8 papers · 1 filter
Dirac delta-convergence of free-motion time-of-arrival eigenfunctions
John Jaykel P. Magadan, Eric A. Galapon
Previous numerical analyses on the Aharonov-Bohm (AB) operator representing the quantum time-of-arrival (TOA) observable for the free particle have indicated that its eigenfunction…
Canonical pairs in finite-dimensional Hilbert space
Ralph Adrian E. Farrales, Eric A. Galapon
A pair of Hermitian operators is canonical if they satisfy the canonical commutation relation. It has been believed that no such canonical pair exists in finite-dimensional Hilbert…
Instantaneous tunneling time within the theory of time-of-arrival operators
Philip Caesar Flores, Dean Alvin Pablico, Eric Galapon
It has been shown in Phys. Rev. Lett., 108 170402 (2012) (https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.108.170402), that quantum tunneling is instantaneous using a tim…
Moyal deformation of the classical arrival time
Dean Alvin L. Pablico, Eric A. Galapon
The quantum time of arrival (TOA) problem requires the statistics of measured arrival times given only the initial state of a particle. Following the standard framework of quantum…
Entanglement witnesses with local partial ordering
Joshua Carlo A. Casapao, Eric A. Galapon
We investigate a class of entanglement witnesses where each witness is formulated as a difference of two product observables. These observables are decomposable into positive semid…
Characteristic time operators as quantum clocks
Ralph Adrian E. Farrales, Eric A. Galapon
We consider the characteristic time operator introduced in [E. A. Galapon, Proc. R. Soc. Lond. A, 458:2671 (2002)] which is bounded and self-adjoint. For a semibounded…