Multi-Hamiltonian Structure of Lotka-Volterra and Quantum Volterra Models
High Energy Physics - Theory
2016-09-06 v1
Abstract
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
Keywords
Cite
@article{arxiv.hep-th/9412122,
title = {Multi-Hamiltonian Structure of Lotka-Volterra and Quantum Volterra Models},
author = {C. Cronstrom and M. Noga},
journal= {arXiv preprint arXiv:hep-th/9412122},
year = {2016}
}
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14 pages