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Differentiability of the Arrival Time [PDF]
Communications on Pure and Applied Mathematics, 2016 AbstractFor a monotonically advancing front, the arrival time is the time when the front reaches a given point. We show that it is twice differentiable everywhere with uniformly bounded second derivative. It is smooth away from the critical points where the equation is degenerate.
Colding, Tobias, Minicozzi, William
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Time of arrival from Bohmian flow [PDF]
Journal of Physics A: Mathematical and General, 2002 We develop a new conception for the quantum mechanical arrival time distribution from the perspective of Bohmian mechanics. A detection probability for detectors sensitive to quite arbitrary spacetime domains is formulated. Basic positivity and monotonicity properties are established.
Grübl, Gebhard, Rheinberger, Klaus
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Time of arrival in quantum mechanics [PDF]
Physical Review A, 1996 We study the problem of computing the probability for the time-of-arrival of a quantum particle at a given spatial position. We consider a solution to this problem based on the spectral decomposition of the particle's (Heisenberg) state into the eigenstates of a suitable operator, which we denote as the ``time-of-arrival'' operator.
Grot, Norbert +2 more
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Confined Quantum Time of Arrivals [PDF]
Physical Review Letters, 2004 We show that formulating the quantum time of arrival problem in a segment of the real line suggests rephrasing the quantum time of arrival problem to finding states that evolve to unitarily collapse at a given point at a definite time. For the spatially confined particle, we show that the problem admits a solution in the form of an eigenvalue problem ...
Galapon, Eric A. +2 more
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Weak measurement of arrival time [PDF]
Physical Review A, 2002 The arrival time probability distribution is defined by analogy with the classical mechanics. The difficulty of requirement to have the values of non-commuting operators is circumvented using the concept of weak measurements. The proposed procedure is suitable to the free particles and to the particles subjected to an external potential, as well. It is
Ruseckas, J., Kaulakys, B.
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Times of arrival: Bohm beats Kijowski [PDF]
Journal of Physics A: Mathematical and General, 2005 We prove that the Bohmian arrival time of the 1D Schroedinger evolution violates the quadratic form structure on which Kijowski's axiomatic treatment of arrival times is based. Within Kijowski's framework, for a free right moving wave packet, the various notions of arrival time (at a fixed point x on the real line) all yield the same average arrival ...
Ruggenthaler, M., Grübl, G., Kreidl, S.
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Measurement of time of arrival in quantum mechanics [PDF]
Physical Review A, 1998 References added. To appear in Phys.
Aharonov, Y +4 more
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Times of arrival and gauge invariance [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021 We revisit the arguments underlying two well-known arrival-time distributions in quantum mechanics, viz., the Aharonov–Bohm–Kijowski (ABK) distribution, applicable for freely moving particles, and the quantum flux (QF) distribution. An inconsistency in the original axiomatic derivation of Kijowski’s result is pointed out, along with an inescapable ...
Siddhant Das, Markus Nöth
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Robust localization in wireless networks from corrupted signals
EURASIP Journal on Advances in Signal Processing, 2021 We address the problem of timing-based localization in wireless networks, when an unknown fraction of data is corrupted by non-ideal propagation conditions.
Muhammad Osama +3 more
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