Eigenvalue bounds for Schrödinger operators with complex potentials on compact manifolds
We prove eigenvalue bounds for Schrödinger operator −∆g + V on compact manifolds with complex potentials V . The bounds depend only on an Lq -norm of the potential, and they are shown to be optimal, in a certain sense, on the round sphere and more general Zoll manifolds. These bounds are natural ana...
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| Format: | Default Article |
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2025
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| Online Access: | https://hdl.handle.net/2134/29626964.v1 |
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