Optimal eigenvalues for some Laplacians and Schrödinger operators depending on curvature

Details Optimal eigenvalues for some Laplacians and Schrödinger operators depending on curvature Optimal eigenvalues for some Laplacians and Schrödinger operators depending on curvature

1999-01-27

arxiv.org/abs/math-ph/9901022v1

Physics

Mathematical Physics

Plain TeX, 11 pages; to appear in the Proceedings of QMath7, Birkh\"auser Verlag, Basel 1999

Scientific paper

This article is an expanded version of the plenary talk given by Evans Harrell at QMath98, a meeting in Prague, June 1998. We consider Laplace operators and Schr\"odinger operators with potentials containing curvature on certain regions of nontrivial topology, especially closed curves, annular domains, and shells. Dirichlet boundary conditions are imposed on any boundaries. Under suitable assumptions we prove that the fundamental eigenvalue is maximized when the geometry is round. We also comment on the use of coordinate transformations for these operators and mention some open problems.

Affiliated with

Also associated with

No associations

Rating

Optimal eigenvalues for some Laplacians and Schrödinger operators depending on curvature 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 Optimal eigenvalues for some Laplacians and Schrödinger operators depending on curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimal eigenvalues for some Laplacians and Schrödinger operators depending on curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-251659