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Detection Time Distribution for Several ...
Tumulka, Roderich...
Detection Time Distribution for Several Quantum Particles by Tumulka, Roderich ( Author )
N.A
15-01-2016
We address the question of how to compute the probability distribution of the time at which a detector clicks, in the situation of n non-relativistic quantum particles in a volume Ω⊂R3 in physical space and detectors placed along the boundary ∂Ω of Ω. We have previously [arXiv:1601.03715] argued in favor of a rule for the 1-particle case that involves a Schrödinger equation with an absorbing boundary condition on ∂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-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 particles. We also describe an extension of the absorbing boundary rule to the case of moving detectors.
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Article
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English
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MYR 0.01
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https://arxiv.org/abs/1601.03871
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