Aspects of coherent states of nonlinear algebras

Details Aspects of coherent states of nonlinear algebras Aspects of coherent states of nonlinear algebras

2010-05-31

arxiv.org/abs/1005.5607v1

J. Math. Phys. 51 (2010) 123511

Physics

Quantum Physics

22 Pages, 30 Figures

Scientific paper

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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