Uncertainty relation for non-Hermitian operators
- Autori: Bagarello, F
- Anno di pubblicazione: 2023
- Tipologia: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/637216
Abstract
In this paper we discuss some aspects of the Heisenberg uncertainty relation, mostly from the point of view of non self-adjoint operators. Some equivalence results, and some refinements of the inequality, are deduced, and some relevant examples are discussed. We also begin a sort of dynamical analysis of the relation, in connection with what has been recently called gamma-dynamics and gamma-symmetries, and we discuss in some details the role of different scalar products in our analysis. The case of self-adjoint operators is recovered as a special case of our general settings.