Numerical computation and analysis of the Titchmarsh-Weyl \(m_\alpha(\lambda)\) function for some simple potentials

DOI10.1016/S0377-0427(99)00061-8zbMath0937.65022OpenAlexW2020811489MaRDI QIDQ1301797

M. R. M. Witwit, John P. Killingbeck, Neil A. Gordon

Publication date: 17 May 2000

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(99)00061-8

zbMATH Keywords

numerical resultsWeyl sumsTitchmarsh-Weyl functionspecial function calculation

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Other functions coming from differential, difference and integral equations (33E30) Weyl sums (11L15)

Cites Work

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• Stable forward shooting for eigenvalues and expectation values
• A numerical method for the determination of the Titchmarsh-Weyl m -coefficient
• Safe numerical bounds for the Titchmarsh–Weyl m(λ)-function
• Repeated diagonalization and the numerical computation of the Titchmarsh-Weyl m (λ)-function

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