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| Авторизация |
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| Morse P.M. — Methods of theoretical physics |
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| Предметный указатель |
Cartesian coordinates and Laplace equation 1175
Cartesian coordinates and Laplace equation, and conformal transformation to polar coordinates 1223
Cartesian coordinates and Laplace equation, and heat flow in rectangular prism 1178
Cartesian coordinates and Laplace equation, and potential between two planes 1176
Cartesian coordinates and Laplace equation, Green’s function for 1175 1179 1256 1258
Cartesian coordinates and Laplace equation, in three dimensions 1256 (see also Rectangular coordinates)
Cauchy boundary conditions 495 678
Cauchy boundary conditions, and elliptic equations 689 702
Cauchy boundary conditions, and hyperbolic equations 683 704
Cauchy boundary conditions, and parabolic equations 705
Cauchy — Riemann equations 357 1186
Cauchy — Riemann equations, and conformal mapping 359
Cauchy — Riemann equations, and electrostatics 353
Cauchy — Riemann equations, and fluid flow 156
Cauchy — Riemann equations, and inverse function 361
Cauchy — Riemann equations, and singularities 358
Cauchy’s convergence test 386
Cauchy’s integral formula 367
Cauchy’s integral formula, and derivatives of analytic function 375
Cauchy’s problem 678
Cauchy’s problem, and characteristic curves 679
Cauchy’s Theorem 363
Cauchy’s theorem, and Cauchy’s integral formula 367
Cauchy’s theorem, and contour deformation 366
Cauchy’s theorem, and electrostatics 354
Cauchy’s theorem, and multiply connected regions 365
Cauchy’s theorem, corollaries of 365
Causality 834 873
Causality, and reciprocity 858
Cavitation 161
Central fields in quantum mechanics, and angular momentum 1661
Central fields in quantum mechanics, and inverse-cube law of force 1665
Central fields in quantum mechanics, and oscillator, three-dimensional 1662
Central fields in quantum mechanics, coulomb potential and 1663
Central fields in quantum mechanics, exponential potential and 1670
Central fields in quantum mechanics, radial equation for 1662
Central fields in quantum mechanics, scattering from 1681
Central fields in quantum mechanics, soluble cases, class of 1671
Chain reaction 1595
Chain reaction, general case, diffusion approximation 1603
Characteristic curves, and Cauchy’s problem 681
Characteristic functions see Eigenfunctions
Characteristic impedance 220
Characteristic values see Eigenvalues
Charge density, exchange 1741
Charge density, for Dirac equation 261
Charge density, for Klein — Gordon equation 318
Charge density, in quantum mechanics 255 344 1639
Charge density, surface 218
Charged particle, force on 205
Charged particle, Lagrangian for 295
Charged particle, moving, field of 212 841
Christoffel symbols 47
Circle, of convergence see Convergence
Circle, radiation from 1373
Circle, waves inside 1372
Circular cylinder coordinates, and Laplace equation 1259
Circular cylinder coordinates, and Laplace equation, and Bessel functions 1259
Circular cylinder coordinates, and Laplace equation, fluid flow in cylinder 1261
Circular cylinder coordinates, and Laplace equation, Green’s function 1263
Circular cylinder coordinates, and Laplace equation, heat flow in cylinder 1259
Circular cylinder coordinates, and Laplace equation, integral representation of eigenfunctions 1262 (see also Polar coordinates)
Circular cylinder coordinates, and separation of variables 514
Circular cylinder coordinates, and separation of variables, table 656
Circular cylinder coordinates, and vector wave equation 1796
Circular cylinder coordinates, and vector wave equation, and elastic waves along bar 1841
Circular cylinder coordinates, and vector wave equation, and field from current loop 1798
Circular cylinder coordinates, and vector wave equation, and Green’s dyadic 1798
Circular cylinder coordinates, and vector wave equation, and vector eigenfunctions 1797
Circular cylinder coordinates, and wave equation 1452
Circular cylinder coordinates, and wave equation, and elastic tube 1459
Circular cylinder coordinates, and wave equation, and membrane in duct 1452
Circular cylinder coordinates, and wave equation, and scattering from cylinder with slit 1387 1392
Circular duct, membrane inside 1452
Circular duct, radiation from end 1529
Circular membrane inside duct 1452
Circular membrane inside duct, transient motion 851
Circular membrane inside duct, variation method for 1149
Circular membrane inside duct, variation-iteration method for 1149
Circulation 1201 1228
Circulation integral 18
Classical mechanics 280—301
Classical mechanics, and angle and action variables 294
Classical mechanics, and canonical transformation 287
Classical mechanics, and conjugate variables 287
Classical mechanics, and Hamilton — Jacobi equation 292
