Квазібозони, складені з двох ферміонів, та деформовані осцилятори

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 q...

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Bibliographic Details
Date:2022
Main Authors: Gavrilik, A.M., Kachurik, I.I., Mishchenko, Yu.A.
Format: Article
Language:Ukrainian
English
Published: Publishing house "Academperiodika" 2022
Subjects:
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Online Access:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2022031
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Journal Title:Ukrainian Journal of Physics

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Ukrainian Journal of Physics
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Summary: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 latterconstituting a widely studied field of modern quantum physics. In this paper, it is proven that the deformed oscillators which realizequasi-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.