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Green's function and scattering matrix in a discrete oscillator basis

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Abstract

Convenient analytic finite-dimensional approximations for basic operators of scattering theory-specifically, the Green's function and the off-shell T matrix—are constructed in an oscillator basis for real-and complex-valued local and nonlocal interaction potentials. It is shown that the approximate operators converge smoothly to their exact counterparts as the dimensions of the oscillator basis are increased step by step. The simple and rather accurate formulas obtained in this study can be widely used in various applications of quantum scattering theory.

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Authors and Affiliations

  1. Institute of Nuclear Physics, Moscow State University, Vorob'evy gory, Moscow, 119899, Russia

    O. A. Rubtsova & V. I. Kukulin

Authors
  1. O. A. Rubtsova
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  2. V. I. Kukulin
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__________

Translated from Yadernaya Fizika, Vol. 64, No. 10, 2001, pp. 1882–1894.

Original Russian Text Copyright © 2001 by Rubtsova, Kukulin.

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Rubtsova, O.A., Kukulin, V.I. Green's function and scattering matrix in a discrete oscillator basis. Phys. Atom. Nuclei 64, 1799–1811 (2001). https://doi.org/10.1134/1.1414928

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  • DOI: https://doi.org/10.1134/1.1414928

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