Physics – Quantum Physics
Scientific paper
1999-05-07
Phys.Rev.A61:012104,1999
Physics
Quantum Physics
10 a4 pages, no figures
Scientific paper
10.1103/PhysRevA.61.012104
We 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.
Egusquiza Inigo L.
Muga Gonzalo J.
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