3 papers
math-ph2025
A New -Heisenberg Algebra
Julio Cesar Jaramillo Quiceno
This work introduces a novel - deformation of the Heisenberg algebra, designed to unify and extend several existing -deformed formulations. Starting from the canonical…
math-ph2025
-Differential Operators for -Spinor Variables
Julio Cesar Jaramillo Quiceno
We introduce a \emph{q}-differential operator adapted to \emph{q}-spinor variables, establishing a corresponding \emph{q}-spinor chain rule and defining both standard and Dirac-typ…
math-ph2025
On the Deformed Algebras Applications to Quantum Physics
Julio Cesar Jaramillo Quiceno, Plamen Neytchev Nechev
Some possible applications of deformed algebras to Quantum Physics are considered based on a rigorous approach. Jackson integrals are expressed in the context of the equipped separ…