Resonances and analytic continuation for exponentially decaying Sturm-Liouville potentials

DOI10.1016/S0377-0427(99)00324-6zbMath0979.34018MaRDI QIDQ1975680

Yanyan Li

Publication date: 15 July 2001

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

zbMATH Keywords

resolventGreen's functionKodaira formulapoles of analytic continuationsuper-exponentially decaying potentialsWeyl-Titchmarsh spectral theory

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items

Remarks on the inverse problem for an energy-dependent hamiltonian ⋮ Computing scattering resonances ⋮ Unnamed Item ⋮ On the location of resonances of exponentially decaying Sturm-Liouville potentials ⋮ On a computer assisted proof of the existence of eigenvalues below the essential spectrum of the Sturm-Liouville problem ⋮ Analytic continuation and resonance-free regions for Sturm-Liouville potentials with power decay

Cites Work

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