Takano's Theory of Quantum Painleve Equations

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dc.creatorUeno, Yuichi
dc.date2008-04-10
dc.date.accessioned2026-07-07T09:31:31Z
dc.date.available2026-07-07T09:31:31Z
dc.descriptionRecently, a quantum version of Painleve equations from the point of view of their symmetries was proposed by H. Nagoya. These quantum Painleve equations can be written as Hamiltonian systems with a (noncommutative) polynomial Hamiltonian. We give a characterization of the quantum Painleve equations by certain holomorphic properties. Namely, we introduce canonical transformations such that the Painleve Hamiltonian system is again transformed into a polynomial Hamiltonian system, and we show that the Hamiltonian can be uniquely characterized through this holomorphic property.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0804.1644
dc.identifierhttp://arxiv.org/abs/0804.1644
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158486
dc.subjectMathematical Physics
dc.titleTakano's Theory of Quantum Painleve Equations
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