On Solutions to the q-Deformed Oscillator Systems and the q-Oscillator Algebra Hq (4) |
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Authors: | YAN Hong |
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Institution: | 1. CCAST (World Laboratory), P. O. Box 8730, Beijing 100080, China;
2. Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China |
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Abstract: | Discussions upon the q-oscillator systems and the q-oscillator algebra Hq(4) are provided,and the case of |q| = 1 ia detailed. A remarkable connection between SHq(2) and Hq(4) is indicated and investigated. The single q-oscillator system t solved and shown to be analogous to the parafermion (PF), with the specific case analogous to the third order PF discussed in detail. The properties of the representations and a finite chain model are exploited. |
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