Approximate analytical solution of the Dirac equation for pseudospin symmetry with modified Po schl-Teller potential and trigonometric Scarf II non-central potential using asymptotic iteration method

摘要

Weaplliedasymptoticiterationmethod(AIM)toobtaintheanalyticalsolutionoftheDiracequationincaseexactpseudospinsymmetryinthepresenceofmodifiedPcischl-TellerpotentialandtrigonometricScarfIInon-centralpotential.TheDiracequationwassolvedbyvariablesseparationintoonedimensionalDiracequation,theradialpartandangularpartequation.TheradialandangularpartequationcanbereducedintohypergeometrictypeequationbyvariablesubstitutionandwavefunctionsubstitutionandthentransformitintoAIMtypeequationtoobtainrelativisticenergyeigenvalueandwavefunctions.RelativisticenergywascalculatednumericallybyMatlabsoftware.AndthenrelativisticenergyspectrumandwavefunctionswerevisualizedbyMatlabsoftware.Theresultsshowthattheincreaseintheradialquantumnumbernrcausesdecreaseintherelativisticenergyspectrum.Thenegativevalueofenergyistakenduetothepseudospinsymmetrylimit.Severalquantumwavefunctionswerepresentedintermsofthehypergeometricfunctions...