Bound states of relativistic particles in the generalized symmetrical double-well potential

Solving the Klein–Gordon and Dirac equations with equal generalized symmetrical double-well scalar and vector potentials by the method of the supersymmetric quantum mechanics, shape invariance approach and the alternative method, we obtain the exact energy equations and unnormalized wavefunctions fo...

Full description

Saved in:
Bibliographic Details
Published in:Physics letters. A 2005-04, Vol.337 (3), p.189-196
Main Authors: Zhao, Xing-Qiang, Jia, Chun-Sheng, Yang, Qiu-Bo
Format: Article
Language:English
Subjects:
Bound state
Dirac equation
Generalized symmetrical double-well potential
Klein–Gordon equation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Solving the Klein–Gordon and Dirac equations with equal generalized symmetrical double-well scalar and vector potentials by the method of the supersymmetric quantum mechanics, shape invariance approach and the alternative method, we obtain the exact energy equations and unnormalized wavefunctions for the s-wave bound states. Some interesting results including the standard symmetrical double-well potential, reflectionless-type potential and V 0 tanh 2 ( r / d ) potential are also discussed.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2005.01.062