On Algebraic Integrability of the Deformed Elliptic Calogero–Moser Problem
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چکیده
On Algebraic Integrability of the Deformed Elliptic Calogero–Moser Problem L A KHODARINOVA † and I A PRIKHODSKY ‡ † Department of Mathematics, Statistics and Operational Research The Nottingham Trent University, Burton Street, Nottingham NG1 4BU, UK E-mail: [email protected] ‡ Institute of Mechanical Engineering, Russian Academy of Sciences M. Haritonievsky, 4, Centre, Moscow, 101830, Russia
منابع مشابه
Quantum integrability of the deformed elliptic Calogero–Moser problem
where all but one “masses” are equal, m1 = m −1, m2 = . . . = mn = 1, m is a real parameter, p̂j = i ∂ ∂xj , j = 1, . . . , n, and ℘ is the classical Weierstrass elliptic function. The case when m is integer is a special one: in that case a stronger version of integrability (the so-called algebraic integrability) was conjectured [2]. The first results in this direction were found in [3], where i...
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تاریخ انتشار 2000