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Coherent and squeezed states for the 3D harmonic oscillator

Amel Mazouz

LPTHIRM, Department of Physics, Blida 1 University, Algeria

Energy and Smart Systems Laboratory, Djillali Bounaama University – Khemis Miliana, Algeria

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Mustapha Bentaiba

LPTHIRM, Department of Physics, Blida 1 University, Algeria

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, and

Ali Mahieddine

Energy and Smart Systems Laboratory, Djillali Bounaama University – Khemis Miliana, Algeria

E-mail Address: mahieddine.ali@gmail.com

Corresponding author.

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https://doi.org/10.1142/S0217984917500191Cited by:1 (Source: Crossref)

Abstract

A three-dimensional harmonic oscillator is studied in the context of generalized coherent states. We construct its squeezed states as eigenstates of linear contribution of ladder operators which are associated to the generalized Heisenberg algebra. We study the probability density to show the compression effect on the squeezed states. Our analysis reveals that squeezed states give us some freedom on the precise knowledge of position of the particle while maintaining the Heisenberg uncertainty relation minimum, squeezed states remains squeezed states over time.

Keywords:

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