On the location of resonances of exponentially decaying Sturm-Liouville potentials

DOI10.1016/S0377-0427(01)00384-3zbMath1001.34018OpenAlexW1972064173MaRDI QIDQ5957974

Michael S. P. Eastham, B. Malcolm Brown

Publication date: 10 December 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(01)00384-3

zbMATH Keywords

Sturm-Liouville problemBessel equationdecaying potentialJost function

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24)

Related Items

Efficient calculation of spectral density functions for specific classes of singular Sturm-Liouville problems

Cites Work

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• Distribution of poles for scattering on the real line
• Asymptotic distribution of resonances in one dimension
• Analytic continuation and resonance-free regions for Sturm-Liouville potentials with power decay
• Introduction to spectral theory. With applications to Schrödinger operators
• Bounds on scattering poles in one dimension
• Resonances and analytic continuation for exponentially decaying Sturm-Liouville potentials
• The analytic continuation of the resolvent kernel and scattering operator associated with the Schrödinger operator
• A perturbation theory of resonances
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

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