Geodesic
Isomonodromic deformations and ``antiquantization" for the~simplest ordinary differential equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 1, pp. 143-151

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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.
Mots-clés : isomonodromic deformations, antiquantization
Keywords: accessory parameter, inessential singularity. 
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     author = {S. Yu. Slavyanov and F. R. Vukailovich},
     title = {Isomonodromic deformations and ``antiquantization" for the~simplest ordinary differential equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
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     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_150_1_a7/}
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S. Yu. Slavyanov; F. R. Vukailovich. Isomonodromic deformations and ``antiquantization" for the~simplest ordinary differential equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 1, pp. 143-151. http://geodesic.mathdoc.fr/item/TMF_2007_150_1_a7/