Reference : On Lambda and Time Operators: the Inverse Intertwining Problem Revisited
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
On Lambda and Time Operators: the Inverse Intertwining Problem Revisited
Gómez-Cubillo, Fernando [University of Valladolid, Spain]
Suchanecki, Zdzislaw mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC) >]
Villullas, S. [University of Valladolid, Spain]
International Journal of Theoretical Physics
Yes (verified by ORBilu)
[en] Λ-transformation ; Irreversibility ; Time operator ; Sz.-Nagy–Foias dilation ; Invariant subspace
[en] An exact theory of irreversibility was proposed by Misra, Prigogine and Courbage, based on non-unitary similarity transformations Λ that intertwine reversible dynamics and irreversible ones. This would advocate the idea that irreversible behavior would originate at the microscopic level. Reversible evolution with an internal time operator have the intertwining property. Recently the inverse intertwining problem has been answered in the negative, that is, not every unitary evolution allowing such Λ-transformation has an internal time. This work contributes new results in this direction.

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