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 TMF, 1974, Volume 21, Number 2, Pages 224–232 (Mi tmf3890)

Determination of closed expressions for the perturbation theory corrections to the wave functions of bound states by means of a Sturm function expansion

A. I. Sherstyuk

Abstract: By summation of expansions with respect to a complete system of eigenfunctions of a Sturm–Liouville type operatorwith only a discrete spectrum, closed expressions are obtained for the first- and second-order perturbation corrections to the wave function of an arbitrary bound state of an electron in a Coulomb field in the presence of a centrally symmetric perturbing potential.

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English version:
Theoretical and Mathematical Physics, 1974, 21:2, 1097–1104

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Citation: A. I. Sherstyuk, “Determination of closed expressions for the perturbation theory corrections to the wave functions of bound states by means of a Sturm function expansion”, TMF, 21:2 (1974), 224–232; Theoret. and Math. Phys., 21:2 (1974), 1097–1104

Citation in format AMSBIB
\Bibitem{She74} \by A.~I.~Sherstyuk \paper Determination of closed expressions for the perturbation theory corrections to the wave functions of bound states by means of a~Sturm function expansion \jour TMF \yr 1974 \vol 21 \issue 2 \pages 224--232 \mathnet{http://mi.mathnet.ru/tmf3890} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=475404} \transl \jour Theoret. and Math. Phys. \yr 1974 \vol 21 \issue 2 \pages 1097--1104 \crossref{https://doi.org/10.1007/BF01035557} 

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This publication is cited in the following articles:
1. A. I. Sherstyuk, “Sturm expansions in many-fermion problems”, Theoret. and Math. Phys., 56:2 (1983), 813–823
2. N. E. Firsova, A. I. Sherstyuk, “Some properties of generalized spectral problems associated with the Schrödinger equation”, Theoret. and Math. Phys., 81:1 (1989), 1053–1060
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