On the Hermitian momentum of Wigner-Dunkl quantum mechanics
Won Sang Chung, Georg Junker, Shi‐Hai Dong, H. Hassanabadi
Abstract
Abstract In this paper the Hermitian momentum operator on the usual Hilbert space is constructed for the Wigner-Dunkl quantum mechanics utilizing a symmetric Dunkl derivative. The inverse of the derivative is shown to exhibit different realization on the subspaces of even and odd functions. The continuity conditions at finite discontinuities of symmetric potential is investigated. As an example, the finite symmetric square well is discussed in detail.
Topics & Concepts
Hermitian matrixLinear subspacePosition and momentum spaceHilbert spaceRealization (probability)Operator (biology)Mathematical physicsMomentum (technical analysis)Quantum mechanicsPhysicsMathematicsMomentum operatorPure mathematicsLadder operatorCompact operatorTranscription factorFinanceRepressorStatisticsChemistryExtension (predicate logic)Programming languageComputer scienceBiochemistryEconomicsGeneQuantum Mechanics and Non-Hermitian PhysicsQuantum chaos and dynamical systemsQuantum Mechanics and Applications