POLYNOMIAL HAMILTONIANS FOR QUANTUM PAINLEVÉ EQUATIONS
نویسندگان
چکیده
منابع مشابه
New Expressions for Discrete Painlevé Equations
Discrete Painlevé equations are studied from various points of view as integrable systems [2], [7]. They are discrete equations which are reduced to the Painlevé differential equations in a suitable limiting process, and moreover, which pass the singularity confinement test. Passing this test can be thought of as a difference version of the Painlevé property. The Painlevé differential equations...
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— Time independent Hamiltonians of the physical type H = (P 2 1 + P 2 2 )/2 + V (Q1, Q2) pass the Painlevé test for only seven potentials V , known as the Hénon-Heiles Hamiltonians, each depending on a finite number of free constants. Proving the Painlevé property was not yet achieved for generic values of the free constants. We integrate each missing case by building a birational transformatio...
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2009
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x09005789