The Gel’fand–Levitan equation on a finite interval

DOI10.1063/1.525967zbMath0523.35082OpenAlexW2082916770MaRDI QIDQ3035988

H. E. Moses, Reese T. Prosser

Publication date: 1983

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525967

zbMATH Keywords

Schrödinger equationfinite intervalGel'fand-Levitan equationdeletion of an eigenvalueinsertion of a continuous spectruminsertion of an eigenvaluerenormalization of a finite number of eigenfunctions

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• On the determination of a differential equation from its spectral function
• Gel’fand–Levitan equations with comparison measures and comparison potentials
• ASSOCIATED STURM-LIOUVILLE SYSTEMS

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