Gaussian decay for the eigenfunctions of a schrödinger operator with magnetic field constant at infinity

DOI10.1080/03605309808821344zbMath0898.34077OpenAlexW2066289474MaRDI QIDQ4386023

Vania Sordoni

Publication date: 15 October 1998

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309808821344

zbMATH Keywords

Schrödinger operator with magnetic fieldeigenfunction's decay

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Electro- and magnetostatics (78A30)

Related Items

On Gevrey singularities of microhyperbolic operators ⋮ Localization of two-dimensional massless Dirac fermions in a magnetic quantum dot ⋮ Regularity and decay of solutions of nonlinear harmonic oscillators ⋮ Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients ⋮ Magnetic bottles in connection with superconductivity ⋮ Exponential estimates and holomorphic extensions for semilinear elliptic pseudodifferential equations