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

2005/04/21 by G. Marmo, G. Scolarici, Marmo, G. +5
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.math-ph/0504065

Note di Matematica vol 23, 173 (2004)

arxiv created 2005/04/21 · arxiv updated 2009/12/01

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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