Classical mechanics, and Hamilton’s principle 280
Classical mechanics, and Lagrange function 280
Classical mechanics, and Poisson brackets 290
Classical mechanics, and quantum mechanics 222 292
Classical mechanics, and quantum mechanics, correspondence principle 250
Classical mechanics, for dissipative systems 298
Classical mechanics, for relativistic particles 297
classical turning points 1093 1095 1103
Classification, of differential equations 534
Classification, of functions 381—382
Coherent scattering 1496
Collision, energy loss on 192
Collision, energy loss on, and age equation 197 1599
Collision, energy loss on, and slowing down of particles 196
Commutation rules in quantum mechanics 238
Commutation rules in quantum mechanics, and correspondence principle 250
Commutation rules in quantum mechanics, and measurability 79
Compatibility equation in elasticity 1787
Completeness of eigenfunctions 709 726
Completeness of eigenfunctions, by variational principle 738
Completeness of eigenfunctions, for eigenvectors 717 777
Completeness of eigenfunctions, in several dimensions 756
Completeness of eigenfunctions, of Bessel functions 572
Completeness of eigenfunctions, of Fourier series 571
Completeness of eigenfunctions, of Legendre polynomials 572
Complex conjugate 73 350
Complex index of refraction, scattering from sphere with 1486
complex numbers 350
Complex numbers, and vectors 351
Complex numbers, as operators 73
Complex variables, functions of 348—491
Complex variables, functions of, and analytic functions 353 356—374
Complex variables, functions of, and asymptotic series 434
Complex variables, functions of, and Cauchy — Riemann conditions 353 357
Complex variables, functions of, and conformal mapping 358 443
Complex variables, functions of, and electrostatics 352
Complex variables, functions of, and elliptic equation 688
Complex variables, functions of, and elliptic functions 428
Complex variables, functions of, and Fourier transforms 461
Complex variables, functions of, and gamma functions 419
Complex variables, functions of, classification of 381
Complex variables, functions of, integration of 353 362
Complex variables, functions of, singularities of 358 480
Complex variables, functions of, table of properties 480
Complex vector space 81
Compressibility modulus 162
Compressible flow 162—171
Compressible flow, irrotational 163
Compressible flow, linear approximation for 167
Compressible flow, Mach number 165
Compressible flow, shock waves 168
Compressible flow, subsonic and supersonic 165
Compressible flow, wave equation 162
Compressional waves in fluid 343
Compressional waves in fluid, and acoustic admittance 311
Compressional waves in fluid, and acoustic impedance 310
Compressional waves in fluid, Lagrange density for 308
Compressional waves in fluid, momentum density for 309
Compressional waves in fluid, plane wave of 311
Compressional waves in fluid, stress-energy tensor 309 312
Compressional waves in fluid, wave equation for 162 (see also Longitudinal waves)
Concentrated force on string 122
Concentration point, and conformal mapping 499
Concentration point, and coordinate geometry 504
| Condenser, parallel-plate 1244
Condenser, variable 1247
Conductance 300
Conductance matrix 1370
Conductivity, finite losses due to 1828
Conductivity, finite losses due to, and  of cavity 1851
Conductivity, finite losses due to, and attenuation in ducts 1830
Conductivity, finite losses due to, in scattering 1863 1885
Conductors 207
Conductors, and relaxation oscillations 208
Conductors, boundary conditions of electromagnetic field on 217 1817
Confluence of singularities 515
Confluence of singularities, and confluent hypergeometric equation 551
Confluent hypergeometric function 551—555 604—619
Confluent hypergeometric function, and Bessel functions 619
Confluent hypergeometric function, and coulomb wave functions 632
Confluent hypergeometric function, and Hermite polynomials 786
Confluent hypergeometric function, and Laguerre polynomials 785
Confluent hypergeometric function, asymptotic behavior of 552 608 611
Confluent hypergeometric function, integral representation of 605 607
Confluent hypergeometric function, of second kind 615
Confluent hypergeometric function, of second kind, and functions of third kind 612
Confluent hypergeometric function, of second kind, integral representation 613
Confluent hypergeometric function, of second kind, series for 617
Confluent hypergeometric function, series for 544
Confluent hypergeometric function, Stokes’ phenomena 609 611
Confluent hypergeometric function, Wronskian 612
Conformal mapping 358 443—452 1793
Conformal mapping, and electrostatics 443
Conformal mapping, and inversion 451
Conformal mapping, and Laplace equation 1175 1216
Conformal mapping, and propagation in ducts 1448
Conformal mapping, and Schwarz — Christoffel transformation 445 1243
