Bohmian arrival time without trajectories

Abstract

The computation of detection probabilities and arrival time distributions within Bohmian mechanics in general needs the explicit knowledge of a relevant sample of trajectories. Here it is shown how for one-dimensional systems and rigid inertial detectors these quantities can be computed without calculating any trajectories. An expression in terms of the wave function and its spatial derivative, both restricted to the boundary of the detector's spacetime volume, is derived for the general case, where the probability current at the detector's boundary may vary its sign.

20 pages, 12 figures; v2: reference added, extended introduction, published version

References in corpus (5)

• Time-of-arrival in quantum mechanics
• A measurement-based approach to quantum arrival times
• A Survey on Bohmian Mechanics
• More About Tunnelling Times, the Dwell Time, and the ``Hartman Effect"
• Time of Arrival from Bohmian Flow

Cited by in corpus (12)

• On the Thermodynamic Origin of the Quantum Potential
• A new approach to quantum backflow
• Distribution of the Time at Which an Ideal Detector Clicks
• Times of Arrival and Gauge Invariance
• Why isn't every physicist a Bohmian?
• Detection Time Distribution for Several Quantum Particles
• Questioning the adequacy of certain quantum arrival-time distributions
• Times of arrival: Bohm beats Kijowski
• Diffraction in time of a confined particle and its Bohmian paths
• Space-time-symmetric extension of quantum mechanics: Interpretation and arrival-time predictions
• Double-slit experiment revisited
• Bohmian transmission and reflection dwell times without trajectory sampling