Sub-bosonic (deformed) ladder operators
Abstract
The canonical operator () represents the ideal process of adding (subtracting) an {\it exact} amount of energy to (from) a physical system in both elementary quantum mechanics and quantum field theory. This is a ``sharp'' notion in the sense that no variability around is possible at the operator level. In this work, we present a class of deformed creation and annihilation operators that originates from a rigorous notion of fuzziness. This leads to deformed, sub-bosonic commutation relations inducing a simple algebraic structure with modified eigenenergies and Fock states. In addition, we investigate possible consequences of the introduced formalism in quantum field theories, as for instance, deviations from linearity in the dispersion relation for free quasibosons.
Cite
@article{arxiv.2009.06392,
title = {Sub-bosonic (deformed) ladder operators},
author = {J. Damastor Serafim and Ricardo Ximenes and Fernando Parisio},
journal= {arXiv preprint arXiv:2009.06392},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:1905.08206 Close to the published version