This article is cited in 11 papers

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

S. Yu. Slavyanov^a, F. R. Vukailovich<sup>b

a</sup> Saint-Petersburg State University
^b Vinca Institute of Nuclear Sciences

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

DOI: 10.4213/tmf5970

 English version: Theoretical and Mathematical Physics, 2007, 150:1, 123–131

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