Quantum Bi-Hamiltonian systems, alternative Hermitian structuresand Bi-Unitary transformations

Authors

  • G. Marmo
  • G. Scolarici
  • A. Simoni
  • F. Ventriglia

DOI:

https://doi.org/10.1285/i15900932v23n2p173

Keywords:

Functional analysis, Quantum mechanics, Symplectic geometry, Spectral theory

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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Published

31-12-2004

Issue

Volume 23, Issue 2 (2004)

Section

Articoli

License

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Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode