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Perturbation Theory for the Thermal Hamiltonian: 1D Case
Giuseppe De Nittis, Vicente Lenz
This work continues the study of the thermal Hamiltonian, initially proposed by J. M. Luttinger in 1964 as a model for the conduction of thermal currents in solids. The previous wo…
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…
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…
The Geometry of (non-Abelian) Landau levels
Giuseppe De Nittis, Kyonori Gomi, Massimo Moscolari
The purpose of this paper is threefold: First of all the topological aspects of the Landau Hamiltonian are reviewed in the light (and with the jargon) of theory of topological insu…
Spectral and scattering theory of one-dimensional coupled photonic crystals
Giuseppe De Nittis, Massimo Moscolari, Serge Richard +1
We study the spectral and scattering theory of light transmission in a system consisting of two asymptotically periodic waveguides, also known as one-dimensional photonic crystals,…
On the K-theoretic classification of dynamically stable systems
Giuseppe De Nittis, Kiyonori Gomi
This paper deals with the construction of a suitable topological -theory capable of classifying topological phases of dynamically stable systems described by gapped -self-adj…