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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations Quantum Simulation

Plethora of q-oscillators possessing pairwise energy level degeneracy

arXiv

Authors: A. M. Gavrilik, A. P. Rebesh

Year

2013

Paper ID

8344

Status

Preprint

Abstract Read

~2 min

Abstract Words

113

Citations

N/A

Abstract

Using the q,p-deformed oscillators as basic generating system, we obtain diverse classes (which form distinct sectors of functional continua) of novel versions of q-deformed oscillators, all of which share the property of "accidental" degeneracy within a fixed pair of energy levels E_{m} = E_{m+1}, m\ge 1, occurring at the real deformation parameter fixed by an appropriate value q(m) that depends on m and on particular model. Likewise, the degeneracy E_{0} = E_{k} where kge 2 takes place, for properly fixed q=q(k), in most of those models. The formerly studied model of q-oscillator known as the Tamm-Dancoff cutoff deformed oscillator is contained in the continua as isolated special case.

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Using the q,p-deformed oscillators as basic generating system, we obtain diverse classes (which form distinct sectors of functional continua) of novel versions of q-deformed...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1306.6573 [2] arXiv https://arxiv.org/abs/1306.6573 [3] Publisher https://arxiv.org/abs/1306.6573

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