Morse P., Feshbach H. — Methods of Theoretical Physics (part 1) :: Электронная библиотека попечительского совета мехмата МГУ

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Morse P., Feshbach H. — Methods of Theoretical Physics (part 1)

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Название: Methods of Theoretical Physics (part 1)

Авторы: Morse P., Feshbach H.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1953

Количество страниц: 997

Добавлена в каталог: 16.04.2007

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

Предметный указатель

Grid potential      1234
Hamilton — Jacobi equations      292
Hamilton — Jacobi equations and angle and action variables      294
Hamilton — Jacobi equations and Schroedinger equation      1106
Hamiltonian and energy      282
Hamiltonian and Hamilton’s canonical equation      283
Hamiltonian and quantum theory      242—244 250—251 1638
Hamiltonian and quantum theory time-dependent      251—254
Hamiltonian density      304 319 342
Hamiltonian density for diffusion equation      344
Hamiltonian density for Dirac equation      336 346
Hamiltonian density for elastic field anisotropic      325 345
Hamiltonian density for elastic field isotropic      322 345
Hamiltonian density for electromagnetic field      328 345
Hamiltonian density for fluids, compressible      312 343
Hamiltonian density for Klein — Gordon equation      317 344
Hamiltonian density for Proca equation      221
Hamiltonian density for Schroedinger equation      316 344
Hamiltonian density for string      304 343
Hamiltonian density table      343—346
Hamilton’s canonical equation      283
Hamilton’s canonical equation and impedance      284
Hamilton’s canonical equations for fields      319
Hamilton’s canonical equations for fields for electromagnetic field      328
Hamilton’s canonical equations for fields for Schroedinger equation      315
Hamilton’s canonical equations for fields for string      304 342
Hamilton’s canonical equations for fields for vector fields      319
Hamilton’s principle      280
Hamilton’s principle and Lagrange equation of motion      281
Hankel functions of first kind      623
Hankel functions of first kind asymptotic formula      622 630 631
Hankel functions of first kind asymptotic formula and Bessel functions of first kind      624
Hankel functions of first kind asymptotic formula and Green’s functions      823
Hankel functions of first kind asymptotic formula and Green’s functions expansion of in eigenfunctions      827
Hankel functions of first kind asymptotic formula and Green’s functions expansion of in plane waves      823
Hankel functions of first kind asymptotic formula integral representation of      623
Hankel functions of first kind asymptotic formula spherical      622 (see also “Bessel functions”; “Neumann functions”)
Hankel functions of second kind      624
Hankel functions of second kind and Bessel functions of first kind      624
Hankel functions of second kind asymptotic formula for      630 631
Hankel functions of second kind integral representation of      624 (see also “Bessel functions”; “Neumann functions”)
Hankel transforms      944 962 994
Harmonic oscillator classical two-disional      292
Harmonic oscillator quantum one-dimensional      244—247 1640—1644
Harmonic oscillator quantum one-dimensional eigenfunctions for      246
Harmonic oscillator quantum one-dimensional energy levels of      245
Harmonic oscillator quantum one-dimensional factorization of equation      729
Harmonic oscillator quantum one-dimensional in momentum space      1650
Harmonic oscillator quantum one-dimensional perturbation of      1649
Harmonic oscillator quantum three-dimensional      1662
Harmonic oscillator quantum three-dimensional in electric field      1677
Harmonic oscillator quantum three-dimensional momentum wave functions for      1679
Harmonic oscillator quantum, coupled      1718
Harmonics ellipsoidal      1306
Harmonics sectoral      1264
Harmonics spherical      1264 1463
Harmonics spherical complex      1463
Harmonics spherical Ferrer’s      1286
Harmonics spherical Hobson’s      1286
Harmonics tesseral      1264
Harmonics toroidal      1302 1329
Harmonics vector, spherical, table      1898
Harmonics zonal      1264 1326 1463
Harmonics zonal vector table      1900
