Numerical Method for Solving the Inverse Problem of Quantum Scattering Theory

Ruben G. Hayrapetyan; Igor V. Puzynin; Eugeni P. Zhidkov

doi:10.1007/BFb0104927

Numerical Method for Solving the Inverse Problem of Quantum Scattering Theory

Ruben G. Hayrapetyan, Igor V. Puzynin, Eugeni P. Zhidkov

Kettering University

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

Abstract

We present a new numerical method for solving the problem of the reconstruction of interaction potential by a phase shift given on a set of closed intervals in (l,k)-plane, satisfying certain geometrical ”Staircase Condition”. The method is based on the Variable Phase Approach and on the modification of the Continuous Analogy of the Newton Method.

Original language	American English
Journal	Inverse and Algebraic Quantum Scattering Theory
Volume	488
DOIs	https://doi.org/10.1007/BFb0104927
State	Published - May 6 2007

Disciplines

Mathematics

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https://link.springer.com/chapter/10.1007/BFb0104927

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title = "Numerical Method for Solving the Inverse Problem of Quantum Scattering Theory",

abstract = " We present a new numerical method for solving the problem of the reconstruction of interaction potential by a phase shift given on a set of closed intervals in (l,k)-plane, satisfying certain geometrical ”Staircase Condition”. The method is based on the Variable Phase Approach and on the modification of the Continuous Analogy of the Newton Method.",

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AU - Hayrapetyan, Ruben G.

AU - Puzynin, Igor V.

AU - Zhidkov, Eugeni P.

PY - 2007/5/6

Y1 - 2007/5/6

N2 - We present a new numerical method for solving the problem of the reconstruction of interaction potential by a phase shift given on a set of closed intervals in (l,k)-plane, satisfying certain geometrical ”Staircase Condition”. The method is based on the Variable Phase Approach and on the modification of the Continuous Analogy of the Newton Method.

AB - We present a new numerical method for solving the problem of the reconstruction of interaction potential by a phase shift given on a set of closed intervals in (l,k)-plane, satisfying certain geometrical ”Staircase Condition”. The method is based on the Variable Phase Approach and on the modification of the Continuous Analogy of the Newton Method.

UR - https://digitalcommons.kettering.edu/mathematics_facultypubs/79

UR - https://link.springer.com/chapter/10.1007/BFb0104927

U2 - 10.1007/BFb0104927

DO - 10.1007/BFb0104927

M3 - Article

VL - 488

JO - Inverse and Algebraic Quantum Scattering Theory

JF - Inverse and Algebraic Quantum Scattering Theory

ER -

Numerical Method for Solving the Inverse Problem of Quantum Scattering Theory

Abstract

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