dorsal/arxiv
View SchemaTime of arrival through interacting environments: Tunneling processes
| Authors | Ken-Ichi Aoki, Atsushi Horikoshi, Etsuko Nakamura |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9912109 |
| URL | https://arxiv.org/abs/quant-ph/9912109 |
| DOI | 10.1103/PhysRevA.62.022101 |
| Journal | Phys.Rev. A62 (2000) 22101 |
Abstract
We discuss the propagation of wave packets through interacting environments. Such environments generally modify the dispersion relation or shape of the wave function. To study such effects in detail, we define the distribution function P_{X}(T), which describes the arrival time T of a packet at a detector located at point X. We calculate P_{X}(T) for wave packets traveling through a tunneling barrier and find that our results actually explain recent experiments. We compare our results with Nelson's stochastic interpretation of quantum mechanics and resolve a paradox previously apparent in Nelson's viewpoint about the tunneling time.
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"abstract": "We discuss the propagation of wave packets through interacting environments.\nSuch environments generally modify the dispersion relation or shape of the wave\nfunction. To study such effects in detail, we define the distribution function\nP_{X}(T), which describes the arrival time T of a packet at a detector located\nat point X. We calculate P_{X}(T) for wave packets traveling through a\ntunneling barrier and find that our results actually explain recent\nexperiments. We compare our results with Nelson\u0027s stochastic interpretation of\nquantum mechanics and resolve a paradox previously apparent in Nelson\u0027s\nviewpoint about the tunneling time.",
"arxiv_id": "quant-ph/9912109",
"authors": [
"Ken-Ichi Aoki",
"Atsushi Horikoshi",
"Etsuko Nakamura"
],
"categories": [
"quant-ph",
"gr-qc"
],
"doi": "10.1103/PhysRevA.62.022101",
"journal_ref": "Phys.Rev. A62 (2000) 22101",
"title": "Time of arrival through interacting environments: Tunneling processes",
"url": "https://arxiv.org/abs/quant-ph/9912109"
},
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