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arXiv · 1604.07344

The $q$-deformed Bogoliubov transformations

Ivan Arraut·Carlos Segovia
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Abstract

An approach for $q$-deformed Bogoliubov transformations is presented. Assuming a left-right module action together with an *-operation and deformed commutation relations, we construct a q-deformation of the nonlinear Bogoliubov transformation. Moreover we give a general result which can be applied in Quantum Field Theory. Finally, we introduce a Hopf structure when q is a root of unity.

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Ivan Arraut, Carlos Segovia. 2018-01-05. The $q$-deformed Bogoliubov transformations. https://doi.org/10.1016/j.physleta.2017.12.044

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