Gaussian decay of the magnetic eigenfunctions

DOI10.1007/BF02247886zbMath0863.35089OpenAlexW2098661948MaRDI QIDQ1919135

László Erdős

Publication date: 3 June 1997

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58225

zbMATH Keywords

Feynman-Kac formulaGaussian decaydecay of the eigenfunctions of a magnetic Schrödinger operator

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (8)

Tight-binding reduction and topological equivalence in strong magnetic fields ⋮ Eigenvalue bound for Schrödinger operators with unbounded magnetic field ⋮ Localization of two-dimensional massless Dirac fermions in a magnetic quantum dot ⋮ A Lieb–Thirring type inequality for magnetic Schrödinger operators with a radial symmetry ⋮ On the asymptotic dynamics of 2-D magnetic quantum systems ⋮ Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field ⋮ Sharp Hardy uncertainty principle and gaussian profiles of covariant Schrödinger evolutions ⋮ Lower Bound on Quantum Tunneling for Strong Magnetic Fields

Cites Work

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• Probabilistic solution of Pauli type equations
• CONTINUITY PROPERTIES OF SCHRÖDINGER SEMIGROUPS WITH MAGNETIC FIELDS

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