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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)
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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 $\Gamma$-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
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\jour Theoret. and Math. Phys.
\yr 2005
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\issue 2
\pages 289--305
\crossref{https://doi.org/10.1007/s11232-005-0012-2}
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  • https://doi.org/10.4213/tmf1787
  • https://www.mathnet.ru/eng/tmf/v142/i2/p346
    • 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
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