Angular minimum uncertainty states with large uncertainties

Details Angular minimum uncertainty states with large uncertainties Angular minimum uncertainty states with large uncertainties

2005-12-09

arxiv.org/abs/quant-ph/0512077v2

J. Phys. B: At. Mol. Opt. Phys. 39 (2006) 2791-2801

Physics

Quantum Physics

v1: 14 pages, 7 figures v2: 15 pages, 7 figures, added references to other angular momentum uncertainties, added content on la

Scientific paper

10.1088/0953-4075/39/12/013

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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