Search
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.
Citations
-
1
CrossRef
-
0
Web of Science
-
1
Scopus
Cite as
Full text
download paper
downloaded 20 times
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1088/1742-6596/482/1/012025
- License
-
open in new tab
Keywords
Details
- 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
seen 106 times