On the Construction of Generalized Grassmann Coherent States

2005/11/07 by M. El Baz, Baz, M. El · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #81R30 #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Mechanical and Optical Resonators #Molecular spectroscopy and chirality #math-ph #math.MP #msc:81R30

paper · pdf · doi:10.48550/arxiv.math-ph/0511028

14 pages

arxiv created 2005/11/07 · openalex publication_date 2005/11/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A generalized definition of a deformation of the fermionic oscillator (k-fermionic oscillators) is proposed. Two prescriptions for the construction of generalized Grassmann coherent states for this kind of oscillators are derived. The two prescriptions differs in the nature of the generalized Grassmann variables used. While we use Majid's definition for such variables in the first case, Kerner's definition is used in the second one.

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