Abstract
In this chapter we shall apply the techniques developed so far in this text to the spectral theory of N-body Hamiltonians. The principal results are contained in Section 9.4. In particular we prove the Mourre estimate for a very large class of short range and long range (local or non-local) many-body interactions; our method of proof is based on the algebraic approach described in Chapter 8 and is quite different from the methods of Perry, Sigal, Simon [PSS] and Froese, Herbst [FH1].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 1996 Springer Basel
About this chapter
Cite this chapter
Amrein, W.O., de Monvel, A.B., Georgescu, V. (1996). Spectral Theory of N-Body Hamiltonians. In: C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians. Modern Birkhäuser Classics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0733-3_9
Download citation
DOI: https://doi.org/10.1007/978-3-0348-0733-3_9
Published:
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0732-6
Online ISBN: 978-3-0348-0733-3
eBook Packages: Springer Book Archive