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research
Detection Time Distribution for Several Quantum Particles
Authors
Roderich Tumulka
Publication date
15 January 2016
Publisher
Doi
View
on
arXiv
Abstract
We address the question of how to compute the probability distribution of the time at which a detector clicks, in the situation of
n
n
n
non-relativistic quantum particles in a volume
Ω
⊂
R
3
\Omega\subset \mathbb{R}^3
Ω
⊂
R
3
in physical space and detectors placed along the boundary
∂
Ω
\partial \Omega
∂
Ω
of
Ω
\Omega
Ω
. We have recently [http://arxiv.org/abs/1601.03715] argued in favor of a rule for the 1-particle case that involves a Schr\"odinger equation with an absorbing boundary condition on
∂
Ω
\partial \Omega
∂
Ω
introduced by Werner; we call this rule the "absorbing boundary rule." Here, we describe the natural extension of the absorbing boundary rule to the
n
n
n
-particle case. A key element of this extension is that, upon a detection event, the wave function gets collapsed by inserting the detected position, at the time of detection, into the wave function, thus yielding a wave function of
n
−
1
n-1
n
−
1
particles. We also describe an extension of the absorbing boundary rule to the case of moving detectors.Comment: 15 pages LaTeX, no figure
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Publikationsserver der Universität Tübingen
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Last time updated on 07/01/2024
arXiv.org e-Print Archive
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Last time updated on 03/08/2016