General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators

Details General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators

2005-10-28

arxiv.org/abs/math/0510626v1

Mathematics

Analysis of PDEs

Scientific paper

This paper is concerned with {an extension and reinterpretation} of previous results on the variational characterization of eigenvalues in gaps of the essential spectrum of self-adjoint operators. {We state} two general abstract results on the existence of eigenvalues in the gap and a continuation principle. Then, these results are applied to Dirac operators in order to characterize simultaneously eigenvalues corresponding to electronic and positronic bound states.

Affiliated with

Also associated with

No associations

Rating

General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators 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 General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-500624