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

G. Marmo·G. Scolarici·A. Simoni·F. Ventriglia
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Abstract

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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G. Marmo, G. Scolarici, A. Simoni, F. Ventriglia. 2005-04-21. Quantum Bi-Hamiltonian systems, alternative Hermitian structures and Bi-Unitary transformations. https://arxiv.org/abs/math-ph/0504065

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