Lieb-Thirring inequalities for Schr\"odinger operators with complex-valued potentials
Rupert L. Frank, Ari Laptev, Elliott H. Lieb, Robert Seiringer
TL;DR
This paper establishes inequalities for the eigenvalues of Schr"odinger operators with complex potentials, focusing on power sums of their real parts and magnitudes, advancing spectral analysis techniques.
Contribution
It introduces new inequalities relating eigenvalues of Schr"odinger operators with complex potentials, extending classical spectral bounds.
Findings
Derived inequalities for eigenvalue sums involving real parts and magnitudes
Extended Lieb-Thirring inequalities to complex-valued potentials
Provided bounds applicable to non-self-adjoint Schr"odinger operators
Abstract
Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schr\"odinger operator with a complex-valued potential.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.