On Lambda and Time Operators: the Inverse Intertwining Problem Revisited

Reference : On Lambda and Time Operators: the Inverse Intertwining Problem Revisited


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Physics
	To cite this reference:	http://hdl.handle.net/10993/24263

Title :	On Lambda and Time Operators: the Inverse Intertwining Problem Revisited
Language :	English
Author, co-author :	Gómez-Cubillo, Fernando [University of Valladolid, Spain]
	Suchanecki, Zdzislaw [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC) >]
	Villullas, S. [University of Valladolid, Spain]
Publication date :	2011
Journal title :	International Journal of Theoretical Physics
Publisher :	Springer
Volume :	50
Pages :	2074-2083
Peer reviewed :	Yes (verified by ORBi^lu)
ISSN :	0020-7748
Keywords :	[en] Λ-transformation ; Irreversibility ; Time operator ; Sz.-Nagy–Foias dilation ; Invariant subspace
Abstract :	[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.
Permalink :	http://hdl.handle.net/10993/24263
DOI :	10.1007/s10773-010-0573-1

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