Symmetry of Bound and Antibound States in the Semiclassical Limit for a General Class of Potentials

Details Symmetry of Bound and Antibound States in the Semiclassical Limit for a General Class of Potentials Symmetry of Bound and Antibound States in the Semiclassical Limit for a General Class of Potentials

2009-11-22

arxiv.org/abs/0911.4282v1

Proceedings of the American Mathematical Society 138 (2010), no. 9, 3203-3210

Mathematics

Analysis of PDEs

10 pages, 1 figure

Scientific paper

10.1090/S0002-9939-2010-10519-1

We consider the semiclassical Schr\"odinger operator $-h^2\partial_x^2+V(x)$
on a half-line, where $V$ is a compactly supported potential which is positive
near the endpoint of its support. We prove that the eigenvalues and the purely
imaginary resonances are symmetric up to an error $Ce^{-\delta/h}$.

Affiliated with

Also associated with

No associations

Rating

Symmetry of Bound and Antibound States in the Semiclassical Limit for a General Class of 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 Symmetry of Bound and Antibound States in the Semiclassical Limit for a General Class of Potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetry of Bound and Antibound States in the Semiclassical Limit for a General Class of Potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-172679