Zobrazeno 1 - 10 of 23 pro vyhledávání: '"A. M. Ishkhanyan"'
1
Akademický článek
Exact solution of the 1D Dirac equation for a pseudoscalar interaction potential with the inverse-square-root variation law
Autor: A. M. Ishkhanyan, V. P. Krainov
Publikováno v: Scientific Reports, Vol 13, Iss 1, Pp 1-9 (2023)
Abstract We present the exact solution of the one-dimensional stationary Dirac equation for the pseudoscalar interaction potential, which consists of a constant and a term that varies in accordance with the inverse-square-root law. The general soluti
Externí odkaz: https://doaj.org/article/9ce475c13764487d8b853afac4302cee
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2
Akademický článek
A new exactly integrable hypergeometric potential for the Schrödinger equation
Autor: T. A. Ishkhanyan, V. A. Manukyan, A. H. Harutyunyan, A. M. Ishkhanyan
Publikováno v: AIP Advances, Vol 8, Iss 3, Pp 035309-035309-8 (2018)
We introduce a new exactly integrable potential for the Schrödinger equation for which the solution of the problem may be expressed in terms of the Gauss hypergeometric functions. This is a potential step with variable height and steepness. We prese
Externí odkaz: https://doaj.org/article/dd220c1cd2e0429c9e4b8355709b539d
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3
Akademický článek
The Third Five-Parametric Hypergeometric Quantum-Mechanical Potential
Autor: T. A. Ishkhanyan, A. M. Ishkhanyan
Publikováno v: Advances in High Energy Physics, Vol 2018 (2018)
We introduce the third five-parametric ordinary hypergeometric energy-independent quantum-mechanical potential, after the Eckart and Pöschl-Teller potentials, which is proportional to an arbitrary variable parameter and has a shape that is independe
Externí odkaz: https://doaj.org/article/0d55c62190334616be12a92c9dd44a74
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4
Akademický článek
Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients
Autor: T. A. Ishkhanyan, T. A. Shahverdyan, A. M. Ishkhanyan
Publikováno v: Advances in High Energy Physics, Vol 2018 (2018)
We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions. We present several expansions using functions, the forms of which differ from those applied before. In general, the coefficients o
Externí odkaz: https://doaj.org/article/1cc15c1938e14523a1a8d22cde18384a
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5
Akademický článek
Expansions of the solutions to the confluent Heun equation in terms of the Kummer confluent hypergeometric functions
Autor: T. A. Ishkhanyan, A. M. Ishkhanyan
Publikováno v: AIP Advances, Vol 4, Iss 8, Pp 087132-087132-8 (2014)
We examine the series expansions of the solutions of the confluent Heun equation in terms of three different sets of the Kummer confluent hypergeometric functions. The coefficients of the expansions in general obey three-term recurrence relations def
Externí odkaz: https://doaj.org/article/e48cf6e185c445938de2f5e53501b3aa
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