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| Margenau H., Murphy G.M. — The mathematics of physics and chemistry |
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| Предметный указатель |
Mathieu 296 299
Mathieu’s differential equation 78
Matrices, addition of 306
Matrices, conformable 306
Matrices, direct product of 307
Matrices, equivalent 316
Matrices, multiplication of 306
Matrices, subtraction of 306
Matrix, adjoint 309
Matrix, associate 310
Matrix, characteristic 318
Matrix, characteristic roots of 319
Matrix, definition of 305
Matrix, diagonal 308 371 391
Matrix, diagonalization of 319 331
Matrix, eigenvalues of 319
Matrix, eigenvectors of 319
Matrix, hermitian 310 329 371
Matrix, mechanics 371
Matrix, method of solution for secular determinants 502
Matrix, non-singular 562
Matrix, null 307
Matrix, orthogonal 310
Matrix, partition of 307
Matrix, rank of 306
Matrix, reciprocal 309
Matrix, rectangular 306
Matrix, singular 305
Matrix, symmetric 310
Matrix, symmetric and skew symmetric 310
Matrix, trace of 308
Matrix, transform of 317
Matrix, transposed 309
Matrix, unit 308
Matrix, unitary 310 330
Maxima in a tabulated function 472
Maximum area 210
Maximum area, volume 211
Maxwell 15 185 190
Maxwell — Boltzmann, distribution law 449 456
Maxwell’s relations 15
Mayer, J. E. 431 466
Mayer, M. 0 342 431 466
McConnell 171
McLachlan 136
Mean in phase space 445
Mean in phase space of a function 436
Mean in phase space of aggregate of measurements 336
Measure of precision 441
Measurements, rejection of 516
Measurements, weight of 514
Mechanical work 142
Mechanics 180 282
Mechanics, statistical 431
Meister 585
mellin 526
Mellin transformation 259
Mellor 494
Membrane, vibrating circular 254
Method of averages for empirical formulas 516
Method of averages for empirical formulas, iteration for algebraic equations 493
Method of averages for empirical formulas, least squares 517
Method, Gauss 479
microcanonical ensemble 446
Microscopic state 453
Milne — Thomson 180 190
Milne, E. A. 171
Milne, W. E. 498 499 519
Milne’s method for differential equations 489
Minima in a tabulated function 472
Minimum value of integral 198
Minimum value of integral, surface of revolution 203
Minor of determinant 303
Mixed tensor 163
Mixed-continuous group 562
Mobius strip 156
Molecular spectroscopy 585
Molecule of a probability distribution 437
Molecule of aggregates of measurements 346
Molecule of inertia 286
Molecule of momentum 285
Molecule, diatomic 582
Molecule, motion of 290
Molecule, polyatomic 282
Molecule, potential energy of a 295
Molecule, quantum mechanical Hamiltonian of a 299
Molecule, rotational motion of a 292
Molecule, space 443
Molecule, translational motion of a 291
Molecule, vibrational energy of a 294
Molecule, vibrational frequency of a 296
Molecule, vibrational motion of a 291
Moment of a force 145
Moment theorem 437
Momentum, angular 285
Momentum, generalized 283
Momentum, moment of 285
Morse 171 176 215 256 281 342 429 521 526 543
Motion, Hamilton’s equations of 284
Mott 429 430
Mu-space 443
Muir 302 332
Multiplication 262
Multiplication of determinants 304
Multiplication of determinants, matrices 306
Multiplication of determinants, tensors 165
Multiplication table of a group 546
Multipole expansion 100
Multipole moment 101
Multipole strength 101
Murnaghan 266 543 555 564 586
Murphy 574
Murray 585
Muskhelishvili 544
NBS Mathematical Tables Project 136
Nebengruppe 548
Negative kinetic energy 358
Neumann function 76
Neutrons 418 508
Newton — Cotes formula 476
Newton — Raphson for algebraic equations 492
Newton — Raphson for algebraic equations, regiila falsi for algebraic equations 491
Newton — Raphson, method for algebraic equations 492
Newton — Raphson, roots of a polynomial 494
Newton’s binomial expansion 433
Newton’s laws of 191 282
Newton’s laws of a molecule 290
Nielsen, H. H. 300
Nielsen, N. 120 136
Non-orthogonal coordinate systems 192
Non-singular matrices 562
Normal coordinates 292 326
Normal coordinates, divisor 548
Normal coordinates, mode of vibration 296
Normalization of functions 249
Nucleus of an integral equation 520
Nucleus, atomic 282
Numbers, Bernoulli 474
Numerical determination of roots of polynomial 494
Numerical determination of roots of polynomial, differentiation 472
Numerical determination of roots of polynomial, evaluation of determinants 499
Numerical determination of roots of polynomial, integration 473
Numerical determination of roots of polynomial, secular determinants 500
Numerical determination of roots of polynomial, simultaneous equations 493—497
Numerical determination of roots of polynomial, solution of differential equations 482
