Algebraic spectral relations for elliptic quantum Calogero–Moser problems
نویسنده
چکیده
Explicit algebraic relations between the quantum integrals of the elliptic Calogero–Moser quantum problems related to the root systems A2 and B2 are found.
منابع مشابه
On Algebraic Integrability of the Deformed Elliptic Calogero–Moser Problem
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...
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We study the elliptic C n and BC n Ruijsenaars-Schneider models which is elliptic generalization of system given in [1]. The Lax pairs for these models are constructed by Hamiltonian reduction technology. We show that the spectral curves can be parameter-ized by the involutive integrals of motion for these models. Taking nonrelativistic limit and scaling limit, we verify that they lead to the s...
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تاریخ انتشار 1999