On the theory of self-dajoint extensions of the Laplace-Beltrami operator quadratic forms and symmetry

  1. Pérez Pardo, Juan Manuel
Supervised by:
  1. Fernando Lledó Director
  2. Luis Alberto Ibort Latre Director

Defence university: Universidad Carlos III de Madrid

Fecha de defensa: 25 October 2013

Committee:
  1. Antonio García García Chair
  2. José Luis González Llavona Secretary
  3. Giuseppe Marmo Committee member

Type: Thesis

Teseo: 348504 DIALNET lock_opene-Archivo editor

Abstract

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. ------------------------------------------------------------------------------------------------------------