“Quantizations” of isomonodromic Hamilton system $H^{\frac{7}{2}+1}$

DOI10.13108/2017-9-4-97zbMath1474.37079OpenAlexW2777099672MaRDI QIDQ5136733

B. I. Suleimanov, Viktor Aleksandrovich Pavlenko

Publication date: 27 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa409

zbMATH Keywords

Schrödinger equationquantizationPainlevé equationsHamilton systemsisomonodromic deformations method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56) Canonical quantization (81S08) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)

Related Items (4)

Isomonodromic quantization of the second Painlevé equation by means of conservative Hamiltonian systems with two degrees of freedom ⋮ Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type ⋮ Solutions to analogues of non-stationary Schrödinger equations defined by isomonodromic Hamilton system $H^{2+1+1+1}$ ⋮ On analogs of wave catastrophe functions that are solutions of nonlinear integrable equations

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