Quantum First Passage Time Problem-A Bohmian Perspective. (arXiv:1802.01863v1 [quant-ph])
The prediction of arrival time or first passage time statistics of a quantum
particle is an open problem, which challenges the foundations of quantum
theory. One of the most promising and insightful approaches to this problem
stems from the de Broglie-Bohm pilot-wave theory (a.k.a Bohmian mechanics).
Applying the fundamental postulates of this theory, we analyze a simplified
first passage time experiment and derive the empirical passage time
distribution $\Pi(\tau)$. Implications of our results are also discussed.