Heat flow      173
Heat flow and analytic functions      1219 1226 1227
Heat flow diffusion constant for      173
Heat flow in bar, long      1257
Heat flow in cylinder circular      1190 1259
Heat flow in cylinder D-shaped      1234
Heat flow in cylinder elliptic      1204
Heat flow in rectangular prism      1178 1258
Heat flow in sound propagation      268
Heat flow in sphere      1604
Heat flow transient      1585 1590
Heating, radiative      1588
Heisenberg equation of motion      87
Helium atom      1734
Helium, liquid      1746
Helmholtz equation for string, vibrating      125
Helmholtz equation variational method for      1112—1114 1132
Helmholtz equation variational method for radiation problems      1136
Helmholtz equation variational method for scattering      1134 (see also “Wave equation scalar”)
Helmholtz equation, Green’s function for      see “Green’s function”
Helmholtz equation, Lagrange density for      306
Helmholtz equation, scalar      125 306 1360—1582
Helmholtz equation, separability      494—519 646—648
Helmholtz equation, separability table of separable coordinates      656—666
Helmholtz resonator scattering from      1490
Hermite functions      786
Hermite functions and harmonic oscillator      246 1640
Hermite functions and integral equations      935 948
Hermite functions and Mathieu functions      1416
Hermite functions and Weber functions      1403
Hermite functions factorization of equation for      789
Hermite functions integral equation for      904
Hermitian adjoint      83 772
Hermitian kernel      992
Hermitian operators      83 772 880
Hermitian operators eigenvalues of, reality      728 773
Hermitian operators eigenvectors for      774
Hermitian operators positive definite      774
Hermitian operators variational principle and      1109
Hilbert transforms      372 944
Hill’s determinant      560
Hole in infinite plane, diffraction by      1520
Homogeneous boundary conditions      679
Homogeneous boundary conditions and eigenfunctions      713
Homogeneous differential equation      493
Homogeneous integral equation      949—959
Homogeneous integral equation and Fourier transforms      966 978
Homogeneous integral equation and Mellin transforms      976
Homogeneous integral equation and Volterra equation      920
Horn, exponential      1354
Huygens’ principle      847
Hydrogen atom      270 632 1663 1738
Hylleraas coordinates      1737
Hyperbolic coordinate system and Laplace equation      1209
Hyperbolic equations      681
Hyperbolic equations and Cauchy boundary conditions      683 704
Hyperbolic equations and Dirichlet boundary conditions      686 704
Hyperbolic equations and Neumann boundary conditions      686 704
Hyperbolic equations difference equation for      695 703
Hyperbolic equations normal form of      682
Hyperbolic equations solution of      685
Hyperbolic functions      1320
Hypergeometric function, confluent      see “Confluent hypergeometric function”
Hypergeometric functions      541—547 587—593
Hypergeometric functions analytic continuation      545 582 591
Hypergeometric functions and Euler transform      588
Hypergeometric functions confluent form of      551
Hypergeometric functions equation for      542
Hypergeometric functions expressible by      544
Hypergeometric functions expressible by Gegenbauer polynomials      547 601 783
Hypergeometric functions expressible by Gegenbauer polynomials Jacobi polynomials      780
Hypergeometric functions expressible by Gegenbauer polynomials Legendre      544 548 595 598 601
Hypergeometric functions expressible by Gegenbauer polynomials Tschebyscheff      544
Hypergeometric functions, generalized      473
Hypergeometric functions, integral representations of      580 588 592 593 669
Hypergeometric functions, integral representations of for second solution      592
Hypergeometric functions, joining equation for      546 581 591
Hypergeometric functions, series for      388 542
Hypergeometric functions, series for and Euler’s algorithm      397
Hypergeometric functions, series for on circle of convergence      388
Hypergeometric functions, table of properties      668—671
Idemfactor      57
Image space in scattering      1383
Images      812—816
Images and analytic functions      371
Images and bipolar coordinates      1180

