dorsal/arxiv
View SchemaFinite-time stochastic reduction models
| Authors | Dorje C. Brody, Lane P. Hughston |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503231 |
| URL | https://arxiv.org/abs/quant-ph/0503231 |
| DOI | 10.1063/1.1990108 |
| Journal | Journal of Mathematical Physics 46, 082101 (2005) |
Abstract
A new energy-based stochastic extension of the Schrodinger equation for which the wave function collapses after the passage of a finite amount of time is proposed. An exact closed-form solution to the dynamical equation, valid for all finite-dimensional quantum systems, is presented and used to verify explicitly that reduction of the state vector to an energy eigenstate occurs. A time-change technique is introduced to construct a `clock' variable that relates the asymptotic and the finite-time collapse models by means of a nonlinear transformation.
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"abstract": "A new energy-based stochastic extension of the Schrodinger equation for which\nthe wave function collapses after the passage of a finite amount of time is\nproposed. An exact closed-form solution to the dynamical equation, valid for\nall finite-dimensional quantum systems, is presented and used to verify\nexplicitly that reduction of the state vector to an energy eigenstate occurs. A\ntime-change technique is introduced to construct a `clock\u0027 variable that\nrelates the asymptotic and the finite-time collapse models by means of a\nnonlinear transformation.",
"arxiv_id": "quant-ph/0503231",
"authors": [
"Dorje C. Brody",
"Lane P. Hughston"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.1990108",
"journal_ref": "Journal of Mathematical Physics 46, 082101 (2005)",
"title": "Finite-time stochastic reduction models",
"url": "https://arxiv.org/abs/quant-ph/0503231"
},
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