- journal article metadata
European Mathematical Society Publishing House
2017-10-01 23:40:01
Journal of Spectral Theory
J. Spectr. Theory
JST
1664-039X
1664-0403
Quantum theory
10.4171/JST
http://www.ems-ph.org/doi/10.4171/JST
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
7
2017
3
Eigenvalue bounds for Schrödinger operators with complex potentials. II
Rupert
Frank
Caltech, Pasadena, USA and University of Munich, Germany
Barry
Simon
Caltech, Pasadena, USA
Schrödinger operator, complex-valued potential, eigenvalue bounds, embedded eigenvalue
Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrödinger operator $-\Delta+V$ in $L^2(\mathbb R^\nu)$ with complex potential has absolute value at most a constant times $\|V\|_{\gamma+\nu/2}^{(\gamma+\nu/2)/\gamma}$ for $0
Partial differential equations
Functional analysis
Quantum theory
633
658
10.4171/JST/173
http://www.ems-ph.org/doi/10.4171/JST/173