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Uncertainty relation for non-Hermitian operators

F Bagarello

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Source: Crossref

Published: Oct 4, 2023

DOI: 10.1088/1751-8121/acfbc7

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Source abstract

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 γ -dynamics and γ -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.

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