Characteristic uncertainty relations
J.Phys.A31:8041-8047,1998 New uncertainty relations for n observables are established. The relations take the invariant form of inequalities between the characteristic coefficients of order r, r = 1,2,...,n, of the uncertainty matrix and the matrix of mean commutators of the observables. It is shown...
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| creator | Trifonov, D. A Donev, S. G |
| description | J.Phys.A31:8041-8047,1998 New uncertainty relations for n observables are established. The relations
take the invariant form of inequalities between the characteristic coefficients
of order r, r = 1,2,...,n, of the uncertainty matrix and the matrix of mean
commutators of the observables.
It is shown that the second and the third order characteristic inequalities
for the three generators of SU(1,1) and SU(2) are minimized in the
corresponding group-related coherent states with maximal symmetry. |
| doi_str_mv | 10.48550/arxiv.quant-ph/9809026 |
| format | Article |
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take the invariant form of inequalities between the characteristic coefficients
of order r, r = 1,2,...,n, of the uncertainty matrix and the matrix of mean
commutators of the observables.
It is shown that the second and the third order characteristic inequalities
for the three generators of SU(1,1) and SU(2) are minimized in the
corresponding group-related coherent states with maximal symmetry.</description><identifier>DOI: 10.48550/arxiv.quant-ph/9809026</identifier><language>eng</language><subject>Physics - High Energy Physics - Theory ; Physics - Quantum Physics</subject><creationdate>1998-09</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,778,883</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/quant-ph/9809026$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.1088/0305-4470/31/39/016$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.quant-ph/9809026$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Trifonov, D. A</creatorcontrib><creatorcontrib>Donev, S. G</creatorcontrib><title>Characteristic uncertainty relations</title><description>J.Phys.A31:8041-8047,1998 New uncertainty relations for n observables are established. The relations
take the invariant form of inequalities between the characteristic coefficients
of order r, r = 1,2,...,n, of the uncertainty matrix and the matrix of mean
commutators of the observables.
It is shown that the second and the third order characteristic inequalities
for the three generators of SU(1,1) and SU(2) are minimized in the
corresponding group-related coherent states with maximal symmetry.</description><subject>Physics - High Energy Physics - Theory</subject><subject>Physics - Quantum Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1998</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA3NNAzsTA1NdBPLKrILNMrLE3MK9EtyNC3tDCwNDAy42RQcc5ILEpMLkktyiwuyUxWKM1LTi0qSczMK6lUKErNSSzJzM8r5mFgTUvMKU7lhdLcDKpuriHOHrpgU-MLijJzE4sq48GmxxdkxENNNyZWHQBsAjYP</recordid><startdate>19980910</startdate><enddate>19980910</enddate><creator>Trifonov, D. A</creator><creator>Donev, S. G</creator><scope>GOX</scope></search><sort><creationdate>19980910</creationdate><title>Characteristic uncertainty relations</title><author>Trifonov, D. A ; Donev, S. G</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_quant_ph_98090263</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1998</creationdate><topic>Physics - High Energy Physics - Theory</topic><topic>Physics - Quantum Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Trifonov, D. A</creatorcontrib><creatorcontrib>Donev, S. G</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Trifonov, D. A</au><au>Donev, S. G</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Characteristic uncertainty relations</atitle><date>1998-09-10</date><risdate>1998</risdate><abstract>J.Phys.A31:8041-8047,1998 New uncertainty relations for n observables are established. The relations
take the invariant form of inequalities between the characteristic coefficients
of order r, r = 1,2,...,n, of the uncertainty matrix and the matrix of mean
commutators of the observables.
It is shown that the second and the third order characteristic inequalities
for the three generators of SU(1,1) and SU(2) are minimized in the
corresponding group-related coherent states with maximal symmetry.</abstract><doi>10.48550/arxiv.quant-ph/9809026</doi><oa>free_for_read</oa></addata></record> |
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| identifier | DOI: 10.48550/arxiv.quant-ph/9809026 |
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| source | arXiv.org |
| subjects | Physics - High Energy Physics - Theory Physics - Quantum Physics |
| title | Characteristic uncertainty relations |
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