7 citations · 14 across the 6 of their papers we have counts for
6 papers
Smooth Fields of Hilbert Spaces, Hermitian bundles and Riemannian Direct Images
Fabian Belmonte, Harold Bustos
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 noti…
Dixmier trace and the DOS of magnetic operators
Fabian Belmonte, Giuseppe De Nittis
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 o…
Smooth Fields of Operators and Some Examples Coming from Canonical Quantization
F. Belmonte, H. Bustos, S. Cuéllar
We introduce a notion of smooth fields of operators following the notion of smooth fields of Hilbert spaces recently defined by L. Lempert and R. Szőoke arXiv:1004.4863(2) . Formal…
Constants of Motion of the Harmonic Oscillator
Fabián Belmonte, Sebastián Cuéllar
We prove that Weyl quantization preserves constant of motion of the Harmonic Oscillator. We also prove that if is a classical constant of motion and is the c…
Canonical Quantization of Constants of Motion
Fabian Belmonte
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 b…
Magnetic twisted actions on general abelian C*-algebras
Fabian Belmonte, Max Lein, Marius Mantoiu
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 s…