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| Morse P.M. — Methods of theoretical physics |
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| Предметный указатель |
Stress-energy tensor, for electromagnetic field 216 328
Stress-energy tensor, for Klein — Gordon equation 317
Stress-energy tensor, for Schroedinger equation 315
Stress-energy tensor, for sound waves 312 343
Stress-energy tensor, for string 305
Stress-energy tensor, for vector fields 319
Stress-energy tensor, symmetrization of 338
String, elastically braced 138 (see also Klein — Gordon equation)
String, flexible 120—141 302—306 1335—1349
String, flexible, static 120—123
String, flexible, static, equation for 121
String, flexible, static, Green’s function for 123
String, flexible, variational principle for 302 343
String, flexible, vibrating 124—142 302—306 1335—1349
String, flexible, vibrating, and Fourier series 135
String, flexible, vibrating, energy flow in 127 305
String, flexible, vibrating, energy of 126 305
String, flexible, vibrating, equation of 124 125 304
String, flexible, vibrating, forced motion of 129
String, flexible, vibrating, Green’s function for 125 1336
String, flexible, vibrating, impedance, effective 128
String, flexible, vibrating, in sphere 1472
String, flexible, vibrating, Lagrange density for 302
String, flexible, vibrating, momentum density, canonical 304
String, flexible, vibrating, reflection coefficient for 130
String, flexible, vibrating, standing-wave ratio 130
String, flexible, vibrating, stress-energy tensor 305
String, flexible, vibrating, transient response 131 1333—1343
String, flexible, vibrating, with elastic support 1343
String, flexible, vibrating, with friction 137 1335 1341
String, flexible, vibrating, with movable supports 1359
String, flexible, vibrating, with nonrigid supports 1344 1359
String, flexible, wave momentum 306
String, flexible, wave momentum, stress 306
String, flexible, wave momentum, velocity 124
String, flexible, weighted 131
String, flexible, weighted, and limit to continuous string 134
String, flexible, weighted, normal modes 134
String, flexible, weighted, operator equation for 131
Strips inside rectangular enclosure 1435
Strips inside rectangular enclosure, radiation from 1423
Strips inside rectangular enclosure, radiation from, carrying current 1425
Strips inside rectangular enclosure, scattering by 1428
Strips inside rectangular enclosure, scattering by, by variational method 1549
Structure factor 1691 1742
Struve function 1324
Sturm — Liouville equation 719—748
Sturm — Liouville equation, asymptotic formulas for 739
Sturm — Liouville equation, density function for 728
Sturm — Liouville equation, eigenfunction series for 726
Sturm — Liouville equation, eigenfunction series for, and Fourier series 743
Sturm — Liouville equation, eigenvalues of 721—724
Sturm — Liouville equation, factorization of 729 788—790
Sturm — Liouville equation, Green’s function for 832
Sturm — Liouville equation, normalization of 728
Sturm — Liouville equation, orthogonality of 727
Sturm — Liouville equation, oscillation theorems for 721 724
Sturm — Liouville equation, self-adjoint 720
Sturm — Liouville equation, variational principle for 736
Subsonic flow 165
Sum rule, matrix 1742
Summation of series 413
Supersonic flow 161 165—171
Supporting curve 677
Supports of string, movable 1359
Supports of string, nonrigid 1344
Surface charge and boundary conditions 795 807
Surface heating, transient, of slab 1585
Surface integral 16
Surface perturbations 999 1038—1064
Surface waves for two-particle Schroedinger equation 1712 1728
Surface-charge density 218
Surfaces, equipotential 14
Surfaces, isotimic 5
Surfaces, Riemann 401
Susceptance 300
Susceptance, matrix 1370
Symmetric dyadic 58
Symmetric dyadic, eigenvalue problem for 59
Symmetric kernel 908 912 992
Symmetric kernel, and self-adjoint operators 908
Symmetrization of stress-energy tensor 338
Tan  , expansion in partial fractions 384
Tan , tables of values 1913—1917
Tangential solution of vector Helmholtz equation 1766
Taylor series 375
Taylor series, analytic continuation of 377
Taylor series, radius of convergence 376—377 (see also Power series)
Telegraphist’s equation 865
Telegraphist’s equation, Green’s function for 866
Telegraphist’s equation, initial value problem 868
Tension 70
Tensors 44—54
Tensors, and dyadics 54
Tensors, electromagnetic field 209
Tensors, types 46 55
Tensors, vector operators as 50—51 (see also Strain; Stress; Stress-energy tensor)
Tetradics 72
Theta functions 430—433
Theta functions, and Mathieu function 1417
Theta functions, table of properties 489
Three-particle problem in quantum mechanics see Two-particle problems in quantum mechanics
Time dependence of operators 85 249
Time, as parameter 247 248
Time, in quantum mechanics 247—254
Time, proper 93
Time, uncertainty principle for 247
Time-dependent Hamiltonian 251
Time-dependent Schroedinger equation 251
Toroidal coordinates 522 666
Toroidal coordinates, and Laplace equation 1301
Toroidal coordinates, and Laplace equation, Green’s function for 1304
