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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)
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)
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)
skos:notation
  • RIV/61989592:15310/08:00005334!RIV09-MSM-15310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA202/06/0307), P(LC06007), Z(MSM6198959213)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 367243
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/08:00005334
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • test of uncertainty relations; quantum mechanics on a circle (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [747976016073]
http://linked.open...i/riv/nazevZdroje
  • Physical Review A
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 77
http://linked.open...iv/tvurceVysledku
  • Hradil, Zdeněk
  • Řeháček, Jaroslav
  • Bouchal, Zdeněk
  • Čelechovský, Radek
  • Sanchez-Soto, Luis Lorenzo
http://linked.open...n/vavai/riv/zamer
issn
  • 1050-2947
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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