Abstract
Darboux-like (Moutard) and generalized Moutard transformations in two dimensions are applied to construct families of zero range potentials of scalar and matrix equations of stationary quantum mechanics. The statement about such functionals, defined by closed coordinate curves obtained by Ribokur-Moutard transforms is formulated. Their applications in physics and differential geometry of surfaces are discussed.
Mathematics Subject Classification (2010). 35A99; 14H70,81.
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Leble, S. (2013). Pseudopotentials via Moutard Transformations and Differential Geometry. In: Kielanowski, P., Ali, S., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0448-6_31
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DOI: https://doi.org/10.1007/978-3-0348-0448-6_31
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