Analysis of D Dimensional Dirac equation for q-deformed Posch-Teller combined with q-deformed trigonometric Manning Rosen Non-Central potential using Asymptotic Iteration Method (AIM)

摘要

Inthisstudy,weusedasymptoticiterationmethod(AIM)toobtaintherelativisticenergyspectraandwavefunctionsforDDimensionalDiracequation.SolutionoftheDDimensionalDiracequationusingasymptoticiterationmethodwasdonebyfoursteps.Thefirststep,wesubstitutiedqdeformedPoschl-Tellerpotentialplusq-deformedManningRosenNon-CentralpotentialintoDdimensionalDiracequation.Andthen,generaltermofDdimensioanlDiracequationforqdeformedPoschl-Tellerpotentialplusq-deformedManningRosenNon-CentralpotentialwasreducedintoonedimensioanalDiracequation,consistofradialpartandangularpart.Thesecondstep,bothofonedimensionalpartmustbereducedtohypergeometrictypedifferentialequationbysuitableparameterchange.Andthen,hypergeometrictypedifferentialequationwastransformedintoAIMtypedifferentialequation.Forthelaststep,AIMtypedifferentialequationcanbesolvedtoobtaintherelativisticenergyandwavefunctionsofDiracequation.RelativisticenergyandwavefunctionswerevisualizedbyusingMatlabsoftware...