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Morse P.M. — Methods of theoretical physics
Morse P.M. — Methods of theoretical physics

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Название: Methods of theoretical physics

Автор: Morse P.M.

Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Количество страниц: 997

Добавлена в каталог: 05.05.2013

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Предметный указатель
$i$, definition of      73 350
$Q$ of electromagnetic resonator      1851—1852 1871
(Tanh $z$)/$z$, properties of      405
Absorption cross section      181 1488 1885
Absorption width      1864
Abstract vector space      76—93
Abstract vector space, and eigenfunctions      716
Abstract vector space, and quantum theory      78 231
Abstract vector space, Bessel inequality in      82
Abstract vector space, complex      81
Abstract vector space, eigenvalues in      78 771
Abstract vector space, eigenvectors in      78 771
Abstract vector space, for spin      88
Abstract vector space, Green’s functions in      see Green’s functions in abstract vector space
Abstract vector space, Hermitian operators in      83
Abstract vector space, I — P method in      1018
Abstract vector space, integral equations in      907
Abstract vector space, operators      82
Abstract vector space, perturbation theory in      1018
Abstract vector space, Schwarz inequality in      82
Abstract vector space, transformations in      84—87 91
Abstract vector space, transformations in, unitary      84
Acoustic admittance      311
Acoustic circuit elements      1355
Acoustic impedance      310 1349 1367
Acoustic impedance, for vibrating disk      1512
Acoustic impedance, for vibrating strip      1424
Action integral      291
Action integral, and angle and action variables      294
Action integral, and Hamilton — Jacobi equation      292
Action variable and angular momentum      294
Addition theorems, for Laguerre polynomials      785
Addition theorems, for Legendre polynomials      784 1274
Adjoint boundary conditions      874
Adjoint differential operators      526 576 584 645 874
Adjoint equation      871
Adjoint function      858 1129 1131 1135
Adjoint integral equation      919 992 1939
Adjoint integral operator      877
Adjoint operators      528 584 870 880
Adjoint problem      874 919
Adjoint, Hermitian      83 772 880
Adjoint, Hermitian, self      870
Adjoint, Hermitian, self-, and Sturm — Liouville equation      720
Adjoint, Hermitian, self-, variational principle for      1112
Admittance      286 1334 1336
Admittance, acoustic      311
Admittance, and conductance      300
Admittance, and resonances      287
Admittance, and susceptance      300
Admittance, deflection      1367
Admittance, dyadic      286 334
Admittance, for boundary      1366
Admittance, for dissipative system      299
Admittance, for multiple radiation      1869
Admittance, torsional      1846
Advanced potential      206 873
Age      197 1599 1637
Age equation      197 1600 1637
Age equation, Green’s function for      199
Age theory      1635
Albedo      1607
Albedo, for diffuse reflection      1622
Ampere circuital law      204
Amplification factor      1234
Amplitude, scattered      1065 1069 1070 1167
Amplitude, scattered, and total cross section      1069
Amplitude, scattered, integral equation for      1077
Amplitude, scattered, variational principle for      1131 1135 1168 1701 1704
Amplitude, velocity      128
Analytic continuation      377 389
Analytic continuation, and branch points      391
Analytic continuation, and existence region      389
Analytic continuation, Euler’s algorithm for      395 396 482
Analytic continuation, for gamma functions      394
Analytic continuation, for hypergeometric functions      397 545 582 591
Analytic continuation, fundamental theorems for      390
Analytic continuation, natural boundary      389
Analytic continuation, Schwarz reflection      393
Analytic continuation, techniques of      392
Analytic functions      356—374
Analytic functions, and analytic continuation      377 389
Analytic functions, and Cauchy integral formula      367
Analytic functions, and Cauchy theorem      363
Analytic functions, and Cauchy — Riemann conditions      357
Analytic functions, and conformal mapping      358
Analytic functions, and electrostatics      353
Analytic functions, and impedances      372
Analytic functions, derivatives of      374
Analytic functions, inverse function of      361
Analytic functions, real and imaginary parts      370
Analytic functions, singularities of      358 480
Analytic functions, Taylor series for      375
Angle variable in classical mechanics      294
Angle-distribution factor      1065 1069 1070 1167 1374 1863 1883
Angle-distribution factor, and phase shifts      1683
Angle-distribution factor, integral equation for      1077
Angle-distribution factor, variational principle for      1131 1135 1168 1701 1704
Angular momentum, and angle variable, in classical mechanics      294
Angular momentum, density of, for electromagnetic field      331
Angular momentum, density of, for field      321 343
Angular momentum, for several particles      1721
Angular momentum, in quantum mechanics      1661
