Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Belmonte, Fabian"'
Autor:
Belmonte, Fabian, De Nittis, Giuseppe
The main goal of this work is to provide a description of the {trace per unit volume} in terms of the {Dixmier trace} (regularized by the resolvent of the harmonic oscillator) for a large class of two-dimensional \emph{magnetic operators} perturbed b
Externí odkaz:
http://arxiv.org/abs/2312.08294
Autor:
Belmonte, Fabian, Bustos, Harold
Given a field of Hilbert spaces there are two ways to endow it with a smooth structure: the standard and geometrical notion of Hilbert (or Hermitian) bundle and the analytical notion of smooth field of Hilbert spaces. We study the relationship betwee
Externí odkaz:
http://arxiv.org/abs/2308.04066
Autor:
Belmonte, Fabian, De Nittis, Giuseppe
The main goal of this work is to provide two new formulas for the computation of the trace per unit volume, and consequently the integrated density of states (IDOS), for magnetic operators. These formulas also permit the use of the Dixmier trace in t
Externí odkaz:
http://arxiv.org/abs/2111.03410
Autor:
Belmonte, Fabián, Cuéllar, Sebastián
We prove that Weyl quantization preserves constant of motion of the Harmonic Oscillator. We also prove that if $f$ is a classical constant of motion and $\mathfrak{Op}(f)$ is the corresponding operator, then $\mathfrak{Op}(f)$ maps the Schwartz class
Externí odkaz:
http://arxiv.org/abs/2001.11621
Autor:
Belmonte, Fabian
We develop a quantization method, that we name decomposable Weyl quantization, which ensures that the constants of motion of a prescribed finite set of Hamiltonians are preserved by the quantization. Our method is based on a structural analogy betwee
Externí odkaz:
http://arxiv.org/abs/1505.07250
Akademický článek
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Autor:
Belmonte, Fabian, Mantoiu, Marius
Publikováno v:
SIGMA 8 (2012), 091, 12 pages
We show that Rieffel's deformation sends covariant C(T)-algebras into C(T)-algebras. We also treat the lower semi-continuity issue, proving that Rieffel's deformation transforms covariant continuous fields of C*-algebras into continuous fields of C*-
Externí odkaz:
http://arxiv.org/abs/1101.2751
Publikováno v:
Journal of Operator Theory, 69 (1 2013), 33-58
We introduce magnetic twisted actions of X=R^n on general abelian C*-algebras and study the associated twisted crossed product and pseudodifferential algebras in the framework of strict deformation quantization.
Comment: 19 pages
Comment: 19 pages
Externí odkaz:
http://arxiv.org/abs/1006.3221
Autor:
Belmonte, Fabian1 (AUTHOR), De Nittis, Giuseppe2 (AUTHOR) gidenittis@mat.uc.cl
Publikováno v:
Letters in Mathematical Physics. Apr2022, Vol. 112 Issue 2, p1-61. 61p.
Publikováno v:
Journal of Operator Theory, 2013 Jan 01. 69(1), 33-58.
Externí odkaz:
https://www.jstor.org/stable/24717455