Adiabatic evolution generated by a Schrödinger operator with discrete and continuous spectra

DOI10.1007/S10688-016-0132-5zbMath1342.35084OpenAlexW2318167448MaRDI QIDQ302474

F. Blanchet-Sadri, M. Dambrine

Publication date: 8 July 2016

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-016-0132-5

zbMATH Keywords

Schrödinger operatordiscrete spectrumabsolutely continuous spectrumadiabatic evolution

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Searchlight asymptotics for high-frequency scattering by boundary inflection ⋮ On the delocalization of a quantum particle under the adiabatic evolution generated by a one-dimensional Schrödinger operator ⋮ On adiabatic normal modes in a wedge-shaped sea

Cites Work

• Adiabatic theorem without a gap condition
• Guided mode disappearance during upslope propagation in variable depth shallow water overlying a fluid bottom

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