Solutions of the D-dimensional Schrödinger equation with Killingbeck potential: Lie algebraic approach

doi:10.1088/1674-1056/24/6/060301

Abstract Algebraic solutions of the D-dimensional Schrödinger equation with Killingbeck potential are investigated using the Lie algebraic approach within the framework of quasi-exact solvability. The spectrum and wavefunctions of the system are reported and the allowed values of the potential parameters are obtained through the sl(2) algebraization.

Keywords: quasi-exactly solvable Schrödinger equation Killingbeck potential sl(2) Lie algebra representation theory

Received: 21 September 2014
Revised: 22 January 2015
Accepted manuscript online:

PACS:	03.65.-w	(Quantum mechanics)
	03.65.Fd	(Algebraic methods)
	03.65.Ge	(Solutions of wave equations: bound states)

Corresponding Authors: H. Panahi, S. Zarrinkamar, M. Baradaran
E-mail: t-panahi@guilan.ac.ir;zarrinkamar.s@gmail.com;marzie.baradaran@yahoo.com

About author: 03.65.-w; 03.65.Fd; 03.65.Ge

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H. Panahi, S. Zarrinkamar, M. Baradaran Solutions of the D-dimensional Schrödinger equation with Killingbeck potential: Lie algebraic approach 2015 Chin. Phys. B 24 060301

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Solutions of the D-dimensional Schrödinger equation with Killingbeck potential: Lie algebraic approach

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