2000 character limit reached
The nonlocal Darboux transformation of the stationary axially symmetric Schrödinger equation and generalized Moutard transformation (1911.05023v1)
Published 12 Nov 2019 in math-ph and math.MP
Abstract: The nonlocal Darboux transformation of the stationary axially symmetric Schr\"odinger equation is considered. It is shown that a special case of the nonlocal Darboux transformation provides the generalization of the Moutard transformation. Formulae for the generalized Moutard transformation are obtained. New examples of two - dimensional potencials and exact solutions for the stationary axially symmetric Schr\"odinger equation are obtained as an application of the generalized Moutard transformation.
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.