Imaginary part of a resonance in barrier penetration

DOI10.1016/0022-247X(82)90239-6zbMath0521.35041MaRDI QIDQ1055620

James S. Howland

Publication date: 1982

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

zbMATH Keywords

asymptotic formularadial Schrödinger equationimaginary part of a resonancequantum mechanical barrier penetration

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Spectral theory and eigenvalue problems for partial differential equations (35P99) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99) Ordinary differential operators (34L99)

Related Items (1)

Resonances in the One Dimensional Stark Effect in the Limit of Small Field

Cites Work

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• Dilation analyticity in constant electric field I. The two body problem
• Dilation analyticity in constant electric field. II: N-body problem, Borel summability
• Unitary equivalence of Stark Hamiltonians
• Spectral and scattering theory of Schrödinger operators related to the Stark effect
• The Livsic matrix in perturbation theory
• Simple poles of operator-valued functions
• Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
• Spectral Concentration and Virtual Poles
• Spectral Concentration and Virtual Poles. II
• Exponential decay in the Stark effect

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