Volume 4, Issue 1 (International Journal of Optics and Photonics (IJOP) Vol. 4, No. 1, Winter-Spring 2010)                   IJOP 2010, 4(1): 9-22 | Back to browse issues page

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Miri M, Khorasani S. Displacement and Squeeze Operators of a Three-Dimensional Harmonic Oscillator and Their Associated Quantum States. IJOP 2010; 4 (1) :9-22
URL: http://ijop.ir/article-1-35-en.html
Displacement and Squeeze Operators of a Three-Dimensional Harmonic Oscillator and Their Associated Quantum States
Mehdi Miri1 , Sina Khorasani * 1
1- School of Electrical Engineering, Sharif University of Technology
Abstract:   (6895 Views)
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.
Keywords: Coherent states, Phase space, Squeezed states, Operator algebra.
Full-Text [PDF 1144 kb]   (5461 Downloads)    
Type of Study: Research | Subject: General
Received: 2013/06/16 | Revised: 2015/03/10 | Accepted: 2015/03/10 | Published: 2015/03/10
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