Schrödinger operators with complex-valued potentials and no resonances
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Publication:2496930
DOI10.1215/S0012-7094-06-13324-0zbMath1107.35094arXivmath-ph/0408052MaRDI QIDQ2496930
Publication date: 25 July 2006
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0408052
Scattering theory for PDEs (35P25) Applications of operator theory in the physical sciences (47N50) Schrödinger operator, Schrödinger equation (35J10) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)
Related Items (15)
Several complex variables and the distribution of resonances in potential scattering ⋮ Scattering resonances for highly oscillatory potentials ⋮ Schrödinger operators with complex sparse potentials ⋮ Heat traces and existence of scattering resonances for bounded potentials ⋮ Fractal upper bounds on the density of semiclassical resonances ⋮ Resonant rigidity for Schrödinger operators in even dimensions ⋮ Bound States for Rapidly Oscillatory Schrödinger Operators in Dimension 2 ⋮ Asymptotic number of scattering resonances for generic Schrödinger operators ⋮ Mathematical study of scattering resonances ⋮ Time-decay of semigroups generated by dissipative Schrödinger operators ⋮ Distribution of scattering resonances for generic Schrödinger operators ⋮ Lower bounds for resonance counting functions for Schrödinger operators with fixed sign potentials in even dimensions ⋮ Compactness of iso-resonant potentials for Schrödinger operators in dimensions one and three ⋮ On the trace of Schrödinger heat kernels and regularity of potentials ⋮ Inverse phaseless scattering on the line with partial information
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