Analytical solution of D-dimensional radial Schrödinger equation for sextic potential by the extended Nikiforov-Uvarov method and biconfluent Heun polynomials

Autor:	Hale Karayer
Jazyk:	angličtina
Předmět:	Akışkanlar ve Plazma Matematik Uygulamalı General Physics and Astronomy Mathematics::Mathematical Physics D-dimensional Schrödinger equation extended Nikiforov-Uvarov method sextic potential biconfluent Heun polynomials Nükleer Fizik Atomik ve Moleküler Kimya Katı Hal Partiküller ve Alanlar
Zdroj:	Volume: 43, Issue: 4 410-416 Turkish Journal of Physics
ISSN:	1300-0101 1303-6122
Popis:	D-dimensional radial Schrödinger equation (SE) for sextic potential is solved using the extended Nikiforov-Uvarov method analytically. Energy eigenvalue and eigenfunction solutions are achieved systematically. It is also presented that the D-dimensional radial SE is transformed to biconfluent Heun equation (BHE). Therefore the eigenfunction solutions for the potential are attained in terms of biconfluent Heun polynomials when the condition of existence of polynomial solution of BHE is provided simultaneously.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::166ccfd33f60c5c428612778d7f6df72 https://dergipark.org.tr/tr/pub/tbtkphysics/issue/50863/663465 Zobrazit plný text záznamu