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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 150, Number 1, Pages 143–151
DOI: https://doi.org/10.4213/tmf5970 (Mi tmf5970) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Isomonodromic deformations and "antiquantization" for the simplest ordinary differential equations

S. Yu. Slavyanova, F. R. Vukailovichb

a Saint-Petersburg State University
b Vinca Institute of Nuclear Sciences
Full-text PDF (382 kB) Citations (11)
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DOI: https://doi.org/10.4213/tmf5970
Abstract: We consider three different models of linear differential equations and their isomonodromic deformations. We show that each of the models has its own specificity, although all of them lead to the same final result. It turns out that isomonodromic deformations are closely related to the Hamiltonian structure of both classical mechanics and quantum mechanics.
Keywords: isomonodromic deformations, antiquantization, accessory parameter, inessential singularity.
Received: 29.08.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 150, Issue 1, Pages 123–131
DOI: https://doi.org/10.1007/s11232-007-0009-0
Bibliographic databases:
Language: Russian
Citation: S. Yu. Slavyanov, F. R. Vukailovich, “Isomonodromic deformations and "antiquantization" for the simplest ordinary differential equations”, TMF, 150:1 (2007), 143–151; Theoret. and Math. Phys., 150:1 (2007), 123–131
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v150/i1/p143
    • This publication is cited in the following 11 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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    References:69
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