Exact solutions to the Schrodinger equation for the potential V(r)=ar(2)+br(-4)+cr(-6) in two dimensions

Authors
Dong, SH Ma, ZQ
Citation
Sh. Dong et Zq. Ma, Exact solutions to the Schrodinger equation for the potential V(r)=ar(2)+br(-4)+cr(-6) in two dimensions, J PHYS A, 31(49), 1998, pp. 9855-9859
Citations number
8
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
31
Issue
49
Year of publication
1998
Pages
9855 - 9859
Database
ISI
SICI code
0305-4470(199812)31:49<9855:ESTTSE>2.0.ZU;2-Z
Abstract
Making use of an ansatz for the eigenfunctions, we obtain an exact closed-f orm solution to the non-relativistic Schrodinger equation with the anharmon ic potential, V(r) = ar(2) + br(-4) + cr(-6) in two dimensions, where the p arameters of the potential, a, b and c satisfy some constraints.