Exponential decay in the semi–classical limit for eigenfunctions of schrödinger operators with magnetic fields and potentials which degenerate at infinