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Path toward fast calculations in quantum scattering theory

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Abstract

Finite-dimensional approximations for scattering theory operators and for the Lippmann-Schwinger equation are obtained by going over to a basis of stationary wave packets. A multidimensional wave-packet basis is used for the first time, which allows to avoid expanding wave functions in partial waves and thereby to reduce substantially, at intermediate energies, the dimensions of the basis space used. In this wave-packet subspace, a finite-dimensional analytic representation of the free-particle Green’s function is obtained, which simplifies essentially solving respective equations. The possibility of a massive-parallel treatment of the resulting equations is shown.

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Author information

Authors and Affiliations

  1. National Research Nuclear University MEPhI, Kashirskoe sh. 31, Moscow, 115409, Russia

    S. A. Kelvich

  2. Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, 119991, Russia

    V. I. Kukulin & O. A. Rubtsova

Authors
  1. S. A. Kelvich
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  2. V. I. Kukulin
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  3. O. A. Rubtsova
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Corresponding author

Correspondence to S. A. Kelvich.

Additional information

We dedicate this article to the 80th anniversary of the birth of Professor V.B. Belyaev from Joint Institute for Nuclear Research (JINR, Dubna), who made a significant contribution to constructing finite-dimensional approximations of scattering theory operators and to the development of new methods for solving equations of multiparticle scattering theory.

Original Russian Text © S.A. Kelvich, V.I. Kukulin, O.A. Rubtsova, 2014, published in Yadernaya Fizika, 2014, Vol. 77, No. 4, pp. 466–473.

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Kelvich, S.A., Kukulin, V.I. & Rubtsova, O.A. Path toward fast calculations in quantum scattering theory. Phys. Atom. Nuclei 77, 438–445 (2014). https://doi.org/10.1134/S1063778814030132

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  • DOI: https://doi.org/10.1134/S1063778814030132

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