Eigenvalue bounds for Schrödinger operators with complex potentials

Details Eigenvalue bounds for Schrödinger operators with complex potentials Eigenvalue bounds for Schrödinger operators with complex potentials

2010-05-17

arxiv.org/abs/1005.2785v1

Mathematics

Spectral Theory

7 pages

Scientific paper

We show that the absolute values of non-positive eigenvalues of Schr\"odinger
operators with complex potentials can be bounded in terms of L_p-norms of the
potential. This extends an inequality of Abramov, Aslanyan, and Davies to
higher dimensions and proves a conjecture by Laptev and Safronov. Our main
ingredient are the uniform Sobolev inequalities of Kenig, Ruiz, and Sogge.

Affiliated with

Also associated with

No associations

Rating

Eigenvalue bounds for Schrödinger operators with complex potentials 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 Eigenvalue bounds for Schrödinger operators with complex potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Eigenvalue bounds for Schrödinger operators with complex potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-297537