Exact solvability of PDM systems with extended Lie symmetries

Abstract

It is shown that all PDM Schroedinger equations admitting more than five dimensional Lie symmetry algebras (whose completed list can be found in paper~[{\it J.~Math. Phys.} {\bf 58}, , 083508 (2017)] are exactly solvable. The corresponding exact solutions are presented. The supersymmetric aspects of the exactly solvable systems are discussed.

16 pages

References in corpus (4)

• Superintegrable systems with position dependent mass
• Quadratic Algebra Approach to an Exactly Solvable Position-Dependent Mass Schrödinger Equation in Two Dimensions
• Dynamical Equations, Invariants and Spectrum Generating Algebras of Mechanical Systems with Position-Dependent Mass
• Superintegrable and shape invariant systems with position dependent mass

Cited by in corpus (1)

• Symmetries and Supersymmetries of Generalized Schrödinger equations