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rdf:type
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Description
| - Pro částici na kruhu jsou odvozeny relace neurčitosti pro úhel a moment hybnosti. Jak je ukázáno, tyto relace neurčitosti jsou minimalizovány Mathieu vlnovými funkcemi. Teoretický popis je aplikován na orbitální úhlový moment fotonových svazků a ověřen v experimentu využívajícím prostorové modulátory světla pro přípravu stavu i následnou analýzu. (cs)
- We rederive uncertainty relations for the angular position and momentum of a particle on a circle by employing the exponential of the angle instead of the angle itself, which leads to circular variance as a natural measure of resolution. Intelligent states minimizing the uncertainty product under the constraint of a given uncertainty in angle or in angular momentum turn out to be given by Mathieu wave functions. We also discuss a number of physically feasible approximations to these optimal states. The theory is applied to the orbital angular momentum of a beam of photons and verified in an experiment that employs computer-controlled spatial light modulators at both the state preparation and analyzing stages.
- We rederive uncertainty relations for the angular position and momentum of a particle on a circle by employing the exponential of the angle instead of the angle itself, which leads to circular variance as a natural measure of resolution. Intelligent states minimizing the uncertainty product under the constraint of a given uncertainty in angle or in angular momentum turn out to be given by Mathieu wave functions. We also discuss a number of physically feasible approximations to these optimal states. The theory is applied to the orbital angular momentum of a beam of photons and verified in an experiment that employs computer-controlled spatial light modulators at both the state preparation and analyzing stages. (en)
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Title
| - Experimental test of uncertainty relations for quantum mechanics on a circle
- Experimentální ověření relací neurčitosti pro kvantovou mechaniku na kruhu (cs)
- Experimental test of uncertainty relations for quantum mechanics on a circle (en)
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skos:prefLabel
| - Experimental test of uncertainty relations for quantum mechanics on a circle
- Experimentální ověření relací neurčitosti pro kvantovou mechaniku na kruhu (cs)
- Experimental test of uncertainty relations for quantum mechanics on a circle (en)
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skos:notation
| - RIV/61989592:15310/08:00005334!RIV09-MSM-15310___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GA202/06/0307), P(LC06007), Z(MSM6198959213)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/61989592:15310/08:00005334
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - test of uncertainty relations; quantum mechanics on a circle (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Hradil, Zdeněk
- Řeháček, Jaroslav
- Bouchal, Zdeněk
- Čelechovský, Radek
- Sanchez-Soto, Luis Lorenzo
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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