Local spectral asymptotics for metric perturbations of the Landau Hamiltonian

2014/12/22 by Tomás Lungenstrass, Lungenstrass, Tomás, Georgi Raikov +1
Mathematics · Physics and Astronomy · #35J10 #35P20 #47G30 #81Q10 #FOS: Mathematics #FOS: Physical sciences #Graph theory and applications #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.SP #msc:35J10 #msc:35P20 #msc:47G30 #msc:81Q10

paper · pdf · doi:10.48550/arxiv.1412.6897

30 pages, typos corrected, text format modified

openalex publication_date 2014/12/22 · arxiv created 2015/04/15 · arxiv updated 2015/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider metric perturbations of the Landau Hamiltonian. We investigate the asymptotic behaviour of the discrete spectrum of the perturbed operator near the Landau levels, for perturbations with power-like decay, exponential decay or compact support.

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