Classes of exact Klein-Gordon equations with spatially dependent masses: Regularizing the one-dimensional inversely linear potential

Dutra, Alvaro de Souza [UNESP]Jia, C. S.2014-05-202014-05-202006-04-10Physics Letters A. Amsterdam: Elsevier B.V., v. 352, n. 6, p. 484-487, 2006.0375-9601http://hdl.handle.net/11449/31716In this work we consider the effect of a spatially dependent mass over the solution of the Klein-Gordon equation in 1 + 1 dimensions, particularly the case of inversely linear scalar potential, which usually presents problems of divergence of the ground-state wave function at the origin, and possible nonexistence of the even-parity wave functions. Here we study this problem, showing that for a certain dependence of the mass with respect to the coordinate, this problem disappears. (c) 2006 Elsevier B.V. All rights reserved.484-487engClasses of exact Klein-Gordon equations with spatially dependent masses: Regularizing the one-dimensional inversely linear potentialArtigo10.1016/j.physleta.2005.12.048WOS:000236483700003Acesso restrito6314084638411003