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Minimal uncertainty states for rotation and allied groups


Delbourgo, R, Minimal uncertainty states for rotation and allied groups, Journal of Physics A: Mathematical and General, 10, (11) pp. 1837-1846. ISSN 0305-4470 (1977) [Refereed Article]

DOI: doi:10.1088/0305-4470/10/11/012


The author shows that the measure of angular momentum uncertainty is the invariant ( Delta J)2 identical to (J2)-(J)2, rather than sums of products like Delta J1 Delta J2, and that the critical states which minimise Delta J are eigenstates of maximum weight of J.n. They also determine the critical states for the associated groups E(2), O(2,1), O(4) and E(3), and construct coherent O(3) spin states mod z) which are superpositions of normal spin eigenvectors and which tend to the classical limit as mod z mod to infinity .

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Particle and high energy physics
Research Field:Particle physics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Delbourgo, R (Professor Robert Delbourgo)
ID Code:96700
Year Published:1977
Web of Science® Times Cited:48
Deposited By:Mathematics and Physics
Deposited On:2014-11-17
Last Modified:2014-11-17

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