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