Two-fermion Composite Quasi-bosons and Deformed Oscillators
DOI:
https://doi.org/10.15407/ujpe56.9.948Keywords:
-Abstract
The concept of quasi-bosons or composite bosons (like mesons, excitons, etc.) has a wide range of potential physical applications. Even composed of two pure fermions, the quasi-boson creation and annihilation operators satisfy non-standard commutation relations. It is natural to try to realize the quasi-boson operators by the operators of a deformed (nonlinear) oscillator, the latter
constituting a widely studied field of modern quantum physics. In this paper, it is proven that the deformed oscillators which realize
quasi-boson operators in a consistent way really exist. The conditions for such realization are derived, and the uniqueness of the family of deformations under consideration is shown.
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