On the Nonlocal Darboux Transformation for Time-Independent Axially Symmetric Schrödinger and Helmholtz Equations

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 t...

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Bibliographic Details
Published in:JETP letters 2021-03, Vol.113 (6), p.409-412
Main Author: Kudryavtsev, A. G.
Format: Article
Language:English
Subjects:
Atomic
Biological and Medical Physics
Biophysics
Exact solutions
Helmholtz equations
Mathematical analysis
Methods of Theoretical Physics
Molecular
Optical and Plasma Physics
Particle and Nuclear Physics
Physics
Physics and Astronomy
Quantum Information Technology
Solid State Physics
Spintronics
Transformations
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Summary: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.
ISSN:0021-3640
1090-6487
DOI:10.1134/S0021364021060084