Deformations and Nonlinear Systems

Details Deformations and Nonlinear Systems Deformations and Nonlinear Systems

1997-03-12

arxiv.org/abs/quant-ph/9703020v1

Rend.Sem.Mat.Univ.Politec.Torino 54 (1996) 337-352

Physics

Quantum Physics

23 pages,LATEX, to be published in Rend.Sem.Mat.Univ.Polit.Torino, volume 54 (1996), as Proceedings of Workshop on "Geometry a

Scientific paper

The q-deformation of harmonic oscillators is shown to lead to q-nonlinear vibrations. The examples of q-nonlinearized wave equation and Schr\"odinger equation are considered. The procedure is generalized to broader class of nonlinearities related to other types of deformations. The nonlinear noncanonical transforms used in the deformation procedure are shown to preserve in some cases the linear dynamical equations, for instance, for the harmonic oscillators. The nonlinear coherent states and some physical aspects of the deformations are reviewed.

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