The $q$-deformed Bogoliubov transformations
High Energy Physics - Theory
2018-01-10 v3 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
An approach for -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.
Cite
@article{arxiv.1604.07344,
title = {The $q$-deformed Bogoliubov transformations},
author = {Ivan Arraut and Carlos Segovia},
journal= {arXiv preprint arXiv:1604.07344},
year = {2018}
}
Comments
Published version, 5 pages