Bound States at Threshold in Systems with Coulomb Repulsion

Details Bound States at Threshold in Systems with Coulomb Repulsion Bound States at Threshold in Systems with Coulomb Repulsion

2006-11-27

arxiv.org/abs/math-ph/0611075v2

Physics

Mathematical Physics

Scientific paper

The eigenvalue absorption for a many-particle Hamiltonian depending on a parameter is analyzed in the framework of non--relativistic quantum mechanics. The long--range part of pair potentials is assumed to be pure Coulomb and no restriction on the particle statistics is imposed. It is proved that if the lowest dissociation threshold corresponds to the decay into two likewise non--zero charged clusters then the bound state, which approaches the threshold, does not spread and eventually becomes the bound state at threshold. The obtained results have a direct application in atomic and nuclear physics. Under minor assumptions a positive proof is given to the conjecture that negative atomic ions have a bound state at the threshold when the nuclear charge becomes critical.

Affiliated with

Also associated with

No associations

Rating

Bound States at Threshold in Systems with Coulomb Repulsion 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 Bound States at Threshold in Systems with Coulomb Repulsion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bound States at Threshold in Systems with Coulomb Repulsion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-23710