dorsal/arxiv
View SchemaDistinguishability of apparatus states in quantum measurement in the Stern-Gerlach experiment
| Authors | Dipankar Home, Alok Kumar Pan, Md. Manirul Ali, A. S. Majumdar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703183 |
| URL | https://arxiv.org/abs/quant-ph/0703183 |
| DOI | 10.1088/1751-8113/40/46/010 |
| Journal | J. Phys. A: Math. Theor. 40, 13975 (2007). |
Abstract
In the context of the quantum mechanical modelling of a measurement process using the Stern-Gerlach setup, we critically examine the relationship between the notion of `distinguishability' of apparatus states defined in terms of the inner product and spatial separation among the emerging wave packets. We show that, in general, the mutual orthogonality of these wave packets does not necessarily imply their unambiguous spatial separation even in the asymptotic limit. A testable scheme is formulated to quantify such departures from `idealness' for a range of relevant parameters.
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"abstract": "In the context of the quantum mechanical modelling of a measurement process\nusing the Stern-Gerlach setup, we critically examine the relationship between\nthe notion of `distinguishability\u0027 of apparatus states defined in terms of the\ninner product and spatial separation among the emerging wave packets. We show\nthat, in general, the mutual orthogonality of these wave packets does not\nnecessarily imply their unambiguous spatial separation even in the asymptotic\nlimit. A testable scheme is formulated to quantify such departures from\n`idealness\u0027 for a range of relevant parameters.",
"arxiv_id": "quant-ph/0703183",
"authors": [
"Dipankar Home",
"Alok Kumar Pan",
"Md. Manirul Ali",
"A. S. Majumdar"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/40/46/010",
"journal_ref": "J. Phys. A: Math. Theor. 40, 13975 (2007).",
"title": "Distinguishability of apparatus states in quantum measurement in the Stern-Gerlach experiment",
"url": "https://arxiv.org/abs/quant-ph/0703183"
},
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