On regularizing numerical algorithms for solving the inverse problem of quantum scattering theory

Ruben G. Hayrapetyan; J. Busha; E. P. Zhidkov

On regularizing numerical algorithms for solving the inverse problem of quantum scattering theory

Ruben G. Hayrapetyan, J. Busha, E. P. Zhidkov

Kettering University

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

Abstract

The numerical algorithm for the solving the inverse problem of the quantum scattering theory is constructed. The algorithm is based on the discretization of integral equations by means of the Simpson formula and on two asymptotic regularizations. In this connection the inversion procedure for a block Toeplitz matrix is modified. It permits to avoid the unstable procedure of the numerical differentiation. The comparison of the numerical results of the methods based on different discretizations of integral equations is performed.

Original language	American English
Journal	Communications of Joint Institute for Nuclear Research
Volume	27
State	Published - Jan 1 1996

Disciplines

Mechanical Engineering

Cite this

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title = "On regularizing numerical algorithms for solving the inverse problem of quantum scattering theory",

abstract = " The numerical algorithm for the solving the inverse problem of the quantum scattering theory is constructed. The algorithm is based on the discretization of integral equations by means of the Simpson formula and on two asymptotic regularizations. In this connection the inversion procedure for a block Toeplitz matrix is modified. It permits to avoid the unstable procedure of the numerical differentiation. The comparison of the numerical results of the methods based on different discretizations of integral equations is performed. ",

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AU - Busha, J.

AU - Zhidkov, E. P.

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Y1 - 1996/1/1

N2 - The numerical algorithm for the solving the inverse problem of the quantum scattering theory is constructed. The algorithm is based on the discretization of integral equations by means of the Simpson formula and on two asymptotic regularizations. In this connection the inversion procedure for a block Toeplitz matrix is modified. It permits to avoid the unstable procedure of the numerical differentiation. The comparison of the numerical results of the methods based on different discretizations of integral equations is performed.

AB - The numerical algorithm for the solving the inverse problem of the quantum scattering theory is constructed. The algorithm is based on the discretization of integral equations by means of the Simpson formula and on two asymptotic regularizations. In this connection the inversion procedure for a block Toeplitz matrix is modified. It permits to avoid the unstable procedure of the numerical differentiation. The comparison of the numerical results of the methods based on different discretizations of integral equations is performed.

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M3 - Article

VL - 27

JO - Communications of Joint Institute for Nuclear Research

JF - Communications of Joint Institute for Nuclear Research

ER -

On regularizing numerical algorithms for solving the inverse problem of quantum scattering theory

Abstract

Disciplines

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