Angular minimum uncertainty states with large uncertainties

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

doi:10.1088/0953-4075/39/12/013

Angular minimum uncertainty states with large uncertainties

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

Physics

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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.

Original language	English
Pages (from-to)	2791-2801
Number of pages	10
Journal	Journal of Physics B: Atomic, Molecular and Optical Physics
Volume	39
Issue number	12
DOIs	https://doi.org/10.1088/0953-4075/39/12/013
Publication status	Published - 28 Jun 2006

Keywords

physics
optics
quantum
angular momentum
momentum

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10.1088/0953-4075/39/12/013

strathprints006160Accepted author manuscript, 195 KB

Cite this

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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.",

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AU - Götte, Jörg B.

AU - Radmore, Paul M.

AU - Zambrini, Roberta

AU - Barnett, Stephen M.

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Y1 - 2006/6/28

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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

U2 - 10.1088/0953-4075/39/12/013

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JO - Journal of Physics B: Atomic, Molecular and Optical Physics

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Angular minimum uncertainty states with large uncertainties

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Keywords

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