Canonically conjugate variables for the Volterra lattice with periodic boundary conditions

被引：2

作者：

Penskoi, AV ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 117234, Russia

来源：

MATHEMATICAL NOTES | 1998年 / 64卷 / 1-2期

关键词：

integrable system; Volterra model; periodic boundary conditions; Toda lattice; Poisson bracket; canonically conjugate variables; Jacobi operator;

D O I：

10.1007/BF02307200

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Volterra lattice is considered. This dynamical system is known to be Hamiltonian with respect to two compatible Poisson brackets (quadratic and cubic). For each of the two brackets, a set of canonically conjugate variables is found by using the spectral theory of the Jacobi operator.

引用

页码：98 / 109

页数：12

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