SU(2) Action-Angle Variables

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages,plain Latex,FTUV/93-12. Talk at the 'Harmonic Oscillators' Workshop,Maryland 1992

Scientific paper

Operator angle-action variables are studied in the frame of the SU(2)
algebra, and their eigenstates and coherent states are discussed. The quantum
mechanical addition of action-angle variables is shown to lead to a novel non
commutative Hopf algebra. The group contraction is used to make the connection
with the harmonic oscillator.

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