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math-ph2023
Dixmier trace and the DOS of perturbed magnetic operators
Fabian Belmonte, Giuseppe De Nittis
The main goal of this work is to provide a description of the {trace per unit volume} in terms of the {Dixmier trace} (regularized by the resolvent of the harmonic oscillator) for…
math-ph2023
About the notion of eigenstates for -algebras and some application in Quantum Mechanics
Giuseppe De Nittis, Danilo Polo
This work is concerned with the notion of {eigenstates} for -algebras. After reviewing some basic and structural results, we explore the possibility of reinterpreting certain…