Sezgin, Mehmet2024-06-122024-06-1220202218-1997https://doi.org/10.3390/universe6030038https://hdl.handle.net/20.500.14551/22123We 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 Schrodinger equations with position-dependent mass were given.en10.3390/universe6030038info:eu-repo/semantics/openAccessLie GroupCasimir OperatorSchrodinger EquationDecompositionAlgebraic ApproachLie-AlgebrasScatteringPotentialsClustersSpectrumTodaArticle63Q3WOS:0005243237000122-s2.0-85081647237Q1