標題: Analytical Solutions of the Schrodinger Equation 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;Power potentials;Exact solubility;Quasi-exact solubility;Heun equation;Hessenberg determinant
公開日期: 1-Jan-2016
摘要: Conditions for the existence of polynomial solutions of the Schrodinger equation with potentials which are linear combinations of powers of r ranging from -2 to 2m, where m is a non-negative integer, are derived and explicit expressions for the coefficients are given. Potentials with m = 0, 1, 2 are discussed in detail.
URI: http://dx.doi.org/10.1002/jccs.201400540
http://hdl.handle.net/11536/129698
ISSN: 0009-4536
DOI: 10.1002/jccs.201400540
期刊: JOURNAL OF THE CHINESE CHEMICAL SOCIETY
Volume: 63
起始頁: 101
結束頁: 108
Appears in Collections:Articles