Resonances of Schrödinger operators with potentials \(\gamma r^{\beta}\,\exp (-\zeta r^{\alpha})\), \(\zeta >0,\beta >-2\) and \(\alpha >1\)

DOI10.1016/0022-247X(86)90254-4zbMath0611.35014MaRDI QIDQ1087715

Erik Skibsted

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

analyticityresonancesasymptotic densityJost functionpotentialsdistribution of the zerosdilatation-analytic potential

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Schrödinger operator, Schrödinger equation (35J10)

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Cites Work

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• On the analytic behaviour of the eigenvalue of theS-matrix in the complex plane of the energy
• Asymptotic Expansions of the FunctionFk(x)=∫0∞e−uk+xudu