Arrival Time Distributions of Spin-1/2 Particles

TL;DR

This paper investigates the arrival time distributions of spin-1/2 particles using Bohmian trajectories, revealing distinctive features and proposing an experiment to test these predictions against other models.

Contribution

It introduces a novel analysis of arrival time statistics for spin-1/2 particles based on Bohmian mechanics and suggests feasible experiments to validate these findings.

Findings

Bohmian trajectories produce unique arrival time distributions.

Significant deviations from other models are predicted.

Proposed experiments can test these deviations with current technology.

Abstract

The arrival time statistics of spin-1/2 particles governed by Pauli's equation, and defined by their Bohmian trajectories, show unexpected and very well articulated features. Comparison with other proposed statistics of arrival times that arise from either the usual (convective) quantum flux or from semiclassical considerations suggest testing the notable deviations in an arrival time experiment, thereby probing the predictive power of Bohmian trajectories. The suggested experiment, including the preparation of the wave functions, could be done with present-day experimental technology.