Toroidal coordinates, and separability 522
Toroidal harmonics 1302 1329
Toroidal harmonics, table, of properties 1329
Toroidal harmonics, table, of values 1923
Torsional admittance 1846
Torsional waves, along bar 1841
Torsional waves, along bar, forced motion of 1844
Torsional waves, on sphere 1872
Total cross section 181
Total cross section, and forward scattering 1069 1546
Tractions on surface, of cylinder 1841
Tractions on surface, of sphere 1808 1810 1872
Transfer impedance 285
Transformation function in quantum theory 236—239
Transformation function in quantum theory, equation for 238 239
Transformation function in quantum theory, for vibrating string 135
Transformation, and conjugate variables 287
Transformation, canonical 287
Transformation, conformal see Conformal mapping
Transformation, Lorentz see Lorentz transformation
Transformation, Maggi 1552
Transformation, of operators 85
Transformation, Schwarz — Christoffel 446—451 1244—1251
Transformation, unitary 86
Transforms, and integral equation 942 960 Hilbert
Transforms, generalization of 943
Transient heating of slab 1585 1590
Transient membrane motion 851
Transients 1333—1343
Transients, and Fourier integrals 131 1333
Transients, for vibrating string 131 (see also Initial-value problems)
Transients, in ducts 1441
Transmission see Reflection
transmission line 218
Transmission line, characteristic impedance for 220
Transport cross section 188
Transport equation 187 897 1607 1632 1635
Transverse components of vector field 1761—1763
| Transverse components of vector field, curvilinear coordinated 1764
Transverse eigenfunctions, vector, for circular cylindrical coordinates 1797
Transverse eigenfunctions, vector, for rectangular coordinates 1774
Transverse eigenfunctions, vector, for spherical coordinates 1801 1866
Transverse elastic waves 143 147 1813
Transverse elastic waves, impedance of medium 151
Transverse elastic waves, in curvilinear coordinates 1840
Transverse elastic waves, reflection of 1814
Transverse elastic waves, stresses caused by 149 1813
Transverse electric waves in duct 1819
Transverse electric waves in duct,  of 1852
Transverse electric waves in duct, attenuation of 1831
Transverse electric waves in duct, dispersion of 1820
Transverse electric waves in duct, effective impedance for 1822 1833
Transverse electromagnetic waves 206 211 1812 1819
Transverse Green’s dyadic 1779 1875
Transverse Green’s dyadic, expansion for 1782
Transverse magnetic waves in duct 1822
Transverse magnetic waves in duct, of 1852
Transverse magnetic waves in duct, attenuation of 1831
Transverse magnetic waves in duct, effective impedance for 1823 1833
Trial functions 1107 1117
Trigonometric functions 1320
Trigonometric functions, table of values 1913
Triode 1234
Triple product, scalar 11
Tschebyscheff functions 544 549
Tschebyscheff functions, and Gegenbauer functions 604 782
Tschebyscheff functions, and Legendre functions, associated 604
Tschebyscheff functions, table of properties 780—783
Tubes see Ducts
Two-particle problems in quantum mechanics 1709—1745
Two-particle problems in quantum mechanics, one-dimensional case 1709—1719
Two-particle problems in quantum mechanics, one-dimensional case, and coupled harmonic oscillator 1718
Two-particle problems in quantum mechanics, one-dimensional case, and partly bound states 1713
Two-particle problems in quantum mechanics, one-dimensional case, Green’s functions for 1711
Two-particle problems in quantum mechanics, three-dimensional case 1720—1745
Two-particle problems in quantum mechanics, three-dimensional case, and angular momentum 1720—1723
Two-particle problems in quantum mechanics, three-dimensional case, bound, free, and surface states for 1728 1734
Two-particle problems in quantum mechanics, three-dimensional case, Green’s function for 1730
Two-particle problems in quantum mechanics, three-dimensional case, Hylleraas coordinates for 1737
Two-particle problems in quantum mechanics, three-dimensional case, parity and 1723
Two-particle problems in quantum mechanics, three-dimensional case, particle exchange and 1742
Two-particle problems in quantum mechanics, three-dimensional case, scattering in 1738
Two-particle problems in quantum mechanics, three-dimensional case, scattering in, inelastic 1740
Two-particle problems in quantum mechanics, three-dimensional case, symmetrization of wave function 1724
Uncertainty principle in quantum theory 80 88 226
Uncertainty principle in quantum theory, for conjugate variables 230
Uncertainty principle in quantum theory, for energy and time 247
Uncertainty principle in quantum theory, for harmonic oscillator 246
Uniform field, circular cylinder in 1184
Uniform field, dielectric sphere in 1266
Uniform field, elliptic cylinder in 1199
Uniform field, oblate spheroid in 1293
Uniform field, prolate spheroid in 1286
Uniform field, sphere in 1266
Uniform field, two cylinders in 1211
Uniform field, two spheres in 1300
Unit cell for doubly periodic functions 427
Unit shift operator 132
Unit step function 123 840
