On the spectral analysis of many-body systems

Details On the spectral analysis of many-body systems On the spectral analysis of many-body systems

2009-11-26

arxiv.org/abs/0911.5126v1

Physics

Mathematical Physics

This is a strongly modified version of arXiv:0806.0827v1 so we preferred to change the title

Scientific paper

We describe the essential spectrum and prove the Mourre estimate for quantum particle systems interacting through k-body forces and creation-annihilation processes which do not preserve the number of particles. For this we compute the ``Hamiltonian algebra'' of the system, i.e. the C*-algebra C generated by the Hamiltonians we want to study, and show that, as in the N-body case, it is graded by a semilattice. Hilbert C*-modules graded by semilattices are involved in the construction of C. For example, if we start with an N-body system whose Hamiltonian algebra is B and then we add field type couplings between subsystems, then the many-body Hamiltonian algebra C is the imprimitivity algebra of a graded Hilbert B-module.

Affiliated with

Also associated with

No associations

Rating

On the spectral analysis of many-body systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the spectral analysis of many-body systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the spectral analysis of many-body systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-116972