On the theory of self-dajoint extensions of the Laplace-Beltrami operator quadratic forms and symmetry
- Pérez Pardo, Juan Manuel
- Fernando Lledó Director
- Luis Alberto Ibort Latre Director
Universidade de defensa: Universidad Carlos III de Madrid
Fecha de defensa: 25 de outubro de 2013
- Antonio García García Presidente/a
- José Luis González Llavona Secretario
- Giuseppe Marmo Vogal
Tipo: Tese
Resumo
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. ------------------------------------------------------------------------------------------------------------