Spectral Properties of Hamiltonian Operators

Spectra and essential spectra of selfadjoint and essentially selfadjoint operators.- Schr¿dinger operators.- Perturbations small at infinity.- Examples.- Operators acting only on part of the variables.- N-particle Hamiltonians.- Symmetries of the Hamiltonian.- The spectrum of the Hamiltonian of a free system.- A lower bound of the essential spectrum.- The essential spectrum of the Hamiltonian of an N-particle system with external forces.- The essential spectrum of the internal Hamiltonian of a free system.- Proof of theorem 11.16.

List of contents

Spectra and essential spectra of selfadjoint and essentially selfadjoint operators.- Schrödinger operators.- Perturbations small at infinity.- Examples.- Operators acting only on part of the variables.- N-particle Hamiltonians.- Symmetries of the Hamiltonian.- The spectrum of the Hamiltonian of a free system.- A lower bound of the essential spectrum.- The essential spectrum of the Hamiltonian of an N-particle system with external forces.- The essential spectrum of the internal Hamiltonian of a free system.- Proof of theorem 11.16.

Product details

• Authors: K Jörgens, K. Jörgens, J Weidmann, J. Weidmann
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 26.06.2009
• EAN: 9783540061519
• ISBN: 978-3-540-06151-9
• No. of pages: 146
• Dimensions: 173 mm x 238 mm x 9 mm
• Weight: 258 g
• Illustrations: VI, 146 p.
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics