Mehdi Miri, Sina Khorasani,
Volume 4, Issue 1 (International Journal of Optics and Photonics (IJOP) Vol. 4, No. 1, Winter-Spring 2010)
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 and quadrature squeezing parameters are discussed as well.