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

  1. Pérez Pardo, Juan Manuel
Dirigida per:
  1. Fernando Lledó Director/a
  2. Luis Alberto Ibort Latre Director

Universitat de defensa: Universidad Carlos III de Madrid

Fecha de defensa: 25 de d’octubre de 2013

Tribunal:
  1. Antonio García García President/a
  2. José Luis González Llavona Secretari
  3. Giuseppe Marmo Vocal

Tipus: Tesi

Teseo: 348504 DIALNET lock_opene-Archivo editor

Resum

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