dorsal/arxiv
View SchemaArrival Times in Quantum Theory from an Irreversible Detector Model
| Authors | J. J. Halliwell |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9805057 |
| URL | https://arxiv.org/abs/quant-ph/9805057 |
| DOI | 10.1143/PTP.102.707 |
| Journal | Prog.Theor.Phys. 102 (1999) 707-717 |
Abstract
We investigate a detector scheme designed to measure the arrival of a particle at $x=0$ during a finite time interval. The detector consists of a two state system which undergoes a transition from one state to the other when the particle crosses $x=0$, and possesses the realistic feature that it is effectively irreversible as a result of being coupled to a large environment. The probabilities for crossing or not crossing $x=0$ thereby derived coincide with earlier phenomenologically proposed expressions involving a complex potential. The probabilities are compared with similar previously proposed expressions involving sums over paths, and a connection with time operator approaches is also indicated.
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"abstract": "We investigate a detector scheme designed to measure the arrival of a\nparticle at $x=0$ during a finite time interval. The detector consists of a two\nstate system which undergoes a transition from one state to the other when the\nparticle crosses $x=0$, and possesses the realistic feature that it is\neffectively irreversible as a result of being coupled to a large environment.\nThe probabilities for crossing or not crossing $x=0$ thereby derived coincide\nwith earlier phenomenologically proposed expressions involving a complex\npotential. The probabilities are compared with similar previously proposed\nexpressions involving sums over paths, and a connection with time operator\napproaches is also indicated.",
"arxiv_id": "quant-ph/9805057",
"authors": [
"J. J. Halliwell"
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"quant-ph"
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"doi": "10.1143/PTP.102.707",
"journal_ref": "Prog.Theor.Phys. 102 (1999) 707-717",
"title": "Arrival Times in Quantum Theory from an Irreversible Detector Model",
"url": "https://arxiv.org/abs/quant-ph/9805057"
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