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

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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.
Note di Matematica vol 23, 173 (2004)

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Mathematical Physics, High Energy Physics - Theory, Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/58047

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0504065
 http://arxiv.org/abs/math-ph/0504065

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arXiv