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6 papers · 2 filters
Time-of-arrival distributions from position-momentum and energy-time joint measurements
A. D. Baute, I. L. Egusquiza, J. G. Muga +1
The position-momentum quasi-distribution obtained from an Arthurs and Kelly joint measurement model is used to obtain indirectly an ``operational'' time-of-arrival (TOA) distributi…
Free motion time-of-arrival operator and probability distribution
I. L. Egusquiza, J. G. Muga
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…
Time-of-arrival distribution for arbitrary potentials and Wigner's time-energy uncertainty relation
A. D Baute, R. Sala Mayato, J. P. Palao +2
A realization of the concept of "crossing state" invoked, but not implemented, by Wigner, allows to advance in two important aspects of the time of arrival in quantum mechanics: (i…
Phase space formalisms of quantum mechanics with singular kernel
R. Sala, J. P. Palao, J +1
The equivalence of the Rivier-Margenau-Hill and Born-Jordan-Shankara phase space formalisms to the conventional operator approach of quantum mechanics is demonstrated. It is shown…
Average local values and local variances in quantum mechanics
J. G. Muga, J. P. Palao, R. Sala
Several definitions for the average local value and local variance of a quantum observable are examined and compared with their classical counterparts. An explicit way to construct…
Barrier traversal times using a phenomenological track formation model
J. P. Palao, J. G. Muga, S. Brouard +1
A phenomenological model for a measurement of barrier traversal times for particles is proposed. Two idealized detectors for passage and arrival provide entrance and exit times for…