Please use this identifier to cite or link to this item:
https://elib.bsu.by/handle/123456789/34122| Title: | On Schrödinger Equation with Potential and the Bi-Confluent Heun Functions Theory |
| Authors: | Ovsiyuk, E. Veko, O. Amirfachrian, M. |
| Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Физика ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика |
| Issue Date: | 2012 |
| Publisher: | Адукацыя и выхаванне |
| Citation: | Nonlinear Phenomena in Complex Systems. - 2012. - Vol.15, no.2. - P. 163-170. |
| Abstract: | It is shown that the Schrödinger equation with a potential in the form of a combination of three potentials Coulomb, linear and harmonic, the potential often used to describe quarkonium, is reduced to a bi-confluent Heun differential equation. The method to construct its solutions in the form of polynomials is developed, however with additional constraints in four parameters of the model, .The energy spectrum looks as a modified combination of oscillator and Coulomb parts. |
| URI: | http://elib.bsu.by/handle/123456789/34122 |
| ISSN: | 1561-4085 |
| Licence: | info:eu-repo/semantics/restrictedAccess |
| Appears in Collections: | 2012. Volume 15. Number 2 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| v15no2p163.pdf | 510,67 kB | Adobe PDF | View/Open |
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