Loading [MathJax]/jax/output/SVG/config.js
Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 139, Number 2, Pages 291–306
DOI: https://doi.org/10.4213/tmf53 (Mi tmf53) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Finite-Dimensional Approximations for Scattering Theory Operators in the Wave-Packet Representation

V. I. Kukulin, O. A. Rubtsova

Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University
Full-text PDF (458 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf53
Abstract: We consider some types of packet discretization for continuous spectra in quantum scattering problems. As we previously showed, this discretization leads to a convenient finite-dimensional (i.e. matrix) approximation for integral operators in the scattering theory and allows reducing the solution of singular integral equations connected with the scattering theory to some suitable purely algebraic equations on an analytic basis. All singularities are explicitly singled out. Our primary emphasis is on realizing the method practically.
Keywords: scattering theory, wave operator, wave packets, Green's function, discretization of continuum.
Received: 10.04.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 139, Issue 2, Pages 693–705
DOI: https://doi.org/10.1023/B:TAMP.0000026185.57301.96
Bibliographic databases:
Language: Russian
Citation: V. I. Kukulin, O. A. Rubtsova, “Finite-Dimensional Approximations for Scattering Theory Operators in the Wave-Packet Representation”, TMF, 139:2 (2004), 291–306; Theoret. and Math. Phys., 139:2 (2004), 693–705
Citation in format AMSBIB
\Bibitem{KukRub04}
\by V.~I.~Kukulin, O.~A.~Rubtsova
\paper Finite-Dimensional Approximations for Scattering Theory Operators in the Wave-Packet Representation
\jour TMF
\yr 2004
\vol 139
\issue 2
\pages 291--306
\mathnet{http://mi.mathnet.ru/tmf53}
\crossref{https://doi.org/10.4213/tmf53}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2084559}
\zmath{https://zbmath.org/?q=an:1178.81272}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004TMP...139..693K}
\transl
\jour Theoret. and Math. Phys.
\yr 2004
\vol 139
\issue 2
\pages 693--705
\crossref{https://doi.org/10.1023/B:TAMP.0000026185.57301.96}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000222138000008}
Linking options:
  • https://www.mathnet.ru/eng/tmf53
  • https://doi.org/10.4213/tmf53
  • https://www.mathnet.ru/eng/tmf/v139/i2/p291
    • This publication is cited in the following 6 articles:
    1. Pupyshev, VV, “Generalizations of the Fock and Kato expansions to systems of three quantum particles”, Physics of Particles and Nuclei, 40:4 (2009), 391  crossref  adsnasa  isi  scopus  scopus
    2. V. I. Kukulin, V. N. Pomerantsev, O. A. Rubtsova, “Wave-packet continuum discretization method for solving the three-body scattering problem”, Theoret. and Math. Phys., 150:3 (2007), 403–424  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. Rubtsova OA, Kukulin VI, “Wave-packet discretization of a continuum: Path toward practically solving few-body scattering problems”, Physics of Atomic Nuclei, 70:12 (2007), 2025–2045  crossref  adsnasa  isi  scopus  scopus
    4. The Mathematica GuideBook for Symbolics, 2006, 978  crossref
    5. V. I. Kukulin, O. A. Rubtsova, “Solving the Charged-Particle Scattering Problem by Wave Packet Continuum Discretization”, Theoret. and Math. Phys., 145:3 (2005), 1711–1726  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    6. Rubtsova O.A., Kukulin V.I., “Efficient technique for solving few-body scattering problems by the wave-packet continuum discretisation”, Few Body Problems in Physics '02, Few-Body Systems Supplementum, 14, 2003, 211–214  crossref  isi
    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
    Statistics & downloads:
    Abstract page:418
    Full-text PDF :202
    References:88
    First page:1
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025