V. I. Man'ko, G. Marmo, F. Zaccaria
Published 1997-03-12Version 1
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.
Comments: 23 pages,LATEX, to be published in Rend.Sem.Mat.Univ.Polit.Torino, volume 54 (1996), as Proceedings of Workshop on "Geometry and Plysics" Vietri Sept.29 1996, (S.Benenti, G.Marmo, A.Simoni, Eds.)
Journal: Rend.Sem.Mat.Univ.Politec.Torino 54 (1996) 337-352
Perfect transfer of quantum states in a network of harmonic oscillators
f-Oscillators and Nonlinear Coherent States
Photon-added coherent states as nonlinear coherent states