Unit step function, integral representation 415
Unitary dyadic 61
Unitary operator 84
Variables, complex see Complex variable
Variables, conjugate 287
Variables, quantum, average value 232 238
Variables, quantum, commutation rules 238
Variables, quantum, conjugate 229
Variables, quantum, independent 233
Variation-iteration (V — I) method 1026—1032 1137—1146 1149 1152 1165
Variation-iteration (V — I) method, convergence of 1028 1140
Variation-iteration (V — I) method, extrapolation method for 1143
Variation-iteration (V — I) method, for circular membrane 1149
Variation-iteration (V — I) method, for lower bounds for eigenvalues 1144 1152
Variation-iteration (V — I) method, in quantum mechanics 1698
Variation-iteration (V — I) method, in quantum mechanics, for exponential potential 1700
Variation-iteration (V — I) method, in quantum mechanics, for scattering 1704
Variation-iteration (V — I) method, inequalities for eigenvalues for 1139 1150
Variation-iteration (V — I) method, Mathieu equation, application 1031
Variation-iteration (V — I) method, minimized iterations and 1155
Variation-iteration (V — I) method, with nonorthogonal functions 1037
Variation-iteration (V-I) method, for Schroedinger equation see Schroedinger equation
Variational integral 276 342
Variational integral, and Euler equations 277
Variational integral, and Lagrange density 276
Variational methods, for distribution functions 1628
Variational methods, for ducts 1517
Variational methods, for ducts, for transmission coefficient 1128
Variational methods, for eigenvalues 1106—1158
Variational methods, for eigenvalues, and perturbation theory 1119
Variational methods, for eigenvalues, for bound states 1114 1117
Variational methods, for eigenvalues, for bound states, for exponential potential 1696
Variational methods, for eigenvalues, for bound states, for helium atom 1734
Variational methods, for eigenvalues, for boundary perturbations 1131 1134 1166
Variational methods, for eigenvalues, for electromagnet resonators 1895
Variational methods, for eigenvalues, for Helmholtz equation 1112
Variational methods, for eigenvalues, for Hermitian operators 1109
Variational methods, for eigenvalues, for higher eigenvalues 1153
Variational methods, for eigenvalues, for integral equations 912 914 993 1120
Variational methods, for eigenvalues, for lowest eigenvalue 737
Variational methods, for eigenvalues, Rayleigh — Ritz method 1117
Variational methods, for eigenvalues, with linear parameters 1116
Variational methods, for eigenvalues, with linear parameters, and secular determinant 1118
Variational methods, for eigenvalues, with nonlinear parameters 1117
Variational methods, for electrostatics 1108
Variational methods, for Helmholtz equation see Helmholtz equation
Variational methods, for inhomogeneous equations 1111
Variational methods, for Laplace equation 1108
Variational methods, for radiation problems 1136
Variational methods, for scattering 1123 1130
Variational methods, for scattering, amplitude 1131 1135 1168 1701 1704
Variational methods, for scattering, for exponential potential 1702
Variational methods, for scattering, for phase shifts 1123—1128 1160 1701
Variational methods, for scattering, for transmission coefficient 1128 1157
Variational methods, for scattering, in quantum mechanics 1123—1131 1135 1168 1170 1695 1701 1704
Variational methods, for scattering, of electromagnetic waves 1898
Variational methods, for Schroedinger equation see Schroedinger equation
Variational methods, for sound 1544
Variational methods, for sound, for hole in infinite plate 1521
Variational methods, for sound, for strip 1549
Variational methods, for two-particle problems 1734
Variational parameters 1107 1116—1118
Variational parameters, linear 1116
Variational parameters, linear, and secular determinant 1118
Variational parameters, nonlinear 1117
Variational principles 275—346
Variational principles, and auxiliary condition 278
Variational principles, for diffusion equation 313
Variational principles, for Dirac equation 335
Variational principles, for distribution functions 1628
Variational principles, for elastic media 322 325
Variational principles, for electromagnetic field 327
Variational principles, for Helmholtz equations 306 1112
Variational principles, for integral equations 912 914 993 1120
Variational principles, for Klein — Gordon equation 316
Variational principles, for Laplace equation 307
Variational principles, for Schroedinger equations 314 344
Variational principles, for Sturm — Liouviile equation 736
Variational principles, for vector field 318
Variational principles, for vibrating string 302 343
Variational principles, tabulation 341—346
Vector diffusion equation 163 1812
Vector diffusion equation, and nonstationary viscous flow 1848
Vector eigenfunctions see Eigenfunctions vector
Vector field, angular-momentum density 321
Vector field, Euler equation 318
Vector field, field intensity 320
Vector field, field momentum density 321
Vector field, stress-energy tensor 319
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