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

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

Feb 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980rspsa.369..425c&link_type=abstract

Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences, vol. 369, no. 1739, Feb. 12, 1980, p. 425-43

Astronomy and Astrophysics

Astrophysics

6

Astronomical Models, Astrophysics, Black Holes (Astronomy), Potential Theory, Korteweg-Devries Equation, Perturbation Theory, Quantum Theory, Reflectance, Relativity, Transmittance

Scientific paper

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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