Numerical Method for Solving the Inverse Problem of Quantum Scattering Theory

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

Numerical Method for Solving the Inverse Problem of Quantum Scattering Theory

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

Kettering University

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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
Title of host publication	Lecture Notes in Physics
State	Published - Jan 1 1997

Disciplines

Mechanical Engineering

Cite this

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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. ",

author = "Hayrapetyan, {Ruben G.} and Puzynin, {Igor V.} and Zhidkov, {Eugenie P.}",

note = "Part of the Lecture Notes in Physics book series (LNP, volume 488) 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{"}.",

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language = "American English",

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TY - CHAP

T1 - Numerical Method for Solving the Inverse Problem of Quantum Scattering Theory

AU - Hayrapetyan, Ruben G.

AU - Puzynin, Igor V.

AU - Zhidkov, Eugenie P.

N1 - Part of the Lecture Notes in Physics book series (LNP, volume 488) 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".

PY - 1997/1/1

Y1 - 1997/1/1

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://link.springer.com/chapter/10.1007/978-3-662-14145-8_8

M3 - Chapter

BT - Lecture Notes in Physics

ER -

Numerical Method for Solving the Inverse Problem of Quantum Scattering Theory

Abstract

Disciplines

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