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Generalized Dunkl-Schrodinger equations: solvable cases, point transformations, and position-dependent mass systems

Axel Schulze‐Halberg

2022Physica Scripta20 citationsDOI

Abstract

Abstract We devise a method for constructing solvable cases of generalized linear Dunkl-Schrödinger equations by means of suitable point transformations. The quantum-mechanical framework pertaining to such equations is discussed, and the particular case of a position-dependent mass scenario is analyzed.

Topics & Concepts

Position (finance)Schrödinger equationPoint (geometry)QuantumSchrödinger's catMathematical physicsPhysicsMathematicsApplied mathematicsMathematical analysisClassical mechanicsQuantum mechanicsGeometryFinanceEconomicsQuantum Mechanics and Non-Hermitian PhysicsNonlinear Waves and SolitonsNonlinear Photonic Systems
Generalized Dunkl-Schrodinger equations: solvable cases, point transformations, and position-dependent mass systems | Litcius