The string of variable density: further results

DOI10.1016/j.aop.2011.04.016zbMath1275.81040arXiv1010.5004OpenAlexW3100399226MaRDI QIDQ719703

Paolo Amore

Publication date: 11 October 2011

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

Full work available at URL: https://arxiv.org/abs/1010.5004

zbMATH Keywords

collocation methodperturbation theoryHelmholtz equationinhomogeneous string

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (5)

Exact sum rules for inhomogeneous strings ⋮ Isospectral flows for the inhomogeneous string density problem ⋮ \(\mathcal{PT}\)-symmetric strings ⋮ HETEROGENEOUS SYSTEMS IN DIMENSIONS: LOWER SPECTRUM ⋮ A perturbative approach to the spectral zeta functions of strings, drums, and quantum billiards

Cites Work

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• The string of variable density: perturbative and non-perturbative results
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• High frequency asymptotic analysis of a string with rapidly oscillating density
• Isospectral strings
• Improving the accuracy of WKB eigenvalues
• On the eigenvalue ratio for vibrating strings
• Low Frequency Asymptotic Analysis of a String with Rapidly Oscillating Density
• The inverse sturm‐liouville problem
• Spectroscopy of drums and quantum billiards: Perturbative and nonperturbative results
• Variational collocation on finite intervals

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