The A3 Calogero-Sutherland System: Constructing a separating Kernel

Mangazeev, Vladimir

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The A3 Calogero-Sutherland System: Constructing a separating Kernel

Date

2002

Authors

Mangazeev, Vladimir

Publisher

MAIK Nauka-Interperiodica

Abstract

The method of separation of variables is applied to the A3 Calogero-Sutherland system. Using conjectures on the form of separated functions, we obtain a system of partial differential equations for the kernel of the separating operator and investigate the analytic properties of its solution.