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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 130, Number 1, Pages 64–86
DOI: https://doi.org/10.4213/tmf291
(Mi tmf291)
 

This article is cited in 15 scientific papers (total in 15 papers)

Formulation of Quantum Scattering Theory in Terms of Proper Differentials (Stationary Wave Packets)

V. I. Kukulin, O. A. Rubtsova

Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University
References:
Abstract: Constructing the basic operators of scattering theory on and off the mass shell in terms of spatially bounded stationary wave packets or proper differentials is described. For this, we use a technique based on a certain scheme for discretizing the continuum. Finite-dimensional approximations for the Green's functions and $T$-matrix, which are first found here, are immediately constructed for any energy using a single simple diagonalization of the Hamiltonian matrix in an $L_2$-type complete basis. We show that the developed approach leads to a convenient finite-dimensional representation of the scattering operators in the basis of the wave functions of a harmonic oscillator. The method allows an immediate extension to the problem of three and more bodies.
Received: 23.05.2001
English version:
Theoretical and Mathematical Physics, 2002, Volume 130, Issue 1, Pages 54–73
DOI: https://doi.org/10.1023/A:1013828431342
Bibliographic databases:
Language: Russian
Citation: V. I. Kukulin, O. A. Rubtsova, “Formulation of Quantum Scattering Theory in Terms of Proper Differentials (Stationary Wave Packets)”, TMF, 130:1 (2002), 64–86; Theoret. and Math. Phys., 130:1 (2002), 54–73
Citation in format AMSBIB
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\by V.~I.~Kukulin, O.~A.~Rubtsova
\paper Formulation of Quantum Scattering Theory in Terms of Proper Differentials (Stationary Wave Packets)
\jour TMF
\yr 2002
\vol 130
\issue 1
\pages 64--86
\mathnet{http://mi.mathnet.ru/tmf291}
\crossref{https://doi.org/10.4213/tmf291}
\zmath{https://zbmath.org/?q=an:1044.81118}
\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 130
\issue 1
\pages 54--73
\crossref{https://doi.org/10.1023/A:1013828431342}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000173912900005}
Linking options:
  • https://www.mathnet.ru/eng/tmf291
  • https://doi.org/10.4213/tmf291
  • https://www.mathnet.ru/eng/tmf/v130/i1/p64
  • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:540
    Full-text PDF :248
    References:72
    First page:1
     
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