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.
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页码：98 / 109
页数：12
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