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, 2014, Volume 180, Number 3, Pages 342–367
DOI: https://doi.org/10.4213/tmf8582
(Mi tmf8582)
 

This article is cited in 5 scientific papers (total in 5 papers)

The length and effective radius of two-dimensional scattering of a quantum particle by a centrally symmetric short-range potential

V. V. Pupyshev

Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
Full-text PDF (663 kB) Citations (5)
References:
Abstract: We derive and qualitatively analyze nonlinear and linear equations for the scattering length and effective radius. We find and investigate exact solutions of these equations in the case of a centrally symmetric rectangular potential and elucidate a relation between the effective radius and the scattering length. We are especially interested in the cases of zero and unbounded scattering lengths.
Keywords: two-dimensional scattering, short-range potential, scattering length, effective radius.
Received: 29.07.2013
Revised: 20.05.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 180, Issue 3, Pages 1051–1072
DOI: https://doi.org/10.1007/s11232-014-0199-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Pupyshev, “The length and effective radius of two-dimensional scattering of a quantum particle by a centrally symmetric short-range potential”, TMF, 180:3 (2014), 342–367; Theoret. and Math. Phys., 180:3 (2014), 1051–1072
Citation in format AMSBIB
\Bibitem{Pup14}
\by V.~V.~Pupyshev
\paper The~length and effective radius of two-dimensional scattering of a~quantum particle by a~centrally symmetric short-range potential
\jour TMF
\yr 2014
\vol 180
\issue 3
\pages 342--367
\mathnet{http://mi.mathnet.ru/tmf8582}
\crossref{https://doi.org/10.4213/tmf8582}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1407474}
\elib{https://elibrary.ru/item.asp?id=22834525}
\transl
\jour Theoret. and Math. Phys.
\yr 2014
\vol 180
\issue 3
\pages 1051--1072
\crossref{https://doi.org/10.1007/s11232-014-0199-1}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000343643800005}
\elib{https://elibrary.ru/item.asp?id=24022397}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919819225}
Linking options:
  • https://www.mathnet.ru/eng/tmf8582
  • https://doi.org/10.4213/tmf8582
  • https://www.mathnet.ru/eng/tmf/v180/i3/p342
  • This publication is cited in the following 5 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
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024