Quantum Bi-Hamiltonian systems, alternative Hermitian structures and Bi-Unitary transformations

Details Quantum Bi-Hamiltonian systems, alternative Hermitian structures and Bi-Unitary transformations Quantum Bi-Hamiltonian systems, alternative Hermitian structures and Bi-Unitary transformations

2005-04-21

arxiv.org/abs/math-ph/0504065v1

Physics

Mathematical Physics

Note di Matematica vol 23, 173 (2004)

Scientific paper

We discuss the dynamical quantum systems which turn out to be bi-unitary 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.

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