標題: | Schrodinger equations with power potentials |
作者: | Karwowski, Jacek Witek, Henryk A. 應用化學系 應用化學系分子科學碩博班 Department of Applied Chemistry Institute of Molecular science |
關鍵字: | Schrodinger equation;quasi-exactly solvable model;recurrence relation;Hessenberg determinant |
公開日期: | 17-四月-2016 |
摘要: | General formulae for solutions of the Schrodinger equation with power potentials are derived. The wavefunctions are expressed as products of the asymptotic factors and special forms of the Hessenberg determinants, in general, of infinite order. Conditions under which the order of the determinants becomes finite are determined. It is shown that solutions represented by the finite-order determinants may exist only if the highest power of the radial variable in the potential function is even. [GRAPHICS] . |
URI: | http://dx.doi.org/10.1080/00268976.2015.1115565 http://hdl.handle.net/11536/133655 |
ISSN: | 0026-8976 |
DOI: | 10.1080/00268976.2015.1115565 |
期刊: | MOLECULAR PHYSICS |
Volume: | 114 |
Issue: | 7-8 |
起始頁: | 932 |
結束頁: | 940 |
顯示於類別: | 期刊論文 |