On two different kinds of resonances in one-dimensional quantum-mechanical models

DOI10.1007/s10910-016-0699-3zbMath1388.82003arXiv1604.08444OpenAlexW2344874194MaRDI QIDQ1704730

Peng Zhang

Publication date: 13 March 2018

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08444

zbMATH Keywords

resonancesbound statesRayleigh-Ritzcomplex rotationpre-dissociationRiccati-Padé

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Molecular physics (81V55)

Cites Work

• Analytic continuation of Taylor series and the boundary value problems of some nonlinear ordinary differential equations
• Local approximation to the critical parameters of quantum wells
• Bounds on complex eigenvalues and resonances
• Quantization condition for bound and quasibound states
• On the eigenvalues of some non-Hermitian oscillators