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Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics

Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics

Two different approaches are formulated to analyze two-dimensional quantum models which are not amenable to standard separation of variables. Both methods are essentially based on supersymmetrical second order intertwining relations and shape invariance - two main ingredients of the supersymmetrical quantum mechanics. The first method explores the opportunity to separate …