Estimates for eigenvalues of the Schrödinger operator with a complex potential

Abstract

We study the distribution of eigenvalues of the Schrödinger operator with a complex valued potential $V$. We prove that if $|V|$ decays faster than the Coulomb potential, then all eigenvalues are in a disc of a finite radius.

References in corpus (1)

• Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials

Cited by in corpus (13)

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• Keller-type bounds for Dirac operators perturbed by rigid potentials
• Trace formulas for Schrödinger operators with complex potentials on half-line
• Spectral stability of Schroedinger operators with subordinated complex potentials
• The Generalized Birman-Schwinger Principle
• $L_p$-spectrum and Lieb-Thirring inequalities for Schrödinger operators on the hyperbolic plane
• A sharp bound on eigenvalues of Schroedinger operators on the halfline with complex-valued potentials
• On the distribution of the discrete spectrum of nuclearly perturbed operators in Banach spaces
• A note on eigenvalue bounds for Schrödinger operators
• Absence of eigenvalues of non-selfadjoint Schrödinger operators on the boundary of their numerical range