Exact solution of the one-dimensional Klein－Gordon equation with scalar and vector linear potentials in the presence of a minimallength

doi:10.1088/1674-1056/19/2/020305

Abstract Using the momentum space representation, we solve the Klein--Gordon equation in one spatial dimension for the case of mixed scalar and vector linear potentials in the context of deformed quantum mechanics characterized by a finite minimal uncertainty in position. The expressions of bound state energies and the associated wave functions are exactly obtained.

Keywords: Klein--Gordon equation linear potential minimal length exact solution

Received: 27 May 2009
Revised: 27 May 2009
Accepted manuscript online:

PACS:	03.65.Pm	(Relativistic wave equations)
	03.65.Fd	(Algebraic methods)
	03.65.Ge	(Solutions of wave equations: bound states)

Cite this article:

Y Chargui, L Chetouani, and A Trabelsi Exact solution of the one-dimensional Klein－Gordon equation with scalar and vector linear potentials in the presence of a minimallength 2010 Chin. Phys. B 19 020305

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Exact solution of the one-dimensional Klein－Gordon equation with scalar and vector linear potentials in the presence of a minimallength

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