Spectral measure function separability and reflectionless potentials

Authors

  • Eric A. Kincanon Gonzaga University

DOI:

https://doi.org/10.14419/ijamr.v7i3.9898

Published:

2018-07-26

Keywords:

Inverse Scattering, Reflection less Potentials.

Abstract

Both reflectionless potentials and special conditions on the spectral measure function have been well studied in inverse scattering theory. This short paper considers a spectral measure function that is separable and shows that it is equivalent to the potential being reflectionless.

 

 

 

 

References

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[5] J. Lekner, Reflectionless eigenstates of the sech2 potential, Am. J. Phys. 75 (2007) 1151-1157. https://doi.org/10.1119/1.2787015.

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[7] E. Kincanon, Approximate solution to the Gelfand-Levitan equation, Applied Mathematics and Computation, 53 (1993) 121-128. https://doi.org/10.1016/0096-3003(93)90097-X.

[8] E. Kincanon, Spectral measure function separability and reflectionless potentials, Applied Mathematics and Computation, 123 (2001) 409-412. https://doi.org/10.1016/S0096-3003(00)00086-2.

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