Classical and Quantum Systems: Alternative Hamiltonian Descriptions
نویسنده
چکیده
In complete analogy with the classical situation (which is briefly reviewed) it is possible to define bi-Hamiltonian descriptions for Quantum systems. We also analyze compatible Hermitian structures in full analogy with compatible Poisson structures.
منابع مشابه
ar X iv : q ua nt - p h / 02 05 05 2 v 1 1 0 M ay 2 00 2 ALTERNATIVE STRUCTURES AND BIHAMILTONIAN SYSTEMS
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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