Abstract
We have considered the Iwasawa and Gauss decompositions for the Lie group SL(2,R). According to these decompositions, the Casimir operators of the group and the Hamiltonians with position-dependent mass were expressed. Then, the unbound state solutions of the Schrödinger equations with position-dependent mass were given.
Subject
General Physics and Astronomy
Reference49 articles.
1. Theory of Group Representations and Applications;Barut,1986
2. Lie Algebras and Applications;Iachello,2006
3. Potential Scattering, Transfer Matrix, and Group Theory
4. Algebraic Approach to the Scattering Matrix
5. Lie Groups and Lie Algebras and Some of their Applications;Gilmore,1974