Integral Representation and Asymptotic Expansion for Hypergeometric Coherent States

Alexander Pereskokov ()
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Alexander Pereskokov: National Research University “Moscow Power Engineering Institute ”, Krasnokazarmennay St. 14, 111250 Moscow, Russia

Mathematics, 2022, vol. 10, issue 16, 1-10

Abstract: An integral representation is found for hypergeometric coherent states. It contains a generalized hypergeometric function. An asymptotic expansion of hypergeometric coherent states near z = 1 is constructed. This expansion is used to find asymptotic eigenfunctions of the Hamiltonian of the hydrogen atom in a magnetic field near the lower boundaries of spectral clusters.

Keywords: hypergeometric coherent state; coherent transformation; generalized hypergeometric function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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