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arXiv · 1412.0373

Generalized fermion algebra

Won Sang Chung·Mohammed Daoud
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Abstract

A one-parameter generalized fermion algebra ${\cal B}_κ(1)$ is introduced. The Fock representation is studied. The associated coherent states are constructed and the polynomial representation, in the Bargmann sense, is derived. A special attention is devoted to the limiting case $κ\rightarrow 0$ where the fermionic coherent states, labeled by Grassmann variables, are obtained. The physical relevance of the algebra is illustrated throughout Calogero-Sutherland system.

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Won Sang Chung, Mohammed Daoud. 2014-12-11. Generalized fermion algebra. https://doi.org/10.1142/s021773231450045x

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