Angular momentum, operator for      89
Angular momentum, total, for Dirac equation      263
Angular velocity      125
Anisotropic elastic media      72 324
Anisotropic elastic media, table      345
Antenna, half-wave, radiation from      1830
Antisymmetric dyadic      60
Area, effective      1520
Associated Legendre functions      see Legendre functions
Asymptotic formulas, for Bessel equation      741
Asymptotic formulas, for eigenfunctions and eigenvalues      739
Asymptotic formulas, for Fourier transforms      462
Asymptotic series      434—443 482
Asymptotic series, and method of steepest descent      437
Asymptotic series, and Stokes’ phenomena      437 609 611
Asymptotic series, for Bessel functions      622
Asymptotic series, for Bessel functions, of large order      630 631
Asymptotic series, for confluent hypergeometric function      554 608 611
Asymptotic series, for coulomb wave functions      632
Asymptotic series, for exponential integral      434
Asymptotic series, for gamma functions      442
Asymptotic series, uniqueness of      436
Atom, shielded, scattering from      1682
Atom, shielded, scattering from, and form factor      1691
Atom, shielded, scattering from, and Ramsauer effect      1682
Atom, shielded, scattering from, Born approximation for      1690
Attenuation in ducts      1441 1828
Auxiliary conditions for variational principle      278
Auxiliary conditions for variational principle, and divergence condition in electromagnetism      326
Auxiliary conditions for variational principle, and Lagrange multipliers      278
Average values in quantum mechanics      232 1639
Average values in quantum mechanics, and probability      232
Average values in quantum mechanics, and transformation functions      238
Axial vectors      10 29 42 46
Babinet’s principle      1430
Bar, elastic waves along      1839
Bar, elongational waves in      1842
Bar, forced motion of      1844
Bar, torsional waves in      1841
Bernoulli’s equation      161
Bessel equation      550 553 619
Bessel equation, Green’s function for      888
Bessel equation, spherical      622 (see also Bessel functions)
Bessel functions      572 619—631
Bessel functions, and confluent hypergeometric function      619
Bessel functions, and Fourier — Bessel integral      766
Bessel functions, and Gegenbauer polynomials      621
Bessel functions, and Hankel functions      623
Bessel functions, and Laplace equation      1259 1296
Bessel functions, and Mathieu functions      634
Bessel functions, asymptotic behavior      622 630 631
Bessel functions, formulas, table      1321—1325
Bessel functions, generating function for      620
Bessel functions, integral equation for      904
Bessel functions, integral representation for      619 620 623
Bessel functions, of imaginary argument      1259 1296 1323
Bessel functions, of imaginary argument, tables      1925
Bessel functions, of large order      630
Bessel functions, orthogonalization      765
Bessel functions, phase and amplitude      1563
Bessel functions, recurrence formulas for      619
Bessel functions, roots, table      1565
Bessel functions, spherical      621 622 1465 1477
Bessel functions, spherical, and spheroidal functions      643
Bessel functions, spherical, formulas, tables      1573
Bessel functions, spherical, integral representation for      622
Bessel functions, spherical, recurrence relations for      622
Bessel functions, spherical, roots, tables      1576
Bessel functions, spherical, table of values      1926 1931—1933
Bessel functions, Stokes’ phenomena      742
Bessel functions, tables of values      1924—1926 1928—1933
Bessel inequality      82
Beta functions      425
Biharmonic equation      1786
Biharmonic equation, and stress function      1786
Biharmonic equation, example of      1796
Bilinear concomitant      528 584 645 870 874
Bilinear concomitant, for confluent hypergeometric equation      606
Bilinear concomitant, for Euler transform      587
Bilinear concomitant, for hypergeometric equation      588
Bilinear concomitant, for Legendre equation      594
Biorthogonal functions      884 891
Biorthogonal series      931
Biorthogonal series, and Neumann polynomials      934
Bipolar coordinates, and images      1180
Bipolar coordinates, and Laplace equation      1210
Bipolar coordinates, and potential outside of two cylinders      1210
Bipolar coordinates, and two cylinders in uniform field      1211
Bipolar coordinates, Green’s function      1213
Bispherical coordinates, and Laplace equation      523 1298
Bispherical coordinates, and potential between plane and sphere      1299
Bispherical coordinates, and separation      523
Bispherical coordinates, eigenfunctions for      1301
Bispherical coordinates, Green’s function in      1301
Bispherical coordinates, table      665
Born approximation      1073 1167 1688
Born approximation, convergence      1074
Born approximation, for exponential potential      1695
Born approximation, for penetration through potential barriers      1081
Born approximation, for phase shifts      1692
Born approximation, for scattering, from atoms      1691
Born approximation, for scattering, from hydrogen atom      1738
