Analytical Solution of Two-Dimensional Scarf II Model by Means of SUSY Methods
arXiv:1111.3039 · doi:10.1016/j.aop.2011.11.008
Abstract
New two-dimensional quantum model - the generalization of the Scarf II - is completely solved analytically for the integer values of parameter. This model being not amenable to conventional procedure of separation of variables is solved by recently proposed method of supersymmetrical separation. The latter is based on two constituents of SUSY Quantum Mechanics: the intertwining relations with second order supercharges and the property of shape invariance. As a result, all energies of bound states were found, and the analytical expressions for corresponding wave functions were obtained.
18 pages; two misprints were improved
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Cited by in corpus (8)
- Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations
- Supersymmetrical Separation of Variables for Scarf II Model: Partial Solvability
- General Solution of the Two-Dimensional Intertwining Relations for Supercharges with Hyperbolic (Lorentz) Metrics
- New Implicitly Solvable Potential Produced by Second Order Shape Invariance
- A New Class of Solvable Two-dimensional Scalar Potentials for Graphene
- Three-Dimensional Shape Invariant Non-Separable Model With Equidistant Spectrum
- Some Properties of the Shape Invariant Two-Dimensional Scarf II Model
- Solution of Second Order Supersymmetrical Intertwining Relations in Minkowski Plane