dorsal/arxiv
View SchemaConfined Quantum Time of Arrivals
| Authors | Eric A. Galapon, Roland F. Caballar, Ricardo T. Bahague Jr |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302036 |
| URL | https://arxiv.org/abs/quant-ph/0302036 |
| DOI | 10.1103/PhysRevLett.93.180406 |
| Journal | Phys. Rev. Let. 93, 180406 (2004) |
Abstract
We show that formulating the quantum time of arrival problem in a segment of the real line suggests rephrasing the quantum time of arrival problem to finding states that evolve to unitarily collapse at a given point at a definite time. For the spatially confined particle, we show that the problem admits a solution in the form of an eigenvalue problem of a compact and self-adjoint time of arrival operator derived by a quantization of the classical time of arrival, which is canonically conjugate with the Hamiltonian in closed subspace of the Hilbert space.
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"abstract": "We show that formulating the quantum time of arrival problem in a segment of\nthe real line suggests rephrasing the quantum time of arrival problem to\nfinding states that evolve to unitarily collapse at a given point at a definite\ntime. For the spatially confined particle, we show that the problem admits a\nsolution in the form of an eigenvalue problem of a compact and self-adjoint\ntime of arrival operator derived by a quantization of the classical time of\narrival, which is canonically conjugate with the Hamiltonian in closed subspace\nof the Hilbert space.",
"arxiv_id": "quant-ph/0302036",
"authors": [
"Eric A. Galapon",
"Roland F. Caballar",
"Ricardo T. Bahague Jr"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevLett.93.180406",
"journal_ref": "Phys. Rev. Let. 93, 180406 (2004)",
"title": "Confined Quantum Time of Arrivals",
"url": "https://arxiv.org/abs/quant-ph/0302036"
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