Alternative Structures and Bihamiltonian Systems

Details Alternative Structures and Bihamiltonian Systems Alternative Structures and Bihamiltonian Systems

2002-05-10

arxiv.org/abs/quant-ph/0205052v1

Physics

Quantum Physics

18 pages

Scientific paper

10.1088/0305-4470/35/40/303

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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