Displacement and Squeeze Operators of a Three-Dimensional Harmonic Oscillator and Their Associated Quantum States
Quantum Physics
2011-05-17 v3
Abstract
We generalized the squeeze and displacement operators of the one-dimensional harmonic oscillator to the three-dimensional case and based on these operators we construct the corresponding coherent and squeezed states. We have also calculated the Wigner function for the three-dimensional harmonic oscillator and from the analysis of time evolution of this function, the quantum Liouville equation is also presented. Further properties of the quantum states including Mandel's Q and quadrature squeezing parameters are discussed as well.
Keywords
Cite
@article{arxiv.0912.3335,
title = {Displacement and Squeeze Operators of a Three-Dimensional Harmonic Oscillator and Their Associated Quantum States},
author = {Mehdi Miri and Sina Khorasani},
journal= {arXiv preprint arXiv:0912.3335},
year = {2011}
}
Comments
Accepted for publication in the International Journal of Optics and Photonics