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| Morse P., Feshbach H. — Methods of Theoretical Physics (part 1) |
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| Предметный указатель |
Vector Helmholtz equation in cylindrical coordinate 1823
Vector Helmholtz equation in rectangular coordinates 1773 1849
Vector Helmholtz equation in spherical coordinates 1864—1891
Vector Helmholtz equation in spheroidal coordinates 1892
Vector Helmholtz equation inhomogeneous, solution of 1770
Vector Helmholtz equation plane wave, reflection of 1812
Vector Helmholtz equation radiation 1427 1867 1875—1882
Vector Helmholtz equation separability of 1764
Vector Helmholtz equation tangential solution 1766
Vector Helmholtz equation variational principle 1895 1898
Vector Laplace equation 1784
Vector Laplace equation and biharmonic equation 1786
Vector Laplace equation currents, fields due to 1791
Vector Laplace equation for incompressible viscous flow 1792
Vector Laplace equation Green’s dyadic for 1798
Vector Laplace equation Green’s function for see “Green’s function”
Vector Laplace equation in polar coordinates 1795
Vector Laplace equation in spherical coordinates 1799
Vector Laplace equation two-dimensional 1793
Vector operator, dyadic as 55
Vector Poisson equation 1791
Vector Poisson equation for incompressible viscous flow 1792
Vector potential 53
Vector potential for elasticity 144 147
Vector potential for electromagnetic fields 205 1763
Vector potential for fluid motion 162
Vector potential for magnetic fields 203 1763 1791 1798 1803
Vector space, complex 81 (see also “Abstract vector space”)
Vector wave equation 206 1762—1784 1789—1791 1812—1891
Vector wave equation boundary conditions for 1760 1768 1814
Vector wave equation dyadic impedance for 1815
Vector wave equation Green’s functions for 1789
Vector wave equation integral representation for 148 (see also “Elastic waves”; “Electromagnetic waves”; “Vector Helmholtz equation”)
Vectors 8
Vectors and complex numbers 351
Vectors and spinors 101
Vectors axial 10 29 42 46
Vectors contravarient 30 44
Vectors covarient 30 44
Vectors cross product of 10
Vectors four- 96
Vectors four- for currents 208
Vectors four- for momentum 97
Vectors four- potential 208 326
Vectors four- pseudo 209
Vectors rotation of, dyadic 66
Vectors scalar product 10
Vectors scalar product triple 11
Vectors sum of gradient and curl 52
Vectors transformation 29
Velocity amplitude 128
Velocity density for Dirac equation 261
Velocity potential 153 307
Velocity potential and compressible flow 167
Velocity potential and Laplace equation 155
Velocity potential and wave equation 162 (see also “Fluid flow”)
Velocity wave for elastic waves 142 143
Velocity wave for electromagnetic waves 206
Velocity wave for Klein — Gordon equation 140
Velocity wave for sound waves 163
Velocity wave for waves on string 124
Velocity wave, dispersion of 140 1820
Vibration see “Helmholtz equation”; “Membrane”; “String”; “Vector Helmholtz equation”; “Vector wave equation”; “Wave equation”
Virtual levels 1657 1685
Virtual levels and convergence of perturbation method for scattering 1074
viscosity 159—163
Viscosity and expansion friction 159
Viscosity and Reynolds number 1795
Viscosity and vector diffusion equation 163
Viscosity and wave equation 160
Viscosity coefficient of 159 160
Viscous flow, three-dimensional 1792
Viscous flow, three-dimensional between spheres, concentric 1805
Viscous flow, three-dimensional past sphere 1806
Viscous flow, three-dimensional past sphere and Stokes’ law 1807
Viscous flow, three-dimensional through duct nonstationary 1848
Viscous flow, three-dimensional through duct rectangular 1794
Viscous flow, three-dimensional through duct, circular 1795
Viscous flow, two-dimensional 1185
Viscous flow, two-dimensional and Cauchy — Riemann conditions 1186
Viscous flow, two-dimensional between cylinders, two 1225 1233
Viscous flow, two-dimensional between planes, parallel 1186
Viscous flow, two-dimensional between planes, parallel tilted 1187
