Classical and non-classical eigenvalue asymptotics for magnetic Schrödinger operators

DOI10.1016/0022-1236(91)90039-8zbMath0737.35048OpenAlexW2019942988MaRDI QIDQ1174989

Hiroyuki Matsumoto

Publication date: 25 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(91)90039-8

zbMATH Keywords

Schrödinger operatorsmagnetic fieldspotentialsleading term of the asymptotic distribution of eigenvalues

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40)

Related Items (7)

Magnetic Lieb-Thirring inequalities ⋮ Semiclassical asymptotics of eigenvalue distributions for schrödinger operators with magnetic fields ⋮ Wave equation for operators with discrete spectrum and irregular propagation speed ⋮ Spectral asymptotics for generalized Schrödinger operators ⋮ Dia- and paramagnetism for nonhomogeneous magnetic fields ⋮ Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field ⋮ Eigenvalue asymptotics and exponential decay of eigenfunctions for Schrödinger operators with magnetic fields

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