Resonances—lost and found

DOI10.1088/1751-8121/AA86F3zbMath1376.81024arXiv1703.03172OpenAlexW2602697219MaRDI QIDQ4589373

Richard Froese, Ira W. Herbst

Publication date: 10 November 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.03172

zbMATH Keywords

Schrödinger operatorpotentials with widely separated bumpsresonance asymptotics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Resonance in context of PDEs (35B34) Resonance phenomena for ordinary differential equations involving randomness (34F15)

Related Items (1)

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

Cites Work

• Propagation estimates for \(N\)-body Schrödinger operators
• On the Lambert \(w\) function
• Direct and inverse spectral theory of one-dimensional Schrödinger operators with measures
• Quantum resonances and time decay for a double-barrier model
• Can we trust the relationship between resonance poles and lifetimes?

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