A KIND OF q-DEFORMED OSCILLATORS AND THEIR NON-BOSONIC EXCITATIONS WHEN qk=1 | Zendy

Yan Hong | Zendy; CHEN WEI | Zendy; Zhe Chang | Zendy; Han-Ying Guo | Zendy

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A KIND OF q-DEFORMED OSCILLATORS AND THEIR NON-BOSONIC EXCITATIONS WHEN qk=1

Author(s) -

Yan Hong,

CHEN WEI,

Zhe Chang,

Han-Ying Guo

Publication year - 1991

Publication title -

acta physica sinica

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.

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