Low energy effects for a family of Friedrichs models

Details Low energy effects for a family of Friedrichs models Low energy effects for a family of Friedrichs models

2006-04-12

arxiv.org/abs/math/0604282v1

Mathematics

Spectral Theory

11 pages

Scientific paper

A family of Friedrichs models with rank one perturbations $h_\mu(p),$ $p \in (-\pi,\pi]^3,\mu>0$ associated to a system of two particles on the lattice $\Z^3$ is considered. The existence of a unique strictly positive eigenvalue below the bottom of the essential spectrum of $h_\mu(p)$ for all nontrivial values $p \in (-\pi,\pi]^3$ under the assumption that $h_\mu(0)$ has either a zero energy resonance (virtual level) or a threshold eigenvalue is proved. Low energy asymptotic expansion for the Fredholm determinant associated to family of Friedrichs models is obtained.

Affiliated with

Also associated with

No associations

Rating

Low energy effects for a family of Friedrichs models 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 Low energy effects for a family of Friedrichs models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Low energy effects for a family of Friedrichs models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-225534