Alternative Structures and Bihamiltonian Systems

G. Marmo, G. Morandi, A. Simoni, F. Ventriglia

备注：: 18 pages
DOI：: 10.1088/0305-4470/35/40/303

英文摘要：

In the study of bi-Hamiltonian systems (both classical and quantum) one starts with a given dynamics and looks for all alternative Hamiltonian descriptions it admits.In this paper we start with two compatible Hermitian structures (the quantum analog of two compatible classical Poisson brackets) and look for all the dynamical systems which turn out to be bi-Hamiltonian with respect to them.

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