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math-ph2020★ 6 cited
The Noncommutative Geometry of the Landau Hamiltonian: Metric Aspects
Giuseppe De Nittis, Maximiliano Sandoval
This work provides a first step towards the construction of a noncommutative geometry for the quantum Hall effect in the continuum. Taking inspiration from the ideas developed by B…
math-ph2020
Spectral Theory of the Thermal Hamiltonian: 1D Case
Giuseppe De Nittis, Vicente Lenz
In 1964 J. M. Luttinger introduced a model for the quantum thermal transport. In this paper we study the spectral theory of the Hamiltonian operator associated to the Luttinger's m…