Numerical method for solving the inverse scattering problem based on the asymptotic regularization

Ruben Hayrapetyan; E. P. Zhidkov; R. L. Shakhbagyan

Numerical method for solving the inverse scattering problem based on the asymptotic regularization

Ruben Hayrapetyan, E. P. Zhidkov, R. L. Shakhbagyan

Kettering University

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Communications of Joint Institute for Nuclear Research
State	Published - Dec 31 1995

Disciplines

Mechanical Engineering

Cite this

@article{0571379d19a04ff08d7dc1403e31cb2c,

title = "Numerical method for solving the inverse scattering problem based on the asymptotic regularization",

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. ",

author = "Ruben Hayrapetyan and Zhidkov, \{E. P.\} and Shakhbagyan, \{R. L.\}",

year = "1995",

month = dec,

day = "31",

language = "American English",

journal = "Communications of Joint Institute for Nuclear Research",

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TY - JOUR

T1 - Numerical method for solving the inverse scattering problem based on the asymptotic regularization

AU - Hayrapetyan, Ruben

AU - Zhidkov, E. P.

AU - Shakhbagyan, R. L.

PY - 1995/12/31

Y1 - 1995/12/31

N2 - 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.

AB - 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.

M3 - Article

JO - Communications of Joint Institute for Nuclear Research

JF - Communications of Joint Institute for Nuclear Research

ER -