Coherent States for the Non-Linear Harmonic Oscillator

Details Coherent States for the Non-Linear Harmonic Oscillator Coherent States for the Non-Linear Harmonic Oscillator

2011-11-30

arxiv.org/abs/1111.7129v1

Physics

Quantum Physics

Scientific paper

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.

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