1996/11/21 by Jon Magne Leinaas, Leinaas, Jon Magne
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #cond-mat #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9611167
22 pages, Invited lecture given at the 4th International School of Theoretical Physics, Symmetry and Structural Properties of Condensed Matter, Zajaczkowo, 28.August - 4.September 1996
arxiv created 1996/11/21 · arxiv updated 2009/11/30
A short review is given of how to apply the algebraic Heisenberg quantization scheme to a system of identical particles. For two particles in one dimension the approach leads to a generalization of the Bose and Fermi description which can be expressed in the form of a 1/x2 statistics interaction between the particles. For an N-particle system it is shown how a particular infinite-dimensional algebra arises as a generalization of the su(1,1) algebra which is present for the two-particle system.