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Título del libro: A Trace Formula For Eigenvalue Clusters Of The Perturbed Landau Hamiltonian

Autores UNAM:
CARLOS VILLEGAS BLAS;
Autores externos:

Idioma:
Inglés
Año de publicación:
2013
Palabras clave:

Anti-Wick quantization; Asymptotic density for eigenvalue clusters; Perturbed Landau Hamiltonian


Resumen:

We consider the Landau Hamiltonian perturbed by an electric potential V which decays sufficiently fast at infinity. The spectrum of the perturbed Hamiltonian consists of clusters of eigenvalues which accumulate to the Landau levels. Applying a suitable version of the anti-Wick quantization, we investigate the asymptotic distribution of the eigenvalues within a given cluster as the number of the cluster tends to infinity. We obtain an explicit description of the asymptotic density of the eigenvalues in terms of the Radon transform of V. © 2014 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.


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