Applications of the method of impact parameter in collisions
- 2 January 1933
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character
- Vol. 139 (837) , 163-186
- https://doi.org/10.1098/rspa.1933.0012
Abstract
The analogue of the Crum transformation for the Schrodinger equation-a generalization of the classical Darboux theorem-is obtained for the third-order scattering problem associated with the Sawada-Kotera equation. This transformation has pfaffians playing the role that wronskians do in the original result. Extensions of the Crum transformation and the above result to two-dimensional scattering problems are also described.Keywords
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