An Arrow of Time Operator for Standard Quantum Mechanics

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dc.creatorStrauss, Y.
dc.creatorSilman, J.
dc.creatorMachnes, S.
dc.creatorHorwitz, L. P.
dc.date2008-02-18
dc.date.accessioned2026-07-07T09:21:31Z
dc.date.available2026-07-07T09:21:31Z
dc.descriptionWe introduce a self-adjoint operator that indicates the direction of time within the framework of standard quantum mechanics. That is, as a function of time its expectation value decreases monotonically for any initial state. This operator can be defined for any system governed by a Hamiltonian with a uniformly finitely degenerate, absolutely continuous and semibounded spectrum. We study some of the operator's properties and illustrate them for a large equivalence class of scattering problems. We also discuss some previous attempts to construct such an operator, and show that the no-go theorems developed in this context are not applicable to our construction.
dc.description5 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0802.2448
dc.identifierhttp://arxiv.org/abs/0802.2448
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155050
dc.subjectQuantum Physics
dc.titleAn Arrow of Time Operator for Standard Quantum Mechanics
dc.typetext

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