dorsal/arxiv
View SchemaUncertainty for spin systems
| Authors | Nuno Barros e Sa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009033 |
| URL | https://arxiv.org/abs/quant-ph/0009033 |
| Journal | J.Math.Phys. 42 (2001) 981 |
Abstract
A modified definition of quantum mechanical uncertainty D for spin systems, which is invariant under the action of SU(2), is suggested. Its range is shown to be h^2j<D<h^2j(j+1) within any irreducible representation j of SU(2) and its mean value in Hilbert space computed using the Fubini-Study metric is determined to be mean(D)=h^2j(j+1/2). The most used sets of coherent states in spin systems coincide with the set of minimum D uncertainty states.
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"abstract": "A modified definition of quantum mechanical uncertainty D for spin systems,\nwhich is invariant under the action of SU(2), is suggested. Its range is shown\nto be h^2j\u003cD\u003ch^2j(j+1) within any irreducible representation j of SU(2) and its\nmean value in Hilbert space computed using the Fubini-Study metric is\ndetermined to be mean(D)=h^2j(j+1/2). The most used sets of coherent states in\nspin systems coincide with the set of minimum D uncertainty states.",
"arxiv_id": "quant-ph/0009033",
"authors": [
"Nuno Barros e Sa"
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"quant-ph"
],
"journal_ref": "J.Math.Phys. 42 (2001) 981",
"title": "Uncertainty for spin systems",
"url": "https://arxiv.org/abs/quant-ph/0009033"
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