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IJAMR International Journal of Applied Mathematical Research E-ISSN 2227-4324

Spectral measure function separability and reflectionless potentials

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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.

 

Keywords

  • Inverse Scattering
  • Reflection less Potentials.

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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[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.


How to Cite

A. Kincanon, E. (2018). Spectral measure function separability and reflectionless potentials. International Journal of Applied Mathematical Research, 7(3), 69-70. https://doi.org/10.14419/ijamr.v7i3.9898