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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

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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.

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