Modular Structures and Landau Levels

TL;DR

This paper reviews recent advances in Landau levels and modular theory, extending the framework to quasi *-algebras to include unbounded observables in quantum systems.

Contribution

It introduces an extended framework for Landau levels and modular theory using quasi *-algebras, accommodating unbounded observables.

Findings

Extended the modular theory framework to quasi *-algebras.

Included unbounded observables in the analysis.

Provided insights into Landau levels within this new framework.

Abstract

We review some recent results concerning Landau levels and Tomita-Takesaki modular theory. We also extend the general framework behind this to quasi *-algebras, to take into account the possible appearance of unbounded observables.