On a Derivation of the Absorbing Boundary Rule
- URL: http://arxiv.org/abs/2310.01343v1
- Date: Mon, 2 Oct 2023 17:07:43 GMT
- Title: On a Derivation of the Absorbing Boundary Rule
- Authors: Roderich Tumulka
- Abstract summary: detector waiting for a quantum particle to arrive at a surface $S$ in 3-space.
For predicting the probability distribution of the time and place of detection, a rule was proposed in [arXiv:1601.03715], called the absorbing boundary rule (ABR)
We derivation is non-rigorous, and it would still be desirable to have a rigorous version of it in the future.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Consider detectors waiting for a quantum particle to arrive at a surface $S$
in 3-space. For predicting the probability distribution of the time and place
of detection, a rule was proposed in [arXiv:1601.03715], called the absorbing
boundary rule (ABR) and involving a 1-particle Schr\"odinger equation with an
absorbing boundary condition on $S$. While plausibility arguments for the ABR
were given there, it would be desirable to derive the ABR from a microscopic
model of a detector. We outline here such a derivation by putting together
known results from the literature. Our derivation is non-rigorous, and it would
still be desirable to have a rigorous version of it in the future.
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