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This article is cited in 1 scientific paper (total in 1 paper)
METHODS OF THEORETICAL PHYSICS
On the nonlocal darboux transformation for time-independent axially symmetric Schrödinger and Helmholtz equations
A. G. Kudryavtsev Institute of Applied Mechanics, Russian Academy of Science, Moscow, 125040 Russia
Abstract:
The nonlocal Darboux transformation for the time-independent axially symmetric Schrödinger and Helmholtz equations has been considered. New examples of two-dimensional potentials and exact solutions of the time-independent axially symmetric Schrödinger and Helmholtz equations have been obtained on the basis of the formulas of the nonlocal Darboux and generalized Moutard transformations.
Received: 27.01.2021 Revised: 27.01.2021 Accepted: 17.02.2021
Citation:
A. G. Kudryavtsev, “On the nonlocal darboux transformation for time-independent axially symmetric Schrödinger and Helmholtz equations”, Pis'ma v Zh. Èksper. Teoret. Fiz., 113:6 (2021), 406–409; JETP Letters, 113:6 (2021), 409–412
Linking options:
https://www.mathnet.ru/eng/jetpl6390 https://www.mathnet.ru/eng/jetpl/v113/i6/p406
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