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Numerical Method for Solving the Inverse Problem of Quantum Scattering Theory

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Inverse and Algebraic Quantum Scattering Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 488))

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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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© 1997 Springer-Verlag Berlin Heidelberg

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Airapetyan, R.G., Puzynin, I.V., Zhidkov, E.P. (1997). Numerical Method for Solving the Inverse Problem of Quantum Scattering Theory. In: Apagyi, B., Endrédi, G., Lévay, P. (eds) Inverse and Algebraic Quantum Scattering Theory. Lecture Notes in Physics, vol 488. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-14145-8_8

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  • DOI: https://doi.org/10.1007/978-3-662-14145-8_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-14147-2

  • Online ISBN: 978-3-662-14145-8

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