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| Àâòîðèçàöèÿ |
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| Ïîèñê ïî óêàçàòåëÿì |
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| Morse P., Feshbach H. — Methods of Theoretical Physics (part 1) |
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| Ïðåäìåòíûé óêàçàòåëü |
Field momentum density for diffusion equation 344
Field momentum density for Dirac equation 336 346
Field momentum density for elastic media 323 325 345
Field momentum density for electromagnetic field 330 346
Field momentum density for fluid 312 343
Field momentum density for Klein — Gordon equation 317 345
Field momentum density for Schroedinger equation 315 344
Field momentum density for string 305 343
Field momentum density in tables 341—345
Fields 1
Fields dyadic 64 (see also “Dyadics”)
Fields electric 201
Fields electromagnetic see “Electromagnetic field”
Fields general properties 319—321
Fields irrotational 18
Fields magnetic 202 1791 1798 1803
Fields scalar 4—8 301—318 1175
Fields singularities of 20
Fields variational principles for 301—337
Fields vector 8—21 318—337 1762
Fields vorticity of 41
Fission and diffusion 1595—1604
Flexible string see “String”
Floquet’s theorem 557
Flow function 13 1180 1220
Flow function and complex variables 356
Flow lines of 12
Flow of energy see “Field intensity”
Flow of liquid through porous solid 172
Flow of mass 172
Flow resistance 1198 (see also “Compressible flow”; “Fluid flow”; “Heat flow”; “Irrotational flow”; “Viscosity”; “Viscous flow”)
Fluid flow 151—171 307—313
Fluid flow and analytic functions 1219 1227
Fluid flow Bernouilli’s equation 161
Fluid flow boundary conditions 156
Fluid flow continuity equation for 153
Fluid flow forces due to 1221
Fluid flow in ducts 1257 1261
Fluid flow incompressible see “Incompressible fluid flow”
Fluid flow irrotational 153
Fluid flow kinetic energy of 307
Fluid flow Laplace equation for 155 307
Fluid flow Mach number 166
Fluid flow past cylinders elliptic 1199
Fluid flow past cylinders two 1212
Fluid flow past cylinders, circular 1185
Fluid flow past sphere 1266
Fluid flow past spheroid, oblate 1293
Fluid flow potential energy of 308
Fluid flow shock waves and 168
Fluid flow source and sink for 153
Fluid flow subsonic and supersonic 165
Fluid flow through orifice, circular 1294
Fluid flow through slit 1195 1197 1795
Fluid flow variational principle for 307
Fluid flow velocity potential for 307
Fluid flow, viscous 160 1185
Fluid flow, viscous equation for 160
Fluid flow, viscous stresses in 158
Fluid flow, vorticity 153 1185
Flux, particle 1614
Force, on charge and currents 205
Force, on charge and currents due to fluid flow 1221
Force, on charge and currents on flexible string 120—122
Forced motion, of elastically braced string 140
Forced motion, of elastically braced string and Fourier transform 131 1333
Forced motion, of torsional waves in rod 1844
Forced motion, of vibrating string 129
Form factor 1691 1742
Forward scattering, distribution function for 1610 1748 1750
Forward scattering, distribution function for and total cross section 1069 1546
Four-vector potentials 209 326
Four-vectors see “Vectors”
Fourier integral 453
Fourier integral and quantum mechanics 241
Fourier integral and transients 131 1333
Fourier integral theorem 453 458
Fourier integral theorem and continuous eigenvalue distribution 763
Fourier inversion formula 453
Fourier series, completeness of 571
Fourier series, completeness of and eigenfunction series 743 745
Fourier series, completeness of and Fourier transforms 454
Fourier series, completeness of and Green’s functions 710
Fourier series, completeness of and Mathieu’s functions 564 573
Fourier series, completeness of and vibrating string 135
Fourier series, completeness of Gibbs’ phenomenon for 745
Fourier transforms 452—471
Fourier transforms analytic properties 459
Fourier transforms and cosine transforms 455
Fourier transforms and forced vibrations 1333
Fourier transforms and Fourier series 454
Fourier transforms and Green’s functions 1361
Fourier transforms and integral equations 942 960—992
Fourier transforms and integral theorem, Fourier 453 458
Fourier transforms and Laplace transform 467
Fourier transforms and Mellin transform 469
Fourier transforms and Parseval’s theorem 456
Fourier transforms and Poisson sum formula 466
Fourier transforms and sine transform 455
Fourier transforms asymptotic behavior 462
Fourier transforms faltung theorem for 464 483 964 972
Fourier transforms tabulation 483
Fourier — Bessel integral 766
Fractions, continued 557
Fraunhofer diffraction 887
Fredholm equation, of first kind 904 925—949 992 994
Fredholm equation, of first kind and differential equations 945
Fredholm equation, of first kind, and generating functions 935
Fredholm equation, of first kind, and Green’s functions 939
Fredholm equation, of first kind, and moment problem 947
Fredholm equation, of first kind, and transforms 942
Fredholm equation, of first kind, series solution of 926
Fredholm equation, of first kind, Wiener — Hopf solution of 990
Fredholm equation, of second kind 949—960 992 995
Fredholm equation, of second kind and Fourier transforms 960—992
Fredholm equation, of second kind and generating functions 954
Fredholm equation, of second kind and Green’s functions 952
