Mathematical Methods for PhysicistsAcademic Press, 1985 - 985 頁 Mathematical Methods for Physicists, Third Edition provides an advanced undergraduate and beginning graduate study in physical science, focusing on the mathematics of theoretical physics. This edition includes sections on the non-Cartesian tensors, dispersion theory, first-order differential equations, numerical application of Chebyshev polynomials, the fast Fourier transform, and transfer functions. Many of the physical examples provided in this book, which are used to illustrate the applications of mathematics, are taken from the fields of electromagnetic theory and quantum mechanics. The He ... |
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a₁ angle angular momentum assume asymptotic b₁ Bessel functions boundary conditions c₁ C₂ Calculate cartesian Chapter Chebyshev coefficients complex components constant contour convergence coordinate system corresponding cosh cosine defined delta function derivatives developed differential equation Dirac Dirac delta function divergence eigenfunctions eigenvalues elements Evaluate example Exercise exponential finite Fourier series Fourier transform given Green's function Hermitian Hint hypergeometric independent infinite integral equation integrand inverse Laguerre Laplace transform Legendre polynomials linear mathematical matrix Note obtain operator orthogonal partial physical potential power series problem quantum mechanics r₁ r₂ recurrence relation representation result rotation satisfy scalar Section self-adjoint Show solution space spherical harmonics spherical polar coordinates subroutine surface symmetry technique tensor theorem theory unit vectors unitary values vanishes variable Verify Wronskian x₁ zero ду дх