arXiv:1111.7129 · Journal of Mathematical Physics

Coherent states for the nonlinear harmonic oscillator

Subir Ghosh

Published Jun 1, 2012• 13 citations

Abstract

Wave packets for the quantum nonlinear oscillator are considered in the generalized coherent state framework. To first order in the nonlinearity parameter the coherent state behaves very similar to its classical counterpart. The position expectation value oscillates in a simple harmonic manner. The energy-momentum uncertainty relation is time independent as in a harmonic oscillator. Various features (such as the squeezed state nature) of the coherent state have been discussed.

DOI: 10.1063/1.4729757

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