Darboux transformations for Dunkl–Schrödinger equations with energy-dependent potential and position-dependent mass
Axel Schulze‐Halberg, Pinaki Roy
Abstract
Abstract We construct arbitrary-order Darboux transformations for Schrödinger equations with energy-dependent potential and position-dependent mass within the Dunkl formalism. Our construction is based on a point transformation that interrelates our equations with the standard Schrödinger case. We apply our method to generate several solvable Dunkl–Schrödinger equations.
Topics & Concepts
Schrödinger equationPosition (finance)Schrödinger's catMathematical physicsEnergy (signal processing)PhysicsMathematicsQuantum mechanicsFinanceEconomicsQuantum Mechanics and Non-Hermitian PhysicsAlgebraic and Geometric AnalysisQuantum chaos and dynamical systems