On one-dimensional potential barriers having equal reflexion and transmission coefficients
- 12 February 1980
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 369 (1739) , 425-433
- https://doi.org/10.1098/rspa.1980.0008
Abstract
Based on the results of earlier studies on the perturbations of the Schwarzschild and the Reissner–Nordström black holes, it is shown that there exists a very general class of potential pairs (V(+) and V(-) which yield the same reflexion and transmission coefficients. It is further shown that these potentials, V(+) and V(-), satisfy an infinite hierarchy of integral equalities which are, formally, the same as the conserved quantities allowed by the Korteweg–deVries equation.Keywords
This publication has 0 references indexed in Scilit: