Eigenvalue estimates for Schrödinger operators with complex potentials
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Publication:1048133
DOI10.1007/s00220-009-0883-4zbMath1185.35045OpenAlexW1968760353MaRDI QIDQ1048133
Publication date: 11 January 2010
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10044/1/31333
Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the discrete spectrum of non-selfadjoint operators
- Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
- Weak type estimates for singular values and the number of bound states of Schrödinger operators
- Schrödinger operators with slowly decaying potentials
- Bounds on complex eigenvalues and resonances
- Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation
- Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
