Remarks on the GNS Representation and the Geometry of Quantum States
نویسندگان
چکیده
It is shown how to introduce a geometric description of the algebraic approach to the non-relativistic quantum mechanics. It turns out that the GNS representation provides not only symplectic but also Hermitian realization of a ‘quantum Poisson algebra’. We discuss alternative Hamiltonian structures emerging out of different GNS representations which provide a natural setting for quantum bi-Hamiltonian systems.
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عنوان ژورنال:
- Open Syst. Inform. Dynam.
دوره 16 شماره
صفحات -
تاریخ انتشار 2009