Perturbation of Spectra in Hilbert Space - Couverture souple

American Mathematical Society

Couverture souple

ISBN 10 : 0821846825 ISBN 13 : 9780821846827

Editeur : American Mathematical Society, 2008

Synopsis

The mathematics of the quantum theory of fields has been a continuing puzzle to mathematicians and physicists for many decades. Perturbation theory remains an important element of quantum mechanics. Computationally, it is one of the most successful methods available. However, various features of field theory produce difficulties with the perturbative approach. Here, Friedrichs assumes certain smoothness of the interaction Hamiltonian, which eliminates divergence of the terms in the perturbation expansion, but, as a consequence, forces him to give up the possibility of a local Lorentz-invariant interaction.In this book based on his 1960 lectures in Boulder, Friedrichs looks at some of the unresolved mathematical questions in the quantum field theory of the time, with an emphasis on problems coming from perturbation theory. The lectures begin with an introduction to perturbation theory of discrete and continuous spectra and the theory of scattering. These methods are then applied to perturbations by annihilation and creation operators. Each of the three chapters has a corresponding appendix, where Friedrichs discusses some alternative approaches and additional material relating to the main text.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 0821846825
• ISBN 13: 9780821846827
• Reliure: Broché
• Nombre de pages: 178
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible