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We construct Darboux transformations of arbitrary order for generalized Schrodinger-type equations, the potentials of which are second-degree polynomials in the energy. Our equations are allowed to contain first-derivative terms with… Click to show full abstract
We construct Darboux transformations of arbitrary order for generalized Schrodinger-type equations, the potentials of which are second-degree polynomials in the energy. Our equations are allowed to contain first-derivative terms with arbitrary coefficients, such as they occur, for example, in position-dependent mass scenarios. Our Darboux transformations are shown to be applicable to equations from the Heun class.
Keywords:
darboux transformations;
generalized schr;
heun class;
energy
Journal Title: Journal of Mathematical Physics
Year Published: 2020
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Journal Title: Journal of Mathematical Physics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!