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Aspects of coherent states of nonlinear algebras (1005.5607v1)
Published 31 May 2010 in quant-ph, math-ph, and math.MP
Abstract: Various aspects of coherent states of nonlinear $su(2)$ and $su(1,1)$ algebras are studied. It is shown that the nonlinear $su(1,1)$ Barut-Girardello and Perelomov coherent states are related by a Laplace transform. We then concentrate on the derivation and analysis of the statistical and geometrical properties of these states. The Berry's phase for the nonlinear coherent states is also derived.
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