1997/10/03 by M. Daoud, Daoud, M., Y. Hassouni +3
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Quantum Physics (quant-ph) #hep-th #math-ph #math.MP #math.QA #q-alg #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9710016
15 pages, Latex file. Work presented both to the Symposium `Symmetries in Science X' (Bregenz, Austria, 13-18 July 1997) and to the `VIII International Conference on Symmetry Methods in Physics' (Dubna, Russia, 28 July - 2 August 1997)
arxiv created 1997/10/03 · arxiv updated 2009/11/30
Operators, refered to as k-fermion operators, that interpolate between boson and fermion operators are introduced through the consideration of two noncommuting quon algebras. The deformation parameters for these quon algebras are roots of unity connected to an integer k. The case k=2 corresponds to fermions and the limiting case k going to infinity to bosons. Generalized coherent states and supercoherent states are investigated. The Dirac quantum phase operator and the Fairlie-Fletcher-Zachos algebra are also considered.