Relativistic solutions of generalized-Dunkl harmonic and anharmonic oscillators
S. Hassanabadi, Jan Křı́ž, B. C. Lütfüoğlu, H. Hassanabadi
Abstract
Abstract Dunkl derivative enriches solutions by discussing parity due to its reflection operator. Very recently, one of the authors of this manuscript presented one of the most general forms of Dunkl derivative that depends on three Wigner parameters to have a better tuning. In this manuscript, we employ the latter generalized Dunkl derivative in a relativistic equation to examine two dimensional harmonic and anharmonic oscillators solutions. We obtain the solutions by Nikiforov-Uvarov and quasi-exact solvability (QES) methods, respectively. We show that degenerate states can occur according to the Wigner parameter values.
Topics & Concepts
AnharmonicityDegenerate energy levelsPhysicsHarmonic oscillatorOperator (biology)Mathematical physicsHarmonicParity (physics)Derivative (finance)Quantum mechanicsTranscription factorRepressorFinancial economicsEconomicsChemistryBiochemistryGeneQuantum Mechanics and Non-Hermitian PhysicsNonlinear Waves and SolitonsMathematical Analysis and Transform Methods