On a Derivation of the Absorbing Boundary Rule
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929343661342720 |
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| author | Tumulka, Roderich |
| author_facet | Tumulka, Roderich |
| contents | 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 Schrödinger 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_01343 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On a Derivation of the Absorbing Boundary Rule Tumulka, Roderich Quantum Physics 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 Schrödinger 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. |
| title | On a Derivation of the Absorbing Boundary Rule |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2310.01343 |