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Abstract
We examine general statements in the Wronskian representation of Darboux transformations for plane zero-range potentials. Such expressions naturally contain scattering problem solution. We also apply Abel theorem to Wronskians for differential equations and link it to chain equations for Darboux transforms to fix conditions for further development of the underlying distribution concept. Moutard transformations give a convenient insight into the problem that allows one to formulate general assertions and give complete description of a point potential in a limit of long waves.
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- DOI:
- Digital Object Identifier (open in new tab) 10.1088/1742-6596/482/1/012025
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- Category:
- Articles
- Type:
- artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
- Published in:
-
Journal of Physics : Conference Series
no. 482,
pages 1 - 11,
ISSN: 1742-6588 - Language:
- English
- Publication year:
- 2014
- Bibliographic description:
- Leble S.: Integrable zero-range potentials in a plane// Journal of Physics : Conference Series. -Vol. 482., (2014), s.1-11
- DOI:
- Digital Object Identifier (open in new tab) 10.1088/1742-6596/482/1/012025
- Verified by:
- Gdańsk University of Technology
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