Free motion time-of-arrival operator and probability distribution

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dc.creatorEgusquiza, I. L.
dc.creatorMuga, J. G.
dc.date1999-05-07
dc.date.accessioned2026-07-07T12:17:11Z
dc.date.available2026-07-07T12:17:11Z
dc.descriptionWe reappraise and clarify the contradictory statements found in the literature concerning the time-of-arrival operator introduced by Aharonov and Bohm in Phys. Rev. {\bf 122}, 1649 (1961). We use Naimark's dilation theorem to reproduce the generalized decomposition of unity (or POVM) from any self-adjoint extension of the operator, emphasizing a natural one, which arises from the analogy with the momentum operator on the half-line. General time operators are set within a unifying perspective. It is shown that they are not in general related to the time of arrival, even though they may have the same form.
dc.description10 a4 pages, no figures
dc.identifierhttps://arxiv.org/abs/quant-ph/9905023
dc.identifierhttp://arxiv.org/abs/quant-ph/9905023
dc.identifierPhys.Rev.A61:012104,1999
dc.identifierdoi:10.1103/PhysRevA.61.012104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212038
dc.subjectQuantum Physics
dc.titleFree motion time-of-arrival operator and probability distribution
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