Perturbation of resonances

DOI10.1016/0022-247X(82)90171-8zbMath0493.35037OpenAlexW2063444812MaRDI QIDQ1168494

Alexander G. Ramm

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-247x(82)90171-8

zbMATH Keywords

Green functionmultiplicity of poles of the resolventperturbations of the potential

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Perturbations in context of PDEs (35B20)

Related Items (4)

A unified approach to eigenvalues and resonances of Schrödinger operators using Fredholm determinants ⋮ Multiple resonances in the semi-classical limit ⋮ Resonances for a semi-classical Schrödinger operator near a non trapping energy level ⋮ SOME RESULTS ON INVERSE SCATTERING

Cites Work

• Mathematical foundations of the singularity and eigenmode expansion methods (SEM and EEM)
• Puiseux series for resonances at an imbedded eigenvalue
• Local distortion technique, resonances, and poles of the S-matrix
• On the absorption of eigenvalues by continuous spectrum in regular perturbation problems
• Nonselfadjoint operators in diffraction and scattering
• A new proof of absence of positive discrete spectrum of the Schrödinger operator
• Two sided estimates of the scattering amplitude for low energy
• A variational principle for resonances
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