Angular minimum uncertainty states with large uncertainties

Jörg B. Götte, Paul M. Radmore, Roberta Zambrini, Stephen M. Barnett

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The uncertainty relation for angle and angular momentum has a lower bound which depends on the form of the state. Surprisingly, this lower bound can be very large. We derive the states which have the lowest possible uncertainty product for a given uncertainty in the angle or in the angular momentum. We show that, if the given angle uncertainty is close to its maximum value, the lowest possible uncertainty product tends to infinity.
LanguageEnglish
Pages2791-2801
Number of pages10
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume39
Issue number12
DOIs
Publication statusPublished - 28 Jun 2006

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angular momentum
products
infinity
momentum

Keywords

  • physics
  • optics
  • quantum
  • angular momentum
  • momentum

Cite this

Götte, Jörg B. ; Radmore, Paul M. ; Zambrini, Roberta ; Barnett, Stephen M. / Angular minimum uncertainty states with large uncertainties. In: Journal of Physics B: Atomic, Molecular and Optical Physics. 2006 ; Vol. 39, No. 12. pp. 2791-2801.
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Angular minimum uncertainty states with large uncertainties. / Götte, Jörg B.; Radmore, Paul M.; Zambrini, Roberta; Barnett, Stephen M.

In: Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 39, No. 12, 28.06.2006, p. 2791-2801.

Research output: Contribution to journalArticle

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AU - Götte, Jörg B.

AU - Radmore, Paul M.

AU - Zambrini, Roberta

AU - Barnett, Stephen M.

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AB - The uncertainty relation for angle and angular momentum has a lower bound which depends on the form of the state. Surprisingly, this lower bound can be very large. We derive the states which have the lowest possible uncertainty product for a given uncertainty in the angle or in the angular momentum. We show that, if the given angle uncertainty is close to its maximum value, the lowest possible uncertainty product tends to infinity.

KW - physics

KW - optics

KW - quantum

KW - angular momentum

KW - momentum

UR - http://arxiv.org/PS_cache/quant-ph/pdf/0512/0512077v2.pdf

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