Some quantum optical states as realizations of Lie groups
Obada, A. (2011). Some quantum optical states as realizations of Lie groups. EKB Journal Management System, 19(1), 39-44. doi: 10.1016/j.joems.2011.09.013
Abdel-Shafy Fahmy Obada. "Some quantum optical states as realizations of Lie groups". EKB Journal Management System, 19, 1, 2011, 39-44. doi: 10.1016/j.joems.2011.09.013
Obada, A. (2011). 'Some quantum optical states as realizations of Lie groups', EKB Journal Management System, 19(1), pp. 39-44. doi: 10.1016/j.joems.2011.09.013
Obada, A. Some quantum optical states as realizations of Lie groups. EKB Journal Management System, 2011; 19(1): 39-44. doi: 10.1016/j.joems.2011.09.013

Some quantum optical states as realizations of Lie groups

Journal of the Egyptian Mathematical Society
Volume 19, Issue 1, June 2011, Page 39-44  XML PDF (381.84 K)
DOI: 10.1016/j.joems.2011.09.013
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Author
Abdel-Shafy Fahmy Obada
Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt
Abstract
We start with the Heisenberg–Weyl algebra and after the definitions of the Fock states we give the definition of the coherent state of this group. This is followed by the exposition of the SU(2) and SU(1, 1) algebras and their coherent states. From there we go on describing the binomial state and its extensions as realizations of the SU(2) group. This is followed by considering the negative binomial states, and some squeezed states as realizations of the SU(1, 1) group. Generation schemes based on physical systems are mentioned for some of these states.
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