Perturbation of resonances in quantum mechanics

DOI10.1016/0022-247X(84)90115-XzbMath0564.35026MaRDI QIDQ1058058

Sergio A. Albeverio, Raphael J. Høegh-Krohn

Publication date: 1984

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

zbMATH Keywords

Schrödinger operatorresonancesPerturbation

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Schrödinger operator, Schrödinger equation (35J10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (11)

On nonlocal point interactions in one, two, and three dimensions ⋮ A unified approach to eigenvalues and resonances of Schrödinger operators using Fredholm determinants ⋮ Unnamed Item ⋮ Nonlinear bang-bang eigenproblems and optimization of resonances in layered cavities ⋮ Generic asymptotics of resonance counting function for Schrödinger point interactions ⋮ Pareto optimization of resonances and minimum-time control ⋮ Estimation of the imaginary part of the scattering matrix pole for the three-dimensional Schrödinger equation with a trap potential ⋮ On the multilevel internal structure of the asymptotic distribution of resonances ⋮ An Improved Stability Result for Resonances ⋮ Asymptotics of Random Resonances Generated by a Point Process of Delta-Interactions ⋮ The short range expansion

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