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Pré-Publication, Document De Travail Année : 2023

Determining an Iwatsuka Hamiltonian through quantum velocity measurement

Résumé

We investigate the inverse problem of retrieving the magnetic potential of an Iwatsuka Hamiltonian by knowledge of the second component of the quantum velocity. We show that knowledge of the quantum currents carried by a suitable set of states with energy concentration within the first spectral band of the Schrödinger operator, uniquely determines the magnetic field.

Dates et versions

hal-04100309 , version 1 (17-05-2023)

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Mourad Choulli, Nour Kerraoui, Eric Soccorsi. Determining an Iwatsuka Hamiltonian through quantum velocity measurement. 2023. ⟨hal-04100309⟩
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