Some upper bounds on the number of resonances for manifolds with infinite cylindrical ends
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Publication:1854634
DOI10.1007/s00023-002-8641-6zbMath1020.58022arXivmath/0201237OpenAlexW2016151433MaRDI QIDQ1854634
Publication date: 13 May 2003
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0201237
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (S)-matrix theory, etc. in quantum theory (81U20) Resonance in context of PDEs (35B34)
Related Items (13)
Asymptotics for a resonance-counting function for potential scattering on cylinders ⋮ Essential spectrum for dissipative Maxwell equations in domains with cylindrical ends ⋮ NON-WEYL RESONANCE ASYMPTOTICS FOR QUANTUM GRAPH WITH THE DIRAC OPERATOR ON EDGES ⋮ Resonances for Schrödinger operators on infinite cylinders and other products ⋮ Quantum graph in a magnetic field and resonance states completeness ⋮ Unnamed Item ⋮ SPECTRAL ANALYSIS AND TIME-DEPENDENT SCATTERING THEORY ON MANIFOLDS WITH ASYMPTOTICALLY CYLINDRICAL ENDS ⋮ Incompleteness of resonance states for quantum ring with two semi-infinite edges ⋮ Completeness of resonance states for quantum graph with two semi-infinite edges ⋮ Scattering at low energies on manifolds with cylindrical ends and stable systoles ⋮ Forward and inverse scattering on manifolds with asymptotically cylindrical ends ⋮ Computation of scattering matrices and their derivatives for waveguides ⋮ Resonances for steplike potentials: Forward and inverse results
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