radiation from energy of      1880
Magnetic fields      202
Magnetic fields and currents      203 1798 1803
Magnetic fields and permeability      202
Magnetic fields and vector Laplace equation      1791
Magnetic fields and vector potential      203
Magnetic fields from rotating charged sphere      1803
Magnetic fields under Lorentz transformation      210
Magnetic force      1181
Magnetic induction      202
Magnetic multipole, energy of      1880
Magnetic multipole, radiation from      1869 1879
Magnetic potential      1181 1199 1204 1205
Magnetic potential and conformal mapping      1218
Magnetic potential from currents      1266
Magnetic potential of line sources      1231 1233
Magnetic potential of line sources for linear array of      1238
Magnetic potential of wire in slot      1226
Magnetic potential outside of cylinders, two      1214
Magnetic quadrupole, energy of      1880
Magnetic quadrupole, radiation from      1879
Magnetic wave, transverse      see “Transverse magnetic waves”
Magnetostatics      see “Magnetic fields”; “Magnetic potential”
Magnitude of complex number      350
Many-particle problems in quantum mechanics      1709—1728
Mapping, conformal      see “Conformal mapping”
Mass flow      172
Mass, effective of circular orifice      1295
Mass, effective of rectangular duct with constriction      1447
Mathieu functions      556—568 633—642 1408—1421
Mathieu functions and continued fractions      557 565
Mathieu functions and elliptic functions      1418
Mathieu functions and elliptic integrals      1414
Mathieu functions and Fourier series, expansion in      557
Mathieu functions and Hermite functions      1417
Mathieu functions and Hill’s determinant      560
Mathieu functions and recursion formulas      557
Mathieu functions and wave equation      1408—1432
Mathieu functions approximations for      1412—1419
Mathieu functions approximations for Feenberg perturbation      1017
Mathieu functions approximations for Fredholm      1025
Mathieu functions approximations for iteration-perturbation      1008
Mathieu functions approximations for variation-iteration      1031
Mathieu functions approximations for WKBJ      1414
Mathieu functions eigenvalues for      557
Mathieu functions even      563—565
Mathieu functions integral equation for      634
Mathieu functions normalization of      564
Mathieu functions odd      563—565
Mathieu functions periodic      562 573
Mathieu functions product expansion of      639
Mathieu functions radial and wave equation      1410
Mathieu functions radial approximations for      1414
Mathieu functions radial asymptotic behavior      1410
Mathieu functions radial Bessel function, expansion in      635
Mathieu functions radial of approximations for      1414
Mathieu functions radial of asymptotic behavior      1411
Mathieu functions radial of first kind      635 640 1410
Mathieu functions radial of Neumann function, expansion in      635
Mathieu functions radial of of third kind      642
Mathieu functions radial of product expansion of      640
Mathieu functions radial of second kind      567 635 640 1410
Mathieu functions radial of table of formulas      1568—1573
Mathieu functions radial of value and slope of      640
Mathieu functions radial of Wronskian      640
Mathieu functions radial product expansion of      640
Mathieu functions radial table of formulas      1568—1573
Mathieu functions radial value and slope of      640
Mathieu functions table of formulas      673 1568—1573
Mathieu functions table of values      1934—1937
Mathieu functions Wronskian      568
Matrices and operators      772
Matrices and operators diagonal      777
Matrix elements      1648
Matrix sum rule      1742
Mean free path      178
Mean free path and scattering cross section      178
Measurement in quantum mechanics      231
Measurement in quantum mechanics and operators      231
Measurement in quantum mechanics and probabilities      232
Mechanical impedance      128
Mechanics      see “Classical mechanics”; “Quantum mechanics”
Meffin transform      469
Meffin transform and Fourier transform      469
Meffin transform and integral equations      944 976 995
Meffin transform as kernel for integral representations      585
Meffin transform faltung theorem for      470 485
Meffin transform table      485
Membrane in rigid plate      898
Membrane, elliptic      757

Membrane, isosceles right triangle      755
Membrane, rectangular      754
Membrane, variational principle for      343 1114
Membrane, vibrations of in duct      1452
Meromorphic functions      382 481
Meromorphic functions expansion in partial fractions      383
Milne equation      182 187 985 1617
Milne equation solution by variational method      1628
Milne equation solution by Wienor — Hopf method      985—990 1624—1628
minimax      440
Mixed tensor      46 55
Modulation factor for integral representations      582
Modulation factor for integral representations for Euler transform      587
Modulation factor for integral representations for hypergeometric equation      588
Modulation factor in separation of variables      518
Modulus, compressibility      162
Modulus, compressibility of elliptic function      433
Moment of inertia      56
Moments of distribution function      1614
Momentum      281
Momentum and Hamiltonian      283
Momentum average      175
Momentum conjugate      229
Momentum density of for field      see “Field momentum density”
Momentum density, canonical      304 320 342
Momentum density, canonical for diffusion equation      313 344
Momentum density, canonical for Dirac equation      346
Momentum density, canonical for elastic media      345
Momentum density, canonical for electromagnetic field      328 346
Momentum density, canonical for fluid flow      309 343
Momentum density, canonical for Klein — Gordon equation      317 3 45
Momentum density, canonical for Schroedinger equation      314 344
Momentum density, canonical for string      304 343
