Non-Bosonic Excitations in q -Oscillator System for q a Root of Unity

Abstract
The systems of q-deformed oscillators of type two are studied in the case of q being the roots of unity. Non-bosonic excitations are found in (quantum mechanical) q-oscillators, and the classical mechanical counterparts and the saturation property are given. Especially when rank k is near 4, the excitations are found violating the Pauli exclusion principle, and possible physical interpretation is investigated.

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