vix.ing · top · new · best · stats · spec

TRANSFORMATIONS OF q-BOSON AND q-FERMION ALGEBRAS

2001/09/10 by P. Narayana Swamy
Engineering · Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Boson #Fermion #Mathematics #Nonlinear Waves and Solitons #Optical Network Technologies #Particle physics #Physics #Pure mathematics #quant-ph

paper · pdf · doi:10.1142/s0217984901002671

7 pages, RevTex

openalex publication_date 2001/09/10 · arxiv created 2001/09/13 · arxiv updated 2016/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the algebras satisfied by q-deformed boson and fermion oscillators, in particular the transformations of the algebra from one form to another. Based on a specific algebra proposed in recent literature, we show that the algebra of deformed fermions can be transformed to that of undeformed standard fermions. Furthermore, we also show that the algebra of q-deformed fermions can be transformed to that of undeformed standard bosons.

Citations