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Proceedings Paper

An extension of Glauber's definition of coherence for a given lie algebra
Author(s): E. Ledinegg
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Paper 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.

Paper Details

Date Published: 26 July 1993
PDF: 2 pages
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
Show Author Affiliations
E. Ledinegg, Technische Univ. Graz (Austria)


Published in SPIE Proceedings Vol. 1983:
16th Congress of the International Commission for Optics: Optics as a Key to High Technology
Gyorgy Akos; Tivadar Lippenyi; Gabor Lupkovics; Andras Podmaniczky, Editor(s)

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