Conformal mapping, and separation of variables 499
Conformal mapping, of polygon 455
Congruent points for doubly periodic functions 427
Conical coordinates 659
Conjugate dyadic 55 60
Conjugate momentum 229
Conjugate of complex number 350
Conjugate operators 880
Conjugate variables 229 287
Connection formulas for WKBJ method 1096—1098
Connectivity 363
Conservation theorems for fields 305 343
Constants of motion, classical and quantum 250
Constriction of duct 1834
Contact transformation 288
Continuation, analytic see Analytic continuation
Continued fractions 557
Continuity, equation of 100
Continuity, equation of, and diffusion 172
Continuity, equation of, for distribution function 176
Continuity, equation of, for fluid flow 153
Continuity, equation of, for particles 1614
Continuity, equation of, for Schroedinger equation 1639
Continuity, equation of, for stress-energy tensor 310 343
Continuous distribution of eigenvalues 762—766
Continuous distribution of eigenvalues, for Schroedinger equation 768
Contour integration, and Cauchy’s theorem 362
Contour integration, and electrostatics 353
Contours, deformation of 366
Contours, deformation of, in method of steepest descents 438
Contours, deformation of, smooth 362
Contracted tensor 46 55
Contravariant tensor 46 55
Contravariant vector 30 44
Convergence, circle of 376
Convergence, circle of, behavior of power series on 385
Convergence, hypergeometric series 388
convergence, in the mean 458
Convergence, of Feenberg formula 1015
Convergence, of iteration-perturbation method 1005 1020 1026
Convergence, of long-wavelength approximation 1091
Convergence, of perturbation theory, for boundary changes 1056
Convergence, of perturbation theory, for boundary changes, special case 1062
Convergence, of perturbation theory, for scattering 1074—1076
Convergence, of variation-iteration method 1028 1142
Convergence, radius of 376
Convergence, radius of, and analytic continuation 377
Convergence, radius of, determination of 386
Converging waves 146
Coordinate geometry 504
Coordinate operator 235
Coordinate operator, and momentum operator 238 241
Coordinate operator, eigenvectors for 235
Coordinate systems, and Laplace equation, bipolar 1210
Coordinate systems, and Laplace equation, cartesian 1175 1256
Coordinate systems, and Laplace equation, circular cylinder 1259
Coordinate systems, and Laplace equation, elliptic 1195
Coordinate systems, and Laplace equation, parabolic 1207
Coordinate systems, and Laplace equation, polar 1183
Coordinate systems, and wave equation, elliptic 1407
Coordinate systems, and wave equation, parabolic 1398
Coordinate systems, and wave equation, polar 1371
Coordinate systems, and wave equation, rectangular 1364
Coordinate systems, and wave equation, spherical 1462
Coordinate systems, and wave equation, spheroidal 1502 1512
Coordinate systems, separable 494—523 647—648
Coordinate systems, separable, table 656—666
Coordinate transformations 4 24
Coordinates, curvilinear see Curvilinear coordinates
Coordinates, Hylleraas 1737
Coordinates, normal 76
Coordinates, right- and left-handed 10 23
Coordinates, spherical see Spherical coordinates
Coordinates, spheroidal 514 661
Correspondence principle 250
Cosine Fourier transforms 455
Coulomb wave functions 550 553 631 1664
Coulomb wave functions, and confluent hypergeometric function 632
Coulomb wave functions, and energy levels of hydrogenic atoms 632 1664
Coulomb wave functions, and Rutherford scattering 1669
Coulomb wave functions, and Stark effect 1676
Coulomb wave functions, asymptotic behavior 632 1664
Coulomb wave functions, for parabolic coordinates 1667
Coulomb wave functions, in momentum space 1679
Coulomb wave functions, second solution 633
Coupled oscillator 76 1718
Covanent vector 30 44
Covariant derivative 48
Covarient tensor 45 55
Cross section 178 1545 1681
Cross section, absorption 181 1488 1886
Cross section, differential 1066 1706
Cross section, extinction 1488
Cross section, momentum transfer 188 193
Cross section, scattering 178 1066 1681
Cross section, total 181
Cross section, total, and forward scattering 1069 1546
Cross section, transport 188
Curl 39 50
Curl, in orthogonal coordinates 42
Curl, in tensor notation 50
Current density 203
Current density, and magnetic fields 203
Current density, for Dirac equation 261 337
Current density, for Klein — Gordon equation 318
Current density, for Schroedinger equation 255 344 1639
Current density, four-vector 208
Current density, longitudinal part of 211
Current loop, radiation from 1881
Currents, fields due to 1788 1791 1798 1803
Currents, forces on 203 205
Currents, induced 1887
Currents, radiation from 1875
Curvature of coordinate lines 26 47
Curvilinear coordinates 21—31
Curvilinear coordinates, stress for elastic waves in 1841
Curvilinear coordinates, table of properties 115
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