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, 2003, Volume 135, Number 3, Pages 427–433
DOI: https://doi.org/10.4213/tmf198 (Mi tmf198) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Coulomb Problem in a One-Dimensional Space with Constant Positive Curvature

L. G. Mardoyana, G. S. Pogosyanab, A. N. Sisakyanb

a Yerevan State University
b Joint Institute for Nuclear Research
Full-text PDF (182 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf198
Abstract: We construct a complex transformation $S_{1\mathbb C}\to S_1$ generalizing the known Hurwitz transformation in the Euclidean space for one-dimensional quantum mechanics. As in the case of the flat space, this transformation allows establishing the connection between the Coulomb problem and the oscillator problem with the Calogero–Sutherland potential added. We fully describe the motion in a Coulomb field in $S_1$ and determine the energy spectrum and the wave functions with the correct normalizing constant.
Keywords: one-dimensional hydrogen atom, Schrödinger equation, Hurwitz transformation, constant-curvature space.
English version:
Theoretical and Mathematical Physics, 2003, Volume 135, Issue 3, Pages 808–813
DOI: https://doi.org/10.1023/A:1024078803869
Bibliographic databases:
Language: Russian
Citation: L. G. Mardoyan, G. S. Pogosyan, G. S. Pogosyan, A. N. Sisakyan, “Coulomb Problem in a One-Dimensional Space with Constant Positive Curvature”, TMF, 135:3 (2003), 427–433; Theoret. and Math. Phys., 135:3 (2003), 808–813
Citation in format AMSBIB
\Bibitem{MarPogSis03}
\by L.~G.~Mardoyan, G.~S.~Pogosyan, G.~S.~Pogosyan, A.~N.~Sisakyan
\paper Coulomb Problem in a One-Dimensional Space with Constant Positive Curvature
\jour TMF
\yr 2003
\vol 135
\issue 3
\pages 427--433
\mathnet{http://mi.mathnet.ru/tmf198}
\crossref{https://doi.org/10.4213/tmf198}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1984447}
\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 135
\issue 3
\pages 808--813
\crossref{https://doi.org/10.1023/A:1024078803869}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000184367300006}
Linking options:
  • https://www.mathnet.ru/eng/tmf198
  • https://doi.org/10.4213/tmf198
  • https://www.mathnet.ru/eng/tmf/v135/i3/p427
    • This publication is cited in the following 4 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