On the hydrogen wave function in Momentum-space, Clifford algebra and the Generating function of Gegenbauer polynomial

Details On the hydrogen wave function in Momentum-space, Clifford algebra and the Generating function of Gegenbauer polynomial On the hydrogen wave function in Momentum-space, Clifford algebra and the Generating function of Gegenbauer polynomial

2008-07-25

arxiv.org/abs/0807.4070v1

Physics

Mathematical Physics

Scientific paper

Using the quadratic transformation and the generating function method we Perform the Fourier transformation of the wave function of coordinates of hydrogen atom and we find the analytic expression of the wave function in momentum space. We derive the matrix elements between the basis to 4-dimensions and integral representation of the generating functions of Gegenbauer polynomials. We find a relationship between a class of Clifford algebra and the generating functions of these polynomials.

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