Born approximation, for Yukawa potential      1082
Born approximation, higher      1076 1692
Bound systems in quantum mechanics      1650
Bound systems in quantum mechanics, for many-particle problems      1728
Bound systems in quantum mechanics, for two-particle problems      1734
Bound systems in quantum mechanics, perturbation methods for      1001—1038
Bound systems in quantum mechanics, perturbation methods for, table      1162
Bound systems in quantum mechanics, variation-iteration method      1165
Bound systems in quantum mechanics, variational method for      1114 1164 1734
Bound systems in quantum mechanics, WKBJ approximation for      1098 1101
Boundary admittance      1366
Boundary conditions, adjoint      874
Boundary conditions, and eigenfunctions      699 711
Boundary conditions, and eigenfunctions, finiteness of      713—715
Boundary conditions, and eigenfunctions, periodic      713
Boundary conditions, and exponential eigenfunction      714
Boundary conditions, and separability      1764
Boundary conditions, and separation constants      506
Boundary conditions, and surface charge      795
Boundary conditions, and types of equations      676 706
Boundary conditions, Cauchy      see Cauchy boundary conditions
Boundary conditions, Dirichlet      see Dirichlet boundary conditions
Boundary conditions, for distribution functions      185
Boundary conditions, for elliptic equation      689 696 698 702
Boundary conditions, for fluid flow      156
Boundary conditions, for Green’s functions      797 810 834
Boundary conditions, for hyperbolic equation      683 686 703
Boundary conditions, for parabolic equation      691 705
Boundary conditions, for scattering      1065
Boundary conditions, for transverse electric waves      1819
Boundary conditions, for transverse magnetic waves      1822
Boundary conditions, for vector fields      1760 1768 1814
Boundary conditions, generalized      871
Boundary conditions, homogeneous      679 792
Boundary conditions, homogeneous, and eigenfunctions      713
Boundary conditions, inhomogeneous      see Inhomogeneous boundary conditions
Boundary conditions, Neumann      see Neumann boundary conditions
Boundary conditions, periodic, and exponential eigenfunction      714
Boundary conditions, perturbation of      1039—1052 1166
Boundary conditions, perturbation of, example      1047
Boundary conditions, perturbation of, secular determinant for      1040 1045
Boundary conditions, perturbation of, summary      1046
Boundary conditions, perturbation of, variational principle for      1132
boundary conditions, types of      678
Boundary conditions, types of, and eigenfunctions      712
Boundary conditions, variational principles involving      1113
Boundary impedance      1366
Boundary impedance, and reflection from lined duct      1522
Boundary impedance, for highly conducting surface      1817
Boundary impedance, for vector waves      1814
Boundary impedance, scattering from sphere with      1489
Boundary lines      677
Boundary shape, perturbation      1052—1064 1166
Boundary shape, perturbation, and integral equation for scattering      1070
Boundary shape, perturbation, and lower bounds for eigenvalues      1144 1148
Boundary shape, perturbation, convergence      1056 1062
Boundary shape, perturbation, for Dirichlet conditions      1060
Boundary shape, perturbation, for Neumann conditions      1052—1060
Boundary shape, perturbation, Kirchhoff approximation for      1073
Boundary shape, perturbation, scattered amplitude for      1070
Boundary shape, perturbation, secular determinant for      1054
Boundary shape, perturbation, variational principle for      1134
Boundary, Green’s function for difference equation      701
Boundary, natural, and existence region      389
Boundary, natural, and existence region, of a function      389
Branch lines      399
Branch points      391 399
Branch points, and analytic continuation      391
Branch points, and branch lines      399
Branch points, and multivalued functions      391
Branch points, and Riemann surfaces      401
Branch points, integrals involving      410
Bubbles of air in water, scattering by      1498
bulk modulus      71
Burst of particles, diffusion of      1592
Calculus of residues      408—419
Canonical momentum density      see Momentum density
Canonical transformation      86 287
Canonical transformation, and action integral      289
Canonical transformation, and conjugate variables      287
Capacitance, analogous, for sound waves in ducts      1355
Capacity, in triode      1235
Capacity, of ellipsoid      1308
Capacity, of parallel-plate condensers      1246
Capacity, of plane, and half-prolate spheroid      1288
Capacity, of plane, and line sources      1237
Capacity, of plane, and sphere      1300
Capacity, of prolate spheroid      1285
Capacity, of two cylinders      1211
Capacity, of two off-center spheres      1272
Capacity, of variable plate condenser      1249
Capacity, of wire, and two plates      1241
Capacity, of wire, near grounded plane      1182
Capacity, of wire, within elliptic cylinder      1203
Capacity, variational principle for      1108
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