Open AccessA KIND OF q-DEFORMED OSCILLATORS AND THEIR NON-BOSONIC EXCITATIONS WHEN qk=1
Author(s) -
Yan Hong,
Wei Chen,
Zhe Chang,
Hongxia Guo
Publication year - 1991
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.40.329
Subject(s) - physics , fermi gamma ray space telescope , quantum mechanics , rank (graph theory) , condensed matter physics , mathematical physics , combinatorics , mathematics
The q-oscillator is studied in the case of q being roots of unity, and SUq(2) and SUq(1, 1), the algebras realized through the oscillators are indicated. The excitations are found to be non-bosonic and the classical mechanical counterparts are given. Especially when rank k is 4 and 6, the excitations are shown to be fermi and parafermi like respectively. Short comment upon [6] is given to show that parts of the results therein are trivial.