Schrodinger Operator with Non-Zero Accumulation Points of Complex Eigenvalues

Bögli, Sabine (2017): Schrodinger Operator with Non-Zero Accumulation Points of Complex Eigenvalues. In: Communications in Mathematical Physics, Bd. 352, Nr. 2: S. 629-639

Abstract

We study Schrodinger operators in where is or the half-space , subject to (real) Robin boundary conditions in the latter case. For we construct a non-real potential that decays at infinity so that H has infinitely many non-real eigenvalues accumulating at every point of the essential spectrum . This demonstrates that the Lieb-Thirring inequalities for selfadjoint Schrodinger operators are no longer true in the non-selfadjoint case.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0010-3616
• Sprache: Englisch