Isomonodromic quantization of the second Painlevé equation by means of conservative Hamiltonian systems with two degrees of freedom
DOI10.1090/spmj/1739OpenAlexW4307715066MaRDI QIDQ5047970
Publication date: 17 November 2022
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/spmj/1739
HamiltonianquantizationPainlevé equationstime-dependent Schrödinger equationisomonodromytronquée solutions
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) NLS equations (nonlinear Schrödinger equations) (35Q55) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56) Canonical quantization (81S08) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)
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