On the harmonic oscillator realisation of q-oscillators
D.Gangopadhyay, A.P.Isaev
TL;DR
This paper presents a general framework for realizing bosonic q-oscillators through harmonic oscillators, showing that existing methods are specific instances of this broader solution.
Contribution
It introduces a comprehensive harmonic oscillator realization of bosonic q-oscillators, unifying and extending previous specific approaches.
Findings
Existing realizations are special cases of the general solution
Provides a unified framework for bosonic q-oscillator realization
Enhances understanding of q-oscillator algebra representations
Abstract
The general version of the bosonic harmonic oscillator realisation of bosonic q-oscillators is given. It is shown that the currently known realisation is a special case of our general solution. The investigation has been performed at the Laboratory of theoretical Physics,JINR.
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Taxonomy
TopicsMathematical functions and polynomials · Mathematical Analysis and Transform Methods