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, Vol. 352, No. 2: pp. 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0010-3616
• Language: English