Angular-momentum—angle commutation relations and minimum-uncertainty states
نویسندگان
چکیده
منابع مشابه
Momentum - Angle Commutation Relations and Minimum Uncertainty
We extend the canonical commutation relations (CCR) in quantum mechanics to the case where appropriate dynamical variables are angular momenta and angles. It is found that projection operators of the resultant Weyl algebra provide us with a new and powerful way of characterizing minimum uncertainty states, including those obtained by Carruthers and Nieto. The uniqueness theorem of Schrodinger r...
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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 ...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 1982
ISSN: 0556-2821
DOI: 10.1103/physrevd.25.3256