5 papers
Perturbation Theory and the Quantum Rabi-model
Marcello Malagutti, Alberto Parmeggiani
In the first part of the paper we study a perturbative model of the Rabi system of Quantum Optics. We are therefore able to describe, through Rellich's theory, an analytic expansio…
Propagation of Shubin-Sobolev singularities of Weyl-quantizations of complex quadratic forms
Marcello Malagutti, Alberto Parmeggiani, Davide Tramontana
The aim of this work is to develop the Hörmander microlocal theory in the isotropic framework and use the results we obtain to study the propagation of singularities for an evoluti…
On The Spectral Zeta Function Of Second Order Semiregular Non-Commutative Harmonic Oscillators
Marcello Malagutti
In this paper we give a meromorphic continuation of the spectral zeta function for semiregular Non-Commutative Harmonic Oscillators (NCHO). By ``semiregular system'' we mean system…
Semialgebraic and Continuous Solution of Linear Equations with Semialgebraic Coefficients
Marcello Malagutti
Starting from the results of Charles Fefferman and Janos Kollár in \texit{Continuous Solutions of Linear Equations} [1], we adopt a new approach based on Fefferman's techniques of…
Semialgebraic Solutions of Linear Equations with Continuous Semialgebraic Coefficients
Marcello Malagutti
Starting from the results of Charles Fefferman and Janos Kollàr in Continuous Solutions of Linear Equations [1], we adopt a new approach based on Fefferman's techniques of Glaeser…