On one-dimensional potential barriers having equal reflexion and transmission coefficients

Chandrasekhar, S. (1980) On one-dimensional potential barriers having equal reflexion and transmission coefficients Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 369 (1739). pp. 425-433. ISSN 0080-4630

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Official URL: http://www.jstor.org/pss/2398595

Abstract

Based on the results of earlier studies on the perturbations of the Schwarzschild and the Reissner-Nordstrom 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.

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Deposited On:22 Nov 2011 04:52
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