Theory of integer quantum Hall polaritons in graphene

We present a theory of the cavity quantum electrodynamics of the graphene cyclotron resonance. By employing a canonical transformation, we derive an effective Hamiltonian for the system comprised of two neighboring Landau levels dressed by the cavity electromagnetic field (integer quantum Hall polaritons). This generalized Dicke Hamiltonian, which contains terms that are quadratic in the electromagnetic field and respects gauge invariance, is then used to calculate thermodynamic properties of the quantum Hall polariton system. Finally, we demonstrate that the generalized Dicke description fails when the graphene sheet is heavily doped, i.e. when the Landau level spectrum of 2D massless Dirac fermions is approximately harmonic. In this case we `integrate out' the Landau levels in valence band and obtain an effective Hamiltonian for the entire stack of Landau levels in conduction band, as dressed by strong light-matter interactions.Comment: 20 pages, 7 figure

The expression of certainty and uncertainty in social communication campaigns

This study represents the final step in a wide research intended to compare\ud the print, television and radio advertising campaigns on issues of racism and\ud immigration, launched in Italy since 1990s. Verifying whether the\ud communicative process, the linguistic and extra-linguistic features\ud expressing the status of the foreigners, the kind of relationship between\ud natives and non natives and the social roles assigned to immigrants in the\ud social communication campaigns vary in accordance to the kind of the\ud advertising agency (governmental/ non governmental/ private bodies), and\ud to the Italian political context (left wing/ right wing) we determine the way the advertising agencies express the degree of certainty and uncertainty towards the message they are conveying to Italian hearers and readers

Bounded and unbounded polynomials and multilinear forms: Characterizing continuity

In this paper we prove a characterization of continuity for polynomials on a normed space. Namely, we prove that a polynomial is continuous if and only if it maps compact sets into compact sets. We also provide a partial answer to the question as to whether a polynomial is continuous if and only if it transforms connected sets into connected sets. These results motivate the natural question as to how many non-continuous polynomials there are on an infinite dimensional normed space. A problem on the \emph{lineability} of the sets of non-continuous polynomials and multilinear mappings on infinite dimensional normed spaces is answered.Comment: 8 page

Geração e organização de informações de culturas bioenergéticas: impacto de mudanças climáticas e avaliação espaço-temporal.

O objetivo do presente trabalho foi avaliar a vulnerabilidade de seis culturas bioenergéticas às mudanças climáticas

Integral refinable operators exact on polynomials

AbstractWe study integral refinable operators of integral type exact on polynomials of even degree constructed by using refinable B-bases of GP type. We prove a general theorem of existence and uniqueness. Then we study the Lp-norm of these operators and we give error bounds in approximating functions and their derivatives belonging to suitable classes. Numerical results and comparisons with other quasi-interpolatory operators having the same order of exactness on polynomial reproduction are presented