Special Functions of Mathematical Physics
Discussion of the most important formulae and construction of plots for some functions of mathematical physics relevant to quantum mechanics. These functions are Hermite polynomials, Legendre polynomials and Legendre functions, spherical harmonics, Bessel functions and spherical Bessel functions, Airy functions, and Laguerre polynomials.Directly related to some of these and also dis-cussed are the eigenfunctions of the one-dimensional harmonic oscillator and the radial eigenfunctions of the harmonic oscillator in three dimensions and of the hydrogen atom. From statistics the Gaussian distribution of one and two variables and the error function as well as the binomial and Poisson distributions are described.
KeywordsBessel Function Spherical Harmonic Polar Diagram Hermite Polynomial Cartesian Grid
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