Extremal values of the sojourn time

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dc.contributor.authorAstaburuaga, M. A.
dc.contributor.authorCortes, V. H.
dc.contributor.authorDuclos, P.
dc.date.accessioned2025-01-21T00:03:06Z
dc.date.available2025-01-21T00:03:06Z
dc.date.issued2010
dc.description.abstractConsider a self-adjoint operator H on a separable Hilbert space H with non-trivial absolutely continuous component. We study the general properties of the real-valued functional, tau(H) (psi) = f(R) vertical bar(e(-itH)psi, psi)vertical bar(2) dt, which in quantum mechanics represents the sojourn time (or life time) of an initial state psi is an element of H. We characterize the critical points of the sojourn time, tau(X), of the operator multiplication by x in L(2)(R), and prove that it attains a global maximum in the unit sphere of the Sobolev space W(1,2)(R).
dc.description.funderFondecyt
dc.fuente.origenWOS
dc.identifier.doi10.1088/1751-8113/43/47/474003
dc.identifier.issn1751-8113
dc.identifier.urihttps://doi.org/10.1088/1751-8113/43/47/474003
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/95449
dc.identifier.wosidWOS:000284100400004
dc.issue.numero47
dc.language.isoen
dc.revistaJournal of physics a-mathematical and theoretical
dc.rightsacceso restringido
dc.titleExtremal values of the sojourn time
dc.typeartículo
dc.volumen43
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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