Multi-Hamiltonian Structure of Lotka-Volterra and Quantum Volterra Models

Details Multi-Hamiltonian Structure of Lotka-Volterra and Quantum Volterra Models Multi-Hamiltonian Structure of Lotka-Volterra and Quantum Volterra Models

1994-12-14

arxiv.org/abs/hep-th/9412122v1

Nucl.Phys. B445 (1995) 501-515

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1016/0550-3213(95)00152-I

We consider evolution equations of the Lotka-Volterra type, and elucidate especially their formulation as canonical Hamiltonian systems. The general conditions under which these equations admit several conserved quantities (multi-Hamiltonians) are analysed. A special case, which is related to the Liouville model on a lattice, is considered in detail, both as aclassical and as aquantal system

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