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Article
Numerical method for solving the inverse scattering problem based on the asymptotic regularization
Communications of Joint Institute for Nuclear Research (1995)
  • Ruben Hayrapetyan, Kettering University
  • E. P. Zhidkov
  • R. L. Shakhbagyan
Abstract
The numerical method for the inverse problem of quantum scattering theory is suggested. It is based on the two asymptotic regularizations: the first one uses the asymptotic behaviour of the phase shift and of the module of the Jost function for high energies, and the second one - the asymptotics by step of the reciprocals to `almost` Toeplitz and Hankel matrices. The last one permits to avoid the unstable procedure of the numerical differentiation.
Publication Date
December 31, 1995
Publisher Statement
International Nuclear Information System (INIS)
Citation Information
Ruben Hayrapetyan, E. P. Zhidkov and R. L. Shakhbagyan. "Numerical method for solving the inverse scattering problem based on the asymptotic regularization" Communications of Joint Institute for Nuclear Research (1995) ISSN: 1819-9186
Available at: http://works.bepress.com/ruben-hayrapetyan/46/