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Two‐Dimensional Quantum Gas
Author(s) -
Aldrovandi R.
Publication year - 1992
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190400703
Subject(s) - fermion , boson , identical particles , generalization , braid group , physics , symmetry (geometry) , ideal gas , ideal (ethics) , theoretical physics , space (punctuation) , quantum statistical mechanics , quantum , quantum mechanics , pure mathematics , mathematics , geometry , mathematical analysis , computer science , philosophy , epistemology , operating system
Identical impenetrable particles in a 2‐dimensional configuration space obey braid statistics, intermediate between bosons and fermions. This statistics, based on braid groups, is introduced as a generalization of the usual statistics founded on the symmetric groups. The main properties of an ideal gas of such particles are presented. They do interpolate the properties of bosons and fermions but include classical particles as a special case. Restriction to 2 dimensions precludes lambda points but originates a peculiar symmetry, responsible in particular for the identity of boson and fermion specific heats.