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 IJMNTA  Vol.2 No.4 , December 2013
Inverse Scattering Problem for the Schrödinger’s Equation
Abstract:

The analytic properties of the scattering amplitude are discussed. And, the representation of the potential by the scattering amplitude is obtained.

Cite this paper: A. Durmagambetov and L. Fazilova, "Inverse Scattering Problem for the Schrödinger’s Equation," International Journal of Modern Nonlinear Theory and Application, Vol. 2 No. 4, 2013, pp. 244-246. doi: 10.4236/ijmnta.2013.24035.
References

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[3]   R. G. Newton, “Inverse Scattering Three Dimensions,” Journal of Mathematical Physics, Vol. 21, No. 7, 1980, pp. 1698-1715. http://dx.doi.org/10.1063/1.524637

[4]   E. Somersalo, et al., “Inverse Scattering Problem for the Schrodinger’s Equation in Three Dimensions: Connections between Exact and Approximate Methods,” 1988.

[5]   A. Y. Povzner, “On the Expansion of Arbitrary Functions in Characteristic Functions of the Operator ,” Matematicheskii Sbornik, Vol. 32, No. 74, 1953, pp. 109-156.

[6]   M. Birman, “On the Spectrum of Singular Boundary-Value Problems,” (Russian) Matematicheskii Sbornik, Vol. 55, No. 97, 1961, pp. 125-174.

[7]   H. Poincare, “Lecons de Mecanique Celeste,” 1910.

 
 
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