Absence of embedded eigenvalues for translationally invariant magnetic Laplacians

Abstract : Translationnally invariant bidimensional magnetic Laplacians are considered. Using an improved version of the harmonic approximation, we establish the absence of point spectrum under various assumptions on the behavior of the magnetic field.
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https://hal.archives-ouvertes.fr/hal-02058665
Contributor : Julien Royer <>
Submitted on : Wednesday, March 6, 2019 - 9:30:41 AM
Last modification on : Friday, May 10, 2019 - 12:14:02 PM
Long-term archiving on : Friday, June 7, 2019 - 2:35:44 PM

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  • HAL Id : hal-02058665, version 1
  • ARXIV : 1903.02754

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Nicolas Raymond, Julien Royer. Absence of embedded eigenvalues for translationally invariant magnetic Laplacians. 2019. ⟨hal-02058665v1⟩

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