Quantum Bi-Hamiltonian systems, alternative Hermitian structures and Bi-Unitary transformations
نویسنده
چکیده
We discuss the dynamical quantum systems which turn out to be biunitary with respect to the same alternative Hermitian structures in a infinite-dimensional complex Hilbert space. We give a necessary and sufficient condition so that the Hermitian structures are in generic position. Finally the transformations of the bi-unitary group are explicitly obtained.
منابع مشابه
Alternative Algebraic Structures from Bi-hamiltonian Quantum Systems
We discuss the alternative algebraic structures on the manifold of quantum states arising from alternative Hermitian structures associated with quantum bi-Hamiltonian systems. We also consider the consequences at the level of the Heisenberg picture in terms of deformations of the associative product on the space of observables.
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