Momentum density, canonical for vector fields      320
Momentum density, canonical table      341—346
Momentum four-vector      97
Momentum operator      80 231
Momentum operator and coordinate operator      241
Momentum space in quantum mechanics      80 239 1077 1638 1649 1678
Momentum space in quantum mechanics and coordinate space      241
Momentum space in quantum mechanics and coulomb wave functions      1679
Momentum space in quantum mechanics and Fourier integral theorem      241
Momentum space in quantum mechanics and harmonic oscillator      1650 1679
Momentum space in quantum mechanics and Schroedinger equation      243
Momentum space in quantum mechanics transformation function for      239
Momentum transfer cross section      188 193
Momentum wave      306
Momentum wave for flexible string      306
Momentum wave for Schroedinger equation      316
Momentum wave for sound wave      312
Multinomial theorem      412
Multiply connected regions      363
Multiply connected regions Cauchy’s theorem for      365
Multipoles      1276—1283
Multipoles radiation from      1869 1877—1880
Multivalued functions      398—408
Multivalued functions and analytic continuation      391
Multivalued functions and branch lines      399
Multivalued functions and branch points      391 399
Natural boundary of function      389
Neumann boundary conditions      495 706 875
Neumann boundary conditions and boundary perturbations      1039 1060
Neumann boundary conditions and elliptic equations      698 703
Neumann boundary conditions and Green’s functions      807
Neumann boundary conditions and hyperbolic equations      686
Neumann boundary conditions and parabolic equations      705
Neumann boundary conditions images for      813
Neumann boundary conditions variational principle involving      1113 1132
Neumann factor      744
Neumann functions      625—631
Neumann functions and confluent hypergeometric function      625
Neumann functions and Hankel functions      625
Neumann functions and Mathieu function of second kind, radial      635 1411
Neumann functions asymptotic formula for      625
Neumann functions asymptotic formula for large order      630 681
Neumann functions series for      627 1322
Neumann functions, spherical      622 1465
Neumann functions, spherical and spheroidal functions, radial      1507
Neumann functions, spherical asymptotic behavior      1465
Neumann functions, spherical series      1466
Neumann functions, spherical table of properties      1573—1576
Neumann functions, spherical table of values      1926 (see also “Bessel functions spherical”)
Neumann functions, table of properties      1322—1325 1563—1565
Neumann functions, table of properties of values      1924 (see also “Bessel functions”; “Hankel functions”)
Neumann polynomials      934
Neumann series      934
Neutron diffusion      173 1595—1604 1613—1637
Neutron diffusion and delayed neutrons      1595
Neutron diffusion and slowing down      1599 (see also “Age theory”; “Milne equation”)
Neutron diffusion of burst      1602
Neutron diffusion, diffusion constant      173
Non-Hermitian operators      884
Nonorthogonal eigenfunctions      1345 1366
Nonorthogonal eigenfunctions perturbation method in terms of      1034—1038
Nonpositive definite operators      909 916—921
Nonpositive definite operators, variation-iteration method for      1149—1155
Normal acoustic impedance      311
Normal coordinates      76
Normal form for elliptic equation      688
Normal form for hyperbolic equation      682
Normal form for parabolic equation      691
Normal impedance      see “Boundary impedance”
Normal modes for weighted string      134(see also “Eigenfunctions”; “Eigenvectors”)
Normalization      728
Normalization evaluation of      1055
Normalization for continuous eigenvalue spectrum      240 764
Normalization for eigenfunctions      728 764
Normalization for eigenvectors      236
Normalization for Gegenbauer polynomials      783
Normalization for Hermite polynomials      786
Normalization for Laguerre polynomials      785
Normalization for Legendre polynomials      751
Normalization of Mathieu functions      564 1409
Normalization of Mathieu functions table of values      1936—1937
Oblate spheroidal coordinates      514 662
Oblate spheroidal coordinates and flow past oblate spheroid      1293
Oblate spheroidal coordinates and flow through circular orifice      1294
Oblate spheroidal coordinates and Laplace equation      1292
Oblate spheroidal coordinates and Laplace equation Green’s function for      1295
Oblate spheroidal coordinates and Laplace equation integral representation of solutions      1295
Oblate spheroidal coordinates and Legendre functions of imaginary argument      1292
Oblate spheroidal coordinates and separation      514 662
Oblate spheroidal coordinates and wave equation      1512
Observables in quantum theory      79
Operator      76—80 82—90 769—778 879—886
Operator adjoint      528 583 870 874 880
Operator adjoint Hermitian      772 880 1109
Operator adjoint self-      871 1112
Operator adjoint to differential      874
Operator adjoint to integral      877
Operator and definition of i      350
Operator and matrices      772
Operator and measurement in quantum mechanics      231
Operator and weighted string, equation for      131
Operator and weighted string, equation for limit to continuous string      134
Operator angular-momentum      89
Operator average value of      232
Operator commutation rules for      238
Operator commuting      79
Operator conjugate      880
Operator coordinate      80 235
Operator differentiation as      770
Operator dyadic      55
Operator equation for eigenvalues      79 718 774—778 1018
Operator for Dirac equation      259
Operator functions of      233 775
Operator Green’s      881 883 886 912
Operator Hermitian      83 772 880
Operator integral      869
Operator integration as      770

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