Viscous flow, two-dimensional through slit 1197 1795
Volterra integral equation 905 907 920 972 992 995
Volterra integral equation and Laplace transform 972
Volume element 27
Volume perturbation 1000 (see also “Perturbation methods”; “Variational methods”)
Vortex line 19 1231
| Vorticity vector 41 153 1185—1188
Wave equation 98
Wave equation for elastic wave 142
Wave equation for electromagnetic waves 206
Wave equation for sound waves 162
Wave equation for string 124 140
Wave equation for transmission line 219
Wave equation scalar 1331—1583
Wave equation scalar and Cauchy conditions 683 704
Wave equation scalar and Dirichlet conditions 686 704
Wave equation scalar and elliptic coordinates 1407
Wave equation scalar and hyperbolic equations 685
Wave equation scalar and parabolic coordinates 1398
Wave equation scalar and polar coordinates 1371
Wave equation scalar and rectangular coordinates 1364 1434
Wave equation scalar and spherical coordinates 1462
Wave equation scalar and spheroidal waves 1502 1512
Wave equation scalar difference equation for 695 703
Wave equation scalar Green’s function for 834—857
Wave equation scalar impedance for 310
Wave equation scalar initial-value problems, solution of 843—847
Wave equation scalar retarded solution of 206 840 873
Wave equation scalar variational principle 306 309
Wave front 145
Wave function, adjoint 1129 1131 1135
Wave generation of electromagnetic waves in duct 1826
Wave guide see “Ducts”
Wave impedance 128 141 220 310
Wave momentum 306 (see also “Field momentum density”)
Wave stress 306
wave velocity see “Velocity wave”
Wavelength for particle wave 225
Wavelength limit, long-, for radiation 1375 1478
Wavelength limit, long-, for scattering 1085 1380 1484
Wavelength limit, short-, for radiation 1375 1478 1537
Wavelength limit, short-, for scattering 1092 1380 1484 1551
Waves in several dimensions 686
Waves in three dimensions 144 (see also “Elastic waves”; “Electromagnetic waves”; “Longitudinal waves”; “Plane waves”; “Sound waves”; “Specific transverse waves”)
Waves shape change of 145 687 844—847
Waves shock 168
Weber functions 1403
Weber functions and Fresnel integrals 1405
Weber functions and harmonic oscillator 1641
Weber functions and Hermite polynomials 1405
Weber functions table of properties 1565
Weierstrass elliptic functions 429
Weighted string 131—134
Whittaker functions 612 672
Width, absorption 1864
Width, effective 1379
Width, scattering 1864
Width, total 1864
Wiener — Hopf method 978
Wiener — Hopf method and termination of duct 1529
Wiener — Hopf method factorization and 979 987
Wiener — Hopf method illustrations 981—990
Wiener — Hopf method inhomogeneous form of 990
Wiener — Hopf method Milne equation and 182 985 1625
Wiener — Hopf method reflection in lined duct 1522
WKBJ method 1092—1106
WKBJ method and integral equations 1094
WKBJ method and turning points, classical 1093
WKBJ method and turning points, closely spaced 1103
WKBJ method and turning points, widely spaced 1095
WKBJ method connection formulas 1096—1098
WKBJ method extension by Imai 1162
WKBJ method for bound systems 1098
WKBJ method for Mathieu functions 1414
WKBJ method for penetration through potential barriers 1099
WKBJ method for radial equations 1101
World line 93
wronskian 524
Wronskian evaluation of 827
Wronskian for Bessel functions 1564
Wronskian for Bessel functions spherical 1484
Wronskian for confluent hypergeomctric function 613
Wronskian for Legendre functions 599 1328
Wronskian for Mathieu functions, radial 640 1571 1572
Wronskian for spheroidal functions 1578
Wronskian for toroidal harmonics 1330
Wronskian for Weber functions 1567
Young’s modulus 72 1843
Yukawa potential, Born approximation for scattering 1082 1707
Zeros of Bessel functions 1565 1576
Zeros of elliptic functions 428
Zonal harmonics 1264
Zonal harmonics table of properties 1326
Zonal harmonics table of values 1920
Zonal vector harmonics, table of properties 1900
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