Analytical Solutions of the Schrodinger Equation with Power Potentials

doi:10.1002/jccs.201400540

Title:	Analytical Solutions of the Schrodinger Equation with Power Potentials
Authors:	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
Keywords:	Schrodinger equation;Power potentials;Exact solubility;Quasi-exact solubility;Heun equation;Hessenberg determinant
Issue Date:	1-Jan-2016
Abstract:	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
Journal:	JOURNAL OF THE CHINESE CHEMICAL SOCIETY
Volume:	63
Begin Page:	101
End Page:	108
Appears in Collections:	Articles