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Goertzel G. — Some Mathematical Methods of Physics

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Название: Some Mathematical Methods of Physics

Автор: Goertzel G.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1960

Количество страниц: 312

Добавлена в каталог: 09.12.2012

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Предметный указатель

Oberhettinger, F.      145 294
Operator,       133
Operator, $L^{2}$       133 148
Operator, $L_{+}$       149
Operator, $L_{-}$       149
Operator, $L_{x}$       148
Operator, $L_{y}$       148
Operator, $L_{z}$       147
Operator, $L_{z}$ , eigenfunction of      152—154
Operator, $L_{z}$ , eigenvalues of      149—152
Operator, $\partial^{+}$       132—135
Operator, $\partial^{-}$       132—135
Operator, adjoint      60 103
Operator, difference      79—80
Operator, differential      108—109
Operator, function of      105—106
Operator, hermitian      70
Operator, identity      60
Operator, in continuous systems      96—110
Operator, in dual space      58
Operator, kernel of      98
Operator, Legendre      148
Operator, normal      61
Operator, spectral representation of      60 70
Order of diffraction      196
Orthogonal matrix      56
Orthogonality, of Bessel functions      140
Orthogonality, of eigenfunctions      104—105
Orthonormality condition      54
Orthonormality condition, for spherical harmonics      153
Parodi, M.      49
Partial waves, method of      185—188
pass method      288
Pauling, L.      224
Periodic structures      73—80
Perturbation of eigenvalues      201—208
Perturbation of eigenvalues, for degenerate systems      207—208
Perturbation of eigenvalues, for nondegenerate systems      203—207
Phase shift      188
Phase shift, Born approximation for      190—192
Phase shift, variational principle for      234—235
Pole      257
Polygenic function      254
Prasad, G.      164
Radiation condition      176
Radiation problem      176
Radiation problem, Green’s function solution of      177— 179
Radiation, far from source      180—181
Radiation, from infinitely long cylinder      181— 183
Rank of a matrix      18
Rayleigh variational principle      212—213
Rayleigh, Lord      212
Rectangular matrix      7
Rectangular membrane      130—131
Recurrence formulas, for cylindrical functions      135—136
Recurrence formulas, for spherical functions      157
Recurrence formulas, for spherical harmonics      158—159
Residues, theorem of      259—260
Ritz method      215—223
Ritz, W.      215
Rodrigues’s formula      154
Rojansky, V.      66
Rotation of coordinates      55
Saddle point      288
Saddle-point method      287
Scattering      183—196 234—235
Scattering amplitude      184
Scattering cross section      184
Scattering, by square well      188—189

Schafheitlin, P.      145 293
Schiff, L. I.      197 210
Series, asymptotic      287—291
Series, Fourier      272—275
Shortley, G. H.      154 159
Singular matrix      14
Singular point      256
Singularity      256—257
Skew-symmetric matrix      8
Slater, J. C.      95
Sneddon, I. N.      279
Sommerfeld, A.      175 197
Spectral representation, of matrix      26
Spectral representation, of operator      60 70
Spectrum of matrix      26
Spherical Bessel functions      157
Spherical Hankel functions      157
Spherical harmonics      153
Spherical harmonics, addition theorem      161
Spherical harmonics, orthonormality condition for      153
Spherical harmonics, recurrence relations for      158—159
Spherical Neumann functions      157
Square matrix      7
State vector      50
Stationary expression for an eigenvalue      211
Steepest descent, method of      288
String, loaded      78—79 241—242
String, vibrating      93—94 121 206 213—215 221—223 236-239
Superposition principle      23
Symbolic function      98
Symmetric matrix      8
Theorem of residues      259—260
Thrall, P. M.      66
Titchmarsh, E. C      279
Tomheim, L.      66
transform      267
Transform, Fourier      92 266—275
Transform, Fourier — Bessel      276
Transform, Hankel      276
Transform, Laplace      44—45
Tranter, C. J.      279
Unit matrix      11
Unitary basis      54
Unitary matrix      56 64
Variables, complex      254—260
Variational principles      211—219
Variational principles, difference equation from      239—241
Variational principles, for phase shift      234—235
Variational principles, Rayleigh      212—213
Variational principles, Ritz      215—219
Vector space, dual      53
Vector, base      52—54 (see also Basis)
Vector, bra      67
Vector, ket      67
Vibrating circular membrane      141—143
Vibrating circular ring membrane      143
Vibrating circular sector membrane      143—144
Vibrating rectangular membrane      130—131
Vibrating string      93—94 121 206 213— 215 221—223 236-239
Watson, G. N.      145 294
Wave equation, one-dimensional      115—116 123
Wave equation, three-dimensional      147 162—163
Wave equation, two-dimensional      130—131
Webster, A. G.      175
Weinstein, D. H.      213
Weyrich, R.      145 294
Widder, D. V.      49
Wiener, N.      279
Wilson, E. B.      224
Zero matrix      11

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