Fredholm equation, of second kind and Hankel transforms 962
Fredholm equation, of second kind classification of 951
Fredholm equation, of second kind homogeneous 966
Fredholm equation, of second kind inhomogeneous 959 969 972 990
Fredholm perturbation method 1018—1026
Fredholm perturbation method applied to Mathieu’s equation 1025
Fredholm perturbation method modified formulas for 1033
Fredholm perturbation method with nonorthogonal functions 1036
Fredholm series for scattering 1078
Fredholm series for scattering for penetration throughout potential barrier 1081
Free path, mean 178
Free states in quantum mechanics 1650
Free states in quantum mechanics for many-particle problems 1728
frequency 125
Frequency cutoff 1442
Frequency resonant see “Resonant frequencies”
Fresnel diffraction from knife edge 1386
Fresnel integral 816 1386
Friction, expansive 159
Friction, expansive of vibrating string 137 1335
Functional series for differential equations 570—577
Functional series for differential equations and integral representations 576
Functional series for differential equations and recurrence relations 571
Functional series for differential equations completeness of 571
Gamma functions 419—425
Gamma functions analytic continuation 394
Gamma functions and beta functions 425
Gamma functions contour integral for 420
Gamma functions derivatives of 422
Gamma functions duplication formula for 425
Gamma functions infinite product for 421
Gamma functions integral representation of 394
Gamma functions recurrence relation of 419
| Gamma functions singularities of 420
Gamma functions Stirling’s approximation 424 443
Gamma functions table of properties 486
Gauge 207 210—212 1875
Gauss’ Theorem 37
Gauss’ theorem for dyadics 66
Gegenbauer functions 547—549 600—604
Gegenbauer functions addition formula 784
Gegenbauer functions and Bessel functions 621
Gegenbauer functions and finiteness boundary condition 715
Gegenbauer functions and hypergeometric function 601 783
Gegenbauer functions and integral equations 938
Gegenbauer functions and Mathieu functions 635
Gegenbauer functions and spheroidal functions 573 643
Gegenbauer functions and Tschebyscheff polynomials 604
Gegenbauer functions density function for 782
Gegenbauer functions eigenvalues and 733
Gegenbauer functions factorization of equation for 731 734
Gegenbauer functions functions expressible as 782
Gegenbauer functions generating function 602
Gegenbauer functions joining formula 602
Gegenbauer functions second solution of equation for 603
Gegenbauer functions table of properties 782
Gegenbauer polynomials 782
Generating functions 748—751 935
Generating functions and semidiagonal kernels 935 954
Generating functions and trigonometric functions 1321
Generating functions for Bessel functions 620
Generating functions for Gegenbauer polynomials 602 782
Generating functions for Hermite polynomials 786
Generating functions for Laguerre polynomials 784
Generating functions for Legendre functions of second kind 753
Generating functions for Legendre polynomials 597 748—751
Generation of electromagnetic waves in duct 1826
Generation of electromagnetic waves in duct input impedance for 1827
Geometrical optics and short-wavelengths approximation 1106
Gibbs’ phenomenon 745
Gradient 31 44 115
Green’s function 791—895
Green’s function and generating functions 802
Green’s function and image method 812—817 863
Green’s function and inhomogeneous problems 805
Green’s function and plane waves 827
Green’s function and reciprocity 701 799 804 838 854 858 866 872 882 890
Green’s function dependence on wave number 821 832
Green’s function discontinuities in 800 801 805
Green’s function eigenfunction expansion for 820—832 892
Green’s function for boundaries 701 710 797 799 801 810
Green’s function for difference equation 700
Green’s function for difference equation and random flight 702
Green’s function for difference equation for boundary 701 710
Green’s function for difference equation reciprocity of 701
Green’s function for diffusion equation 811 857—869 1587 1593 1597
Green’s function for diffusion equation eigenfunction expansion for 864
Green’s function for diffusion equation for age 199
Green’s function for diffusion equation for infinite domain 860
Green’s function for diffusion equation for inhomogeneous problem, solution of 860
Green’s function for diffusion equation for nonuniform scattering 191
Green’s function for diffusion equation image method for 863
Green’s function for diffusion equation table of properties 894
Green’s function for Helmholtz equation and Fourier transforms 1361 1550
Green’s function for Helmholtz equation and image method 812—816
Green’s function for Helmholtz equation and inhomogeneous problem 805—807
Green’s function for Helmholtz equation and Laplace transform 1343
Green’s function for Helmholtz equation and plane-wave expansions 827
Green’s function for Helmholtz equation boundary conditions for 810
Green’s function for Helmholtz equation eigenfunction expansion for 820—832 892
Green’s function for Helmholtz equation for circle 1372
Green’s function for Helmholtz equation for duct 1515
Green’s function for Helmholtz equation for infinite domain 822
Green’s function for Helmholtz equation for parallel planes 814
