Canonically conjugate variables for the Volterra lattice with periodic boundary conditions
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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.
Key wordsintegrable system Volterra model periodic boundary conditions Toda lattice Poisson bracket canonically conjugate variables Jacobi operator
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