Gaussian decay estimates for the eigenfunctions of magnetic schrödinger operators

DOI10.1080/03605309608821214zbMath0855.35093OpenAlexW2063221006MaRDI QIDQ4887939

Shu Nakamura

Publication date: 23 July 1996

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

Full work available at URL: https://doi.org/10.1080/03605309608821214

zbMATH Keywords

Agmon estimatesphase space tunnelingGaussian decay at infinity

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

Related Items (10)

Magnetic WKB constructions ⋮ Tight-binding reduction and topological equivalence in strong magnetic fields ⋮ Wave equation for operators with discrete spectrum and irregular propagation speed ⋮ Localization of two-dimensional massless Dirac fermions in a magnetic quantum dot ⋮ Regularity and decay of solutions of nonlinear harmonic oscillators ⋮ On the asymptotic dynamics of 2-D magnetic quantum systems ⋮ Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field ⋮ Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients ⋮ Exponential estimates and holomorphic extensions for semilinear elliptic pseudodifferential equations ⋮ Lower Bound on Quantum Tunneling for Strong Magnetic Fields

Cites Work

• Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
• A class of analytic perturbations for one-body Schrödinger Hamiltonians
• Estimates on Complex Interactions in Phase Space
• ON MARTINEZ’ METHOD OF PHASE SPACE TUNNELING
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