3 papers
math.FA2023
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…
math.FA2021
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…
math-ph2020
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…