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- Title
Coherent and squeezed states for the 3 D harmonic oscillator.
- Authors
Mazouz, Amel; Bentaiba, Mustapha; Mahieddine, Ali
- 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.
- Subjects
COHERENT states; SQUEEZED light; HARMONIC oscillators; LADDER operators; HEISENBERG uncertainty principle
- Publication
Modern Physics Letters B, 2017, Vol 31, Issue 3, p-1
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984917500191