On the theory of self-dajoint extensions of the Laplace-Beltrami operator quadratic forms and symmetry
- Pérez Pardo, Juan Manuel
- Fernando Lledó Doktorvater/Doktormutter
- Luis Alberto Ibort Latre Doktorvater
Universität der Verteidigung: Universidad Carlos III de Madrid
Fecha de defensa: 25 von Oktober von 2013
- Antonio García García Präsident/in
- José Luis González Llavona Sekretär
- Giuseppe Marmo Vocal
Art: Dissertation
Zusammenfassung
The main objective of this dissertation is to analyse thoroughly the construction of self-adjoint extensions of the Laplace-Beltrami operator defined on a compact Riemannian manifold with boundary and the role that quadratic forms play to describe them. Moreover, we want to emphasise the role that quadratic forms can play in the description of quantum systems. ------------------------------------------------------------------------------------------------------------