Supersymmetry of Generalized Linear Schrödinger Equations in (1+1) Dimensions
نویسندگان
چکیده
We review recent results on how to extend the supersymmetry SUSY formalism in Quantum Mechanics to linear generalizations of the time-dependent Schrödinger equation in (1+1) dimensions. The class of equations we consider contains many known cases, such as the Schrödinger equation for position-dependent mass. By evaluating intertwining relations, we obtain explicit formulas for the interrelations between the supersymmetric partner potentials and their corresponding solutions. We review reality conditions for the partner potentials and show how our SUSY formalism can be extended to the Fokker-Planck and the nonhomogeneous Burgers equation.
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عنوان ژورنال:
- Symmetry
دوره 1 شماره
صفحات -
تاریخ انتشار 2009