Images and boundary conditions      686
Images and eigenfunctions      817
Images and elliptic functions      1240
Images and Green’s function      812—816 848
Images and Poisson integral formula      373 814
Images and polar coordinates      1189
Images for cylinder      1233
Images for diffusion equation      862 1587 1593
Images for Dirichlet conditions      812
Images for eoncentric cylinders      1242
Images for Neumann conditions      813
Images for parabolic coordinates      1208
Images for parallel plates      814—816 1240
Images for rectangular prism      1243
Images for sphere      1276 1317
Images periodic distribution of      1240
Images series of      814
Impedance and analytic functions      372
Impedance and Hamilton’s canonical equations      284
Impedance and reactance      300
Impedance and resistance      300
Impedance and resonant frequencies      287
Impedance effective for klystron      1862
Impedance effective for membrane in circular duct      1455
Impedance effective for piston in sphere      1483
Impedance effective for rectangular duct with constriction      1447
Impedance effective for rectangular duct with elbow bend      1451
Impedance effective for string      128
Impedance effective for transverse wave electric      1822 1833
Impedance effective for transverse wave magnetic      1822 1833
Impedance effective for vibrating sphere      1480
Impedance effective, hole in Helmholtz resonator      1492
Impedance field      1394
Impedance for multipole radiation      1868 1869
Impedance input      285
Impedance input for electromagnetic waves in duct      1827
Impedance mechanical      128
Impedance of medium      151
Impedance principal values of      285
Impedance radiation      899
Impedance transfer      285
Impedance transverse mechanical      129
Impedance transverse mechanical of tube      1460
Impedance wave      128 141 220 310
Impedance, acoustic      310 1349 1367
Impedance, acoustic for Helmholtz resonator      1492
Impedance, analogous for sound waves in tube      1355
Impedance, boundary      1366 1814 1817
Impedance, boundary and reflection from lined duct      1522
Impedance, boundary and reflection from lined duct and scattering from sphere      1489
Impedance, characteristic      220
Impedance, characteristic for dissipative systems      299
Impedance, driving point      130
Impedance, driving point for waves on bar      1845
Impedance, dyadic      285 333
Impedance, dyadic for elastic media      325
Impedance, dyadic for vector waves      1815
Impulse function      1338
Impulse function and Green’s functions      1342
Impulse function for circle, wave inside      1373
Impulse function for string with elastic support      1343
Impulse function for string with nonrigid support      1346
Impulse function for tube, sound waves in      1351
Incident plane      1813
Incoherent scattering      1496
Incompressible fluid flow      153 154
Incompressible fluid flow and Bernoulli’s equation      161
Incompressible fluid flow and Laplace equation      155
Incompressible fluid flow source for      153 161
Incompressible viscous flow      153 (see also “Incompressible fluid flow”)
Indefinite kernel      905 916
Independent solutions of differential equations      524
Index of refraction      1815
Index of refraction and scattering from sphere      1486
Indicial equation for differential equations      532
Inductance, analogous for sound waves in tube      1356
Induction magnetic      202
Inelastic scattering      1740
Inequalities Bessel      82
Inequalities in variation-iteration method      1139
Inequalities Schwarz      82
Inertance of orifice      1295
Inertance of orifice and effective mass      1295
Infinite product for gamma functions      421
Infinite product for integral functions      384
Inhomogeneous boundary conditions      679
Inhomogeneous boundary conditions differential equations      493
Inhomogeneous boundary conditions differential equations solution of      529
Inhomogeneous equations, variational principle for      1111
Inhomogeneous Fredholm integral equation      959 993
Inhomogeneous Fredholm integral equation and Fourier transforms      965
Inhomogeneous Fredholm integral equation and Laplace transforms      972
Inhomogeneous Fredholm integral equation and Mellin transforms      977
Inhomogeneous Fredholm integral equation and Wiener — Hopf equation      990
Inhomogeneous partial differential equations      792
Inhomogeneous partial differential equations solution of      806 836 859
Inhomogeneous vector Helmholtz equation      1770
Initial-value problems for scalar wave equation      843—847
Initial-value problems for scalar wave equation D’Alembert’s solution of      844
Initial-value problems for scalar wave equation for telegraphy equation      868
Initial-value problems for scalar wave equation for two dimensions      845
Initial-value problems for scalar wave equation Poisson’s solution of      847
Input impedance      285
Integral equations      896—996
Integral equations adjoint      919
Integral equations and Fourier transforms      942 960—992
Integral equations and Laplace transform      942 972
Integral equations and Mellin transform      942 976
Integral equations for distribution functions      1617
Integral equations for distribution functions and Milne equation      182 985—990 1617 1624
Integral equations for distribution functions for diffuse emission and reflection      182 1621
Integral equations for distribution functions for uniform scattering      182
Integral equations for eigenfunctions      903
Integral equations for ellipsoidal harmonies      1309
Integral equations for Mathieu equation      634
Integral equations for moment problem      947
Integral equations for propagation in ducts      1516 1522
Integral equations for radiation      1540
Integral equations for radiation from circular duct      1530
Integral equations Fredholm of first kind      905 925—949
Integral equations Fredholm of second kind      904 949—960
Integral equations general properties of      907—925
Integral equations in abstract vector space      907
Integral equations Milne      182 985—990 1617 1624—1628
Integral for scattering      1068 1072 1545
Integral for scattering and Born approximations      1073
Integral for scattering for amplitude, scattered      1077
Integral for scattering for boundary perturbations      1070
Integral for scattering Fredholm series for      1078
Integral for Schroedinger equation      1071
Integral functions      382 481
Integral functions infinite product for      385
Integral net circulation      18
Integral net outflow      16 34
Integral representation for solutions of differential equations      577—646
Integral representation for solutions of differential equations and adjoint      583
Integral representation for solutions of differential equations and Euler transform      585
Integral representation for solutions of differential equations and functional series      574
Integral representation for solutions of differential equations and power series      578
Integral representation for solutions of differential equations and separated wave equation      637
Integral representation for solutions of differential equations for Bessel functions      619 620
Integral representation for solutions of differential equations for Bessel functions spherical      622
Integral representation for solutions of differential equations for Hankel functions      623—624
Integral representation for solutions of differential equations for hypergeometric function      579 588 592 593 669
Integral representation for solutions of differential equations for hypergeometric function confluent      605 672
Integral representation for solutions of differential equations for Mathieu functions      633
Integral representation for solutions of differential equations for spheroidal functions      1505
Integral representation for solutions of differential equations kernel for      582
Integral representation for solutions of differential equations Legendre function      595 597
Integral representation for solutions of differential equations modulation factor for      582

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