Coherent States for the Non-Linear Harmonic Oscillator
Quantum Physics
2012-07-12 v1 Mathematical Physics
math.MP
Abstract
Wave packets for the Quantum Non-Linear Oscillator are considered in the Generalized Coherent State framerwork. To first order in the non-linearity parameter the Coherent State behaves very similarly 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.
Cite
@article{arxiv.1111.7129,
title = {Coherent States for the Non-Linear Harmonic Oscillator},
author = {Subir Ghosh},
journal= {arXiv preprint arXiv:1111.7129},
year = {2012}
}