Green’s function for Helmholtz equation for vibrating string 125 833 1343 1346 scalar below”)
Green’s function for Helmholtz equation in circular cylindrical coordinates 888 1520
Green’s function for Helmholtz equation in elliptic coordinates 1421
Green’s function for Helmholtz equation in parabolic coordinates 1405
Green’s function for Helmholtz equation in polar coordinates 825 827 1372
Green’s function for Helmholtz equation in rectangular coordinates 823 1365 1366 1434
Green’s function for Helmholtz equation in spherical coordinates 887 1466 1469
Green’s function for Helmholtz equation in spheroidal coordinates, prolate 1507
Green’s function for Helmholtz equation scalar 803—833 887 888
Green’s function for Helmholtz equation table of properties 891
Green’s function for Helmholtz equation with variable boundary admittance 1367
Green’s function for infinite domain 822
Green’s function for Klein — Gordon equation 139 854
Green’s function for Laplace equation 799 887 1175 1179 1188
Green’s function for Laplace equation, scalar 798 800
Green’s function for Laplace equation, scalar and Poisson integral formula 814
Green’s function for Laplace equation, scalar by image method 812—816
Green’s function for Laplace equation, scalar for bipolar coordinates 1213
Green’s function for Laplace equation, scalar for bispherical coordinates 1301
Green’s function for Laplace equation, scalar for cartesian coordinates 1175 1179 1256
Green’s function for Laplace equation, scalar for cartesian coordinates within rectangular enclosure 1258
Green’s function for Laplace equation, scalar for circular cylinder coordinates 1263
Green’s function for Laplace equation, scalar for elliptic coordinates 1202
Green’s function for Laplace equation, scalar for infinite domain 822
Green’s function for Laplace equation, scalar for parabolic coordinates 1208 1298
Green’s function for Laplace equation, scalar for polar coordinates 1188
Green’s function for Laplace equation, scalar for spherical coordinates 1273
Green’s function for Laplace equation, scalar for spheroidal coordinates oblate 1295
Green’s function for Laplace equation, scalar for spheroidal coordinates prolate 1291
Green’s function for Laplace equation, scalar for static string 123
Green’s function for Laplace equation, scalar toroidal 1304
Green’s function for Laplace equation, table of properties 891
Green’s function for Laplace equation, vector 1788
Green’s function for Laplace equation, vector in polar coordinates 1798
Green’s function for Laplace equation, vector in spherical coordinates 1801
Green’s function for Schroedinger equation, two-particle 1711 1730
Green’s function for Sturm — Liouville equation 832
Green’s function for telegraphist’s equation 866
Green’s function for wave equation, scalar 834—857
Green’s function for wave equation, scalar boundary conditions for 834
Green’s function for wave equation, scalar boundary conditions for eigenfunction expansion of 849
Green’s function for wave equation, scalar boundary conditions for eigenfunction expansion of for infinite region 838—846
Green’s function for wave equation, scalar boundary conditions for eigenfunction expansion of for infinite region one dimension 843
Green’s function for wave equation, scalar boundary conditions for eigenfunction expansion of for infinite region three dimensions 836
Green’s function for wave equation, scalar boundary conditions for eigenfunction expansion of for infinite region two dimensions 842
Green’s function for wave equation, scalar boundary conditions for eigenfunction expansion of image method for 848
Green’s function for wave equation, scalar initial conditions for 834
Green’s function for wave equation, scalar reciprocity and 834
Green’s function for wave equation, scalar table of properties 893 (see also “Helmholtz equation scalar above”)
Green’s function for wave equation, vector 1789 (see also “Helmholtz equation vector above”)
Green’s function in abstract vector space see “Green’s functions”
Green’s function integral equation for 890 914
Green’s function integral representation for 415 822
Green’s function singular nature of 808—810
Green’s function symmetry of see “Reciprocity above”
Green’s function table of properties 890—894
Green’s function vector 1769 1777
Green’s function vector and inhomogeneous problem 1770
Green’s function vector expansion in eigenfunctions 1777
Green’s function vector for elastic waves 1783
Green’s function vector for electromagnetic waves in duct 1823
Green’s function vector for electromagnetic waves in resonator 1850
Green’s function vector for infinite domain 1778
Green’s function vector for spherical cavity 1873
Green’s function vector in spherical coordinates 1874
Green’s function vector longitudinal 1779
Green’s function vector transverse 1779
Green’s functions and Green’s operator 881
Green’s functions and Hermitian operators 883
Green’s functions and integral equation 939 952
Green’s functions and non-Hermitian operators 884
Green’s functions and reciprocity 882
Green’s functions for inhomogeneous integral equation 993
Green’s functions in abstract vector space 878—886
Green’s operator 881 912
Green’s operator expansion of 883 886
Green’s Theorem 803
Green’s theorem generalization of 870
Green’s theorem vector 1767
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