Quantum aspects of the integrability of the third Painlevé equation and a non-stationary time Schrödinger equation with the Morse potential

DOI10.13108/2016-8-3-136zbMath1463.34367OpenAlexW2588949017MaRDI QIDQ5136192

B. I. Suleimanov

Publication date: 25 November 2020

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

Full work available at URL: http://mathnet.ru/eng/ufa332

zbMATH Keywords

linearizationHamiltonianquantizationPainlevé equationsisomonodromic deformationsMorse potentialnonstationary Schrödinger equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (2)

Isomonodromic quantization of the second Painlevé equation by means of conservative Hamiltonian systems with two degrees of freedom ⋮ Solutions to analogues of non-stationary Schrödinger equations defined by isomonodromic Hamilton system $H^{2+1+1+1}$

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