On the theory of self-dajoint extensions of the Laplace-Beltrami operator quadratic forms and symmetry
- Pérez Pardo, Juan Manuel
- Fernando Lledó Directeur/trice
- Luis Alberto Ibort Latre Directeur
Université de défendre: Universidad Carlos III de Madrid
Fecha de defensa: 25 octobre 2013
- Antonio García García President
- José Luis González Llavona Secrétaire
- Giuseppe Marmo Rapporteur
Type: Thèses
Résumé
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. ------------------------------------------------------------------------------------------------------------