Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step

Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step

It is shown that a nonsolvable third-order hyperbolic potential becomes quasi-exactly solvable after the introduction of a hyperbolic effective mass step. Stationary energies and L2-solutions of the corresponding Schrödinger equation are obtained in explicit form.

Bibliographic Details
Main Author: Axel Schulze-Halberg
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/358198
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spelling doaj-fc5cdac238394a0f8adf3899e8f8cc322020-11-24T23:15:00ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/358198358198Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass StepAxel Schulze-Halberg0Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary, IN 46408, USAIt is shown that a nonsolvable third-order hyperbolic potential becomes quasi-exactly solvable after the introduction of a hyperbolic effective mass step. Stationary energies and L2-solutions of the corresponding Schrödinger equation are obtained in explicit form.http://dx.doi.org/10.1155/2011/358198
collection DOAJ
language English
format Article
sources DOAJ
author Axel Schulze-Halberg
spellingShingle Axel Schulze-Halberg
Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step
International Journal of Mathematics and Mathematical Sciences
author_facet Axel Schulze-Halberg
author_sort Axel Schulze-Halberg
title Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step
title_short Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step
title_full Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step
title_fullStr Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step
title_full_unstemmed Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step
title_sort quasi-exact solvability of a hyperbolic intermolecular potential induced by an effective mass step
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2011-01-01
description It is shown that a nonsolvable third-order hyperbolic potential becomes quasi-exactly solvable after the introduction of a hyperbolic effective mass step. Stationary energies and L2-solutions of the corresponding Schrödinger equation are obtained in explicit form.
url http://dx.doi.org/10.1155/2011/358198
work_keys_str_mv AT axelschulzehalberg quasiexactsolvabilityofahyperbolicintermolecularpotentialinducedbyaneffectivemassstep
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