Numerical determination of roots of polynomial, transcendental equations 491
Oberhettinger 136 177 252 267
Oblate spheroidal coordinates 182
Observability, essential 334
Observable 335 338
| Occupation numbers 453
Odd function 103
Operand 337
Operations composing crystallographic groups 574
Operator 48 336 338
Operator in tensor notation 195
Operator, commuting 348
Operator, equation 337
Operator, hermitian 269 374
Operator, vector 174
Orbital 422
Order of a differential equation 32
Order of a differential equation, group 546
Order of a differential equation, group element 546
Ordinary differential equations 32
Orthogonal coordinate system 173
Orthogonal coordinate system, matrix 310
Orthogonal coordinate system, transformation 317 324
Orthogonality of functions 248
Orthogonality of functions, quantum mechanical eigenfunctions 344
Orthogonalization of vectors 312
Orthohelium 423
Orthonormal functions 249
Oscillation, forced 54
Oscillation, natural 52
Oscillator, an harmonic 59
Oscillator, by matrix mechanics 371
Oscillator, harmonic 125 207 300
Oscillator, quantum mechanical treatment 358
Outer product of vectors 143
Outer product of vectors, tensors 165
Page 56 140 210
Parabolic coordinates 185 186
Paraboloidal coordinates 184
Parameters 287
Parameters, Cayley — Klein 287
Parhelium 423
Parington 31 171
Partial differentiation 1
Partial differentiation, differential equation 216
Particle vs. wave 335
Particle, concept of 334
Particle, free 282
Particles, restricted 282
Particles, system of n free 282
Particular integral 53
Particular integral, solution 33
Partition function 452 465
Partition function of a permutation 559
Paul 31
Pauli 417
Pauli, principle 411
Pauli, spin theory 402
Pauling 177 367 382 387 429 430
Peirce 59
Periodicity as boundary condition 273
Perlis 332
permutations 431 549
Permutations, even 417
Permutations, odd 417
Perturbation theory 387
Pfaff differential equation 28 82
Phaae 25
Phaae, integral 452
Phase, rule 25
Phase, space 442
Phase, velocity 228 398
Phillips 141 586
Photon 418
Physical system 335
Picard method for differential equations 484
Planck’s constant 338
Plane, potential due to charged 225
Planetary 182
Plummer 507 513
Point function 8
Point function, scalar 149 174
Poisson’s equation 237 242
Poisson’s equation, formula 441
Polar coordinates, spherical 177 191
Polar coordinates, vector 165
Polarizability, atomic 392
Polarization, electric 56 161
Polyatomic molecule 282
Polygon, rotation of 572
Polynomial for solution of secular determinants 500
Polynomial, complex roots of 495
Polynomial, homogeneous 317
Polynomial, method, differentiation by 473
Polynomial, numerical determination of roots 494
Polynomial, roots of the Legendre 480
Postulates of quantum mechanics 337
Potential due to conducting sphere 224
Potential due to conducting sphere, charged cylinder 225
Potential due to conducting sphere, charged plane 225
Potential, chemical 25
Potential, electrostatic 217 224
Potential, energy 176 283 295
Potential, theory 180 191
Potential, thermodynamic 14
Potential, velocity 217 224
Precision index 441 505
Precision index, measures of 441 510 513
Prigogine 31
Principal axis transformation 326
Principle of least squares 506
probability 435
probability distribution 438
Probability distributions 436
Probability distributions, arithmetical 436
Probability distributions, continuous 436
Probability distributions, discrete 436
Probability distributions, geometrical 436
Probability, aggregate 435
Probability, amplitude 347 402
Probability, density 436
Probability, of phase 444
Probability, theory 435
Probable errors 510
Probable errors of a function 515
Product of tensors inner 166
Product of tensors outer 165
Product of vectors cross 143
Product of vectors cross, dot 141
Product of vectors cross, inner 141
Product of vectors cross, outer 143
Product of vectors cross, scalar 141 311
Product of vectors cross, scalar, triple 146
Product of vectors cross, skew 143
Product of vectors cross, three vectors 146
Product of vectors cross, triple vector 147
Product of vectors cross, vector 142
Product, Hermitian scalar 329
Product, of inertia 286
Projectile 40
Prolate spheroidal coordinates 180
Proper rotation 325
Property in probability theory 435
Protons 418
Quadratic form 317
Quadratic form, discriminants of 323
Quadrature, approximate 474
Quadrature, formulas, general remarks 481
Quadrupole moment 101
Quadrupole, potential due to 228
Quantum dynamics 337
Quantum dynamics, mechanics, general discussion 333
Quantum dynamics, number, total 366
Quantum dynamics, statics 337
Quantum mechanical treatment 363
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