Trace formulae for the asymptotic density of eigenvalue clusters for the perturbed Landau Hamiltonian

DOI10.1142/9789814618144_0002zbMath1339.81033OpenAlexW2325796751MaRDI QIDQ2813552

Tomás Lungenstrass, Georgi D. Raikov

Publication date: 24 June 2016

Published in: Mathematical Results in Quantum Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789814618144_0002

zbMATH Keywords

radon transformasymptotic density for eigenvalue clustersmean-value transformperturbed Landau Hamiltonian

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Many-body theory; quantum Hall effect (81V70) Pseudodifferential operators (47G30)