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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 2, Pages 312–320
DOI: https://doi.org/10.4213/tmf6902 (Mi tmf6902) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Quantum generalized Toda system

D. V. Talalaevab

a Lomonosov Moscow State University, Moscow, Russia
b Institute for Theoretical and Experimental Physics, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf6902
Abstract: We construct a "spectral curve" for the generalized Toda system, which allows efficiently finding its quantization. In turn, the quantization is realized using the technique of the quantum characteristic polynomial for the Gaudin system and an appropriate Alder–Kostant–Symes reduction. We also discuss some relations of this result to the recent consideration of the Drinfeld Zastava space, the monopole space, and corresponding symmetries of the Borel Yangian.
Keywords: quantization, integrable system, flag space.
Received: 28.04.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 2, Pages 691–699
DOI: https://doi.org/10.1007/s11232-012-0066-x
Bibliographic databases:
Language: Russian
Citation: D. V. Talalaev, “Quantum generalized Toda system”, TMF, 171:2 (2012), 312–320; Theoret. and Math. Phys., 171:2 (2012), 691–699
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v171/i2/p312
    • This publication is cited in the following 1 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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