Preprints, Working Papers, ... Year : 2024

A GAUSSIAN BEAM CONSTRUCTION OF DE HAAS-VAN ALFVEN RESONANCES

Mouez Dimassi
  • Function : Author
Laboratoire Analyse, Géométrie et Applications
Jean-Claude Guillot
  • Function : Author
  • PersonId : 1420666
Aix Marseille Université
James Ralston
  • Function : Author
  • PersonId : 1420667

Abstract

In this article we consider a Bloch electron in a crystal lattice subject to slowy varying external magnetic fields. We offer an explanation of de Haas-van Alfven oscillations in terms of energy levels of approximate eigenfunctions for the magnetic Schrödinger operator by using a gaussian beam construction for a small enough magnetic field.

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Mathematics [math]
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https://hal.science/hal-04716680

Submitted on : Tuesday, November 26, 2024-4:45:17 PM

Last modification on : Thursday, December 5, 2024-3:24:57 AM

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Dates and versions

hal-04716680 , version 1 (01-10-2024)
hal-04716680 , version 2 (26-11-2024)

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  • HAL Id : hal-04716680 , version 2

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Mouez Dimassi, Jean-Claude Guillot, James Ralston. A GAUSSIAN BEAM CONSTRUCTION OF DE HAAS-VAN ALFVEN RESONANCES. 2024. ⟨hal-04716680v2⟩

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