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| Margenau H., Murphy G.M. — The mathematics of physics and chemistry |
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| Предметный указатель |
Quotient group 549
Radiation theory 400
Radioactive decay 33 43
Radioactive decay, emission 439
Radius vector 153
Rainville 88
Raman effect 585
Random walk 439 442
Randomness, criterion of 435
Rank of tensor 162 600
Raphson — Newton method for algebraic equations 492
Raphson — Newton method for algebraic equations, roots of a polynomial 494
Rate of solution 35
Rayleigh — Schrodingcr perturbation formula 389
Reaction, bimolecular 36
Reaction, consecutive 40
Reaction, homogeneous 36
Reaction, opposing 40
Reaction, order of 37
Reaction, rate 37
Reaction, termolecular 36 40
Reaction, unimolecular 36
Real eigenvalues 345
Reciprocal matrix 309
Reciprocal matrix, parallelepiped 352
Reciprocal matrix, vectors 193
Recurrence formula 72
Reduced mass 413
Reducible representation 550
Reduction of group representations 552
Reed 24 483
Reflection coefficient of potential barrier 356
Reflection coefficient of potential barrier, rotary 325
Regular points of a differential equation 71
Relative coordinates 411
Relative coordinates, frequencies of measured values 346
Relative coordinates, frequency 435
Relative coordinates, velocity 289
Relativity, theory of 171
Representation of groups 550
Representation, associated 560
Representation, irreducible 550
Representation, orthogonality of 551
Representation, reducible 550
Representation, self-associated 560
Representative point 442
Residuals and precision measures 513
Residue 89
Residues, theorem of 89
Resistance 42
Resolvent of an integral equation 522
Resonance catastrophe 55
Reversion of series 471
Rigid body, definition of 284
Rigid body, most general motion of 285
Rigid body, rotation of 285
Rigid body, translation of 285
Ritz method 377 379
Robertson 176
Robinson 495 497
Rodrigues 287
Rodrigues’ formula 102
Rojanki 429
Root mean square error 510
Roots of Legendre polynomial 480
Roots of Legendre polynomial, matrix, characteristic 319
Roots of Legendre polynomial, polynomial, numerical determination of 494 495
Roots of Legendre polynomial, secular determinant 500
Rope, suspended 543
Rosenthal 574
Rossini 31
Rotary reflection group 570
Rotation 171
Rotation of a rigid body 285
Rotation, axis of 285
Rotation, group three-dimensional 565
Rotation, improper 324 325 569
Rotation, proper 324 325
Rotation, two-dimensional 570
Rotation, vector 152
Rotations as groups 566
Rotator, quantum mechanical treatment 360
Rotator, rigid 300
Ruark 429
Rule, Simpson’s 477
Rule, trapezoidal 477
Runge — Kutta method for differential equations 486
Rushbrooke 466
Rutherford 171
Rutledge 473
Saddle point 460
Sayvetz 291
scalar 137 163
Scalar product 141 311
Scalar product, Hermitian 329
Scalar product, triple 146
Scalar, field 149
Scalar, Gradient of 150
Scalar, point function 149 174
Scarborough 471 495 519
Schiff 429
Schlaefli’s formula 102 103 105
Schmidt 71
Schmidt — Hilbert method for integral equations 528
Schmidt, orthogonalization method for functions 273
Schmidt, vectors 312
Schoenflies 574 586
Schoenflies, system of group notation 576
Schrddinger 186 429 466
Schreier 332
Schrodinger equation 176 213 341
Schrodinger equation and group theory 582
Schrodinger equation of free mass point 350
Schrodinger equation, involving time 393 394
Schwank 521
Schwarz’ inequality 134 348
Second order differential equations 48
Second order differential equations, numerical solution of 490
Second order perturbation 389
Secular determinant 421 500
Seitz 81 430 578
Self-adjoint differential equation 268
Self-adjoint differential equation, operator 267
Self-associated representation 560
Separation of center-of-mass coordinates 411
Separation of center-of-mass coordinates of variables, method of 176 218 220 231
Series, integration 59
Series, Liouville — Neumann 521
Series, method for differential equations 483
Series, reversion of 471
Shaw 18 519
Shearing strain 170
Sherwood 24 483
Significant figures 467
Similarity transformation 317 318
Simpson’s rule 477
Simultaneous differential equations, eigenstates 348
Simultaneous differential equations, equations, numerical solution of 493 497
Simultaneous differential equations, numerical solution of 489
Single-valuedness 336
Singlet states 423
Singular point of a differential equation 70
Singularity, essential 71
Singularity, non-essential 71
Skew product 143
Skew product, symmetric matrix 310
Skew product, symmetric tensor 164
Skortley 422 429
Slater 17 429
smith 300
| snapshot 334
Sneddon 267 429
Soap film 39
Sokolnikoff, E. S. 59
Sokolnikoff, I. S. 59
Solution of differential equations of integral equations 521 532
Solution of differential equations of simultaneous equations, numerical 493 497
Solution of differential equations of transcendental equations, numerical 491
Solution of differential equations, numerical 482
Solution, rate of 35
Solution, singular 47
Sommerfeld 119 245 353 398 429
Space, Hermitian vector 328
Space, linear vector 310
Spain 171
Special functions, Cauchy — Riemann 90
Special functions, Cauchy’s theorem 90
Spectroscopy, molccular 585
Speiser 552 554 555
Sperher 332
Sphere, moving through incompressible fluid 224
Sphere, oscillating 235
Spherical harmonic 235 362
Spherical harmonic, polar coordinates 177 191
Spheroidal coordinates, oblate 182
Spheroidal coordinates, prolate 180
Spin angular momentum 403
Spin angular momentum in two-body problem 422
Spin angular momentum, coordinate 403
Spin angular momentum, degeneracy 409
Spin angular momentum, displacement operators 407
Spin angular momentum, energy 408
Spin angular momentum, function 405
Spin angular momentum, matrices 405 566
Spin angular momentum, operator 405
Spin angular momentum, vector 405
Spinning electron 402
Spread of measurements 349
Standard deviation 349 437 602
Stark effect 186 391
State, function 336
State, intuitive meaning of 343 347
State, quantum mechanical 316
State, time-dependent 393
Stationarity condition 200
Stationary path 198
Stationary path, states 337
Statistical mechanics 431
Steepest descents, method of 459
Stehle 282
Steiner 1 31
Step function 239
Stirling’s formula 436
Stirling’s formula, interpolation formula 470
Stirling’s formula, theorem 97
Stokes’ Theorem 157
strain 161 169 170
Stratton 119 256
Strength, field 161
Stress 161
String, homogeneous vibrating 542
Sturm — Liouville equation 534 538
Sturm — Liouville equation, theory 267 280 342
Subgroup 546
Subgroup, conjugate 548
Subgroup, invariant 548
Sublimation 38
Subtraction of matrices 306
Sum of State 452
Sum of state of tensors 164
Sum of state of vectors 141
Surface, coordinate 172
Surface, element 173 192
Surface, integral 156
Surface, tension 39
Suspension bridge 57
Symbol, Christoffel three-index 167 196
Symmetric eigenfunctions 416
Symmetric eigenfunctions, group 558
Symmetric eigenfunctions, kernel 528
Symmetric eigenfunctions, matrix 310
Symmetric eigenfunctions, state function 455
Symmetric eigenfunctions, tensor 164
Symmetric eigenfunctions, top 368
System, conservative 283
System, thermodynamic 442
Tallquist 136
Tamarkin 245
Taylor 465 478 492
Taylor series 102
Taylor series method for differential equations 483
Temperature 29
Tension strain 170
Tensor notation, curl in 197
Tensor notation, differential operators in 195
Tensor notation, divergence in 196
Tensor notation, gradient in 196
Tensor notation, Laplacian in 197
Tensor, Associated 167
Tensor, component of 162
Tensor, contraction of 166
Tensor, contravariant 163
Tensor, covariant 163
Tensor, covariant derivative of 169
Tensor, differentiation of 167
Tensor, first rank 162
Tensor, length of 166
Tensor, mixed 163
Tensor, product 165
Tensor, product, inner 166
Tensor, skew-symmetric 164
Tensor, symmetric 164
Tensors in curvilinear coordinates 192
Tensors in curvilinear coordinates, difference of 164
Tensors in curvilinear coordinates, perpendicular 166
Tensors in curvilinear coordinates, sum of 164
ter Haar 466
Theorem of divergence 159
Theorem of residues 457
Theorem, Gauss 159
Theorem, Green’s 161
Theorem, Stokes 157
thermal conductivity 35
Thermal conductivity, flux 151
Thermodynamic derivatives 15
Thermodynamic derivatives, laws of 11
Thermodynamic derivatives, potential, Gibbs 14
Thermodynamic derivatives, relations 450
Thermodynamic derivatives, second law of 13
Thermodynamic derivatives, system 442
Thermodynamic derivatives, variables 1
Thomas, L. H. 491
Thomas, T. F. 171
Thomson 207
Three-index symbol, Christoffel 167
Time-dependent states 373
Titchmarsh 252 267
Tobolsky 17
toeplitz 543
Tolman 431 443 466
Top spherical 371
Top spherical, symmetrical 368
Toroidal coordinates 190
Torrance 59 156
Total differentials 3 8
Trace 554
Trace of matrix 308
Trambarulo 300
Transcendental equations, numerical solution of 491
Transform in solving differential equation 263
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