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Preprints of the Keldysh Institute of Applied Mathematics, 2020, 014, 28 pp.
DOI: https://doi.org/10.20948/prepr-2020-14
(Mi ipmp2805)
 

Asymptotical expansions for ground states of Schrodinger equation

S. G. Pozdnyakov, I. V. Valiev
References:
Abstract: The method of calculation of asymptotical expansions for ground state of Schrodinger equation in case of smooth potentials is proposed. These asymptotical expansions are solutions of the corresponding eigenvalue tasks in quadratures. Unlike quasiclassical approach of WKB the proposed solutions are applicable for the ground states and allow to find a logarithmic derivative of wave function in a whole area of its definition. For some simplest potentials the calculated asymptotical expansions converge to exact solution.
Keywords: Schrodinger equation, logarithmic derivative, ground state, asymptotical expansion.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00435
Document Type: Preprint
Language: Russian
Citation: S. G. Pozdnyakov, I. V. Valiev, “Asymptotical expansions for ground states of Schrodinger equation”, Keldysh Institute preprints, 2020, 014, 28 pp.
Citation in format AMSBIB
\Bibitem{PozVal20}
\by S.~G.~Pozdnyakov, I.~V.~Valiev
\paper Asymptotical expansions for ground states of Schrodinger equation
\jour Keldysh Institute preprints
\yr 2020
\papernumber 014
\totalpages 28
\mathnet{http://mi.mathnet.ru/ipmp2805}
\crossref{https://doi.org/10.20948/prepr-2020-14}
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