26 July 1993 An extension of Glauber's definition of coherence for a given lie algebra
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Proceedings Volume 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology; 198313 (1993) https://doi.org/10.1117/12.2308458
Event: 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 1993, Budapest, Hungary
Abstract
We show that fermionic particles emitted by a stochastic source develop a behaviour which is different from usual Fermi statistics. The particles are described by creation and anihilation operators which span a sl(2, R) algebra. The corresponding Glauber-coherent states,1 defined in an appropriate representation are identical to coherent states found earlier by Barut and Girardello2 in solving the eigenvalue equation of the step operators of the su(1, 1) algebra. This establishes a case in which the mathematically extended notion of coherent states as eigenstates of step operators of an arbitrary Lie algebra finds a physical interpretation.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
E. Ledinegg, "An extension of Glauber's definition of coherence for a given lie algebra", Proc. SPIE 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 198313 (26 July 1993); doi: 10.1117/12.2308458; https://doi.org/10.1117/12.2308458
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