Abstract
We inquire into the time evolution of quantum systems associated with pseudo-or quasi-Hermitian Hamiltonians. We obtain, in the pseudo-Hermitian case, a generalized Liouville-von Neumann equation for closed systems. We show that quantum systems with quasi-Hermitian Hamiltonians admit the proper interpretation in terms of open quantum system and derive a generalized Lindblad-Kossakowski equation. Finally, we extend such formalism to the study of decaying systems.
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Partially supported by PRIN “Sintesi”.
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Scolarici, G., Solombrino, L. Time evolution of non-Hermitian quantum systems and generalized master equations. Czech J Phys 56, 935–941 (2006). https://doi.org/10.1007/s10582-006-0389-7
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DOI: https://doi.org/10.1007/s10582-006-0389-7