Processing math: 100%
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, 2005, Volume 142, Number 2, Pages 346–364
DOI: https://doi.org/10.4213/tmf1787 (Mi tmf1787) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Wave functions of the toda chain with boundary interaction

N. Z. Iorgov, V. N. Shadura

N. N. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine
Full-text PDF (288 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf1787
Abstract: We give an integral representation of the wave functions of the quantum N-particle Toda chain with boundary interaction. In the case of the Toda chain with a one-boundary interaction, we obtain the wave function by an integral transformation from the wave functions of the open Toda chain. The kernel of this transformation is given explicitly in terms of Γ-functions. The wave function of the Toda chain with a two-boundary interaction is obtained from the previous wave functions by an integral transformation. In this case, the difference equation for the kernel of the integral transformation admits a separation of variables. The separated difference equations coincide with the Baxter equation.
Keywords: quantum Toda chain, separation of variables, boundary interaction.
English version:
Theoretical and Mathematical Physics, 2005, Volume 142, Issue 2, Pages 289–305
DOI: https://doi.org/10.1007/s11232-005-0012-2
Bibliographic databases:
Language: Russian
Citation: N. Z. Iorgov, V. N. Shadura, “Wave functions of the toda chain with boundary interaction”, TMF, 142:2 (2005), 346–364; Theoret. and Math. Phys., 142:2 (2005), 289–305
Citation in format AMSBIB
\Bibitem{IorSha05}
\by N.~Z.~Iorgov, V.~N.~Shadura
\paper Wave functions of the toda chain with boundary interaction
\jour TMF
\yr 2005
\vol 142
\issue 2
\pages 346--364
\mathnet{http://mi.mathnet.ru/tmf1787}
\crossref{https://doi.org/10.4213/tmf1787}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2141783}
\zmath{https://zbmath.org/?q=an:1178.81108}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2005TMP...142..289I}
\elib{https://elibrary.ru/item.asp?id=9135953}
\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 142
\issue 2
\pages 289--305
\crossref{https://doi.org/10.1007/s11232-005-0012-2}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000227756500012}
Linking options:
  • https://www.mathnet.ru/eng/tmf1787
  • https://doi.org/10.4213/tmf1787
  • https://www.mathnet.ru/eng/tmf/v142/i2/p346
    • This publication is cited in the following 5 articles:
    1. van Diejen J.F., Emsiz E., “Bispectral Dual Difference Equations For the Quantum Toda Chain With Boundary Perturbations”, Int. Math. Res. Notices, 2019:12 (2019), 3740–3767  crossref  mathscinet  isi  scopus
    2. Kozlowski K.K., “Aspects of the Inverse Problem for the Toda Chain”, J. Math. Phys., 54:12 (2013), 121902  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    3. Nikolai Iorgov, Vladimir Roubtsov, Vitaly Shadura, Yuri Tykhyy, “Relativistic Toda Chain with Boundary Interaction at Root of Unity”, SIGMA, 3 (2007), 013, 14 pp.  mathnet  crossref  mathscinet  zmath
    4. von Gehlen G, Iorgov N, Pakuliak S, et al, “Baxter-Bazhanov-Stroganov model: separation of variables and the Baxter equation”, Journal of Physics A-Mathematical and General, 39:23 (2006), 7257–7282  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    5. Nikolai Iorgov, “Eigenvectors of Open Bazhanov–Stroganov Quantum Chain”, SIGMA, 2 (2006), 019, 10 pp.  mathnet  crossref  mathscinet  zmath
    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:392
    Full-text PDF :269
    References:51
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025