The mathematical theory of resonances whose widths are exponentially small

DOI10.1215/S0012-7094-80-04750-XzbMath0455.35091OpenAlexW1543016276MaRDI QIDQ1150096

Evans M. II. Harrell, Barry Simon

Publication date: 1980

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-80-04750-x

zbMATH Keywords

resonanceanharmonic oscillatorOppenheimer formulaBender-Wu formulamathematical theory of resonancesshort-range casestark effectTitchmarsh problem

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Partial differential equations of mathematical physics and other areas of application (35Q99) Ordinary differential equations in the complex domain (34M99) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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