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

YAN HONG; CHEN WEI; CHANG ZHE; GUO HAN-YING

doi:10.7498/aps.40.329

Abstract
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.
Authors and contacts
YAN HONG¹,

CHEN WEI²,

CHANG ZHE²,

GUO HAN-YING¹

(1)中国高等科学技术中心世界实验室; (2)中国科学院理论物理研究所,北京,100080
References

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Vol. 40, Issue 3 - 1991-02-05

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

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

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