1994/02/16 by S. U. Park, Park, S. U.
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9402090
15pages, JUTP-94-1, hep-th/yymmnnn, LaTeX
arxiv created 1994/02/16 · openalex publication_date 1994/02/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The simple algebras of a dressed operator, which is composed of a dressing and a residual operators, are averaged following a proper statistics of the dressing one. In the Bose-Einstein statistics, a (fermionic) Calogero-Vasiliev oscillator, q-boson (fermion), and (fermionic) suq(1,1) are obtained for each bosonic (fermionic) residual operator. In the Fermi-Dirac statistics, new similar algebras are derived for each residual operator. Constructions of dual q-algebras, such as a dual Calogero-Vasiliev oscillator, a dual q-boson and a suq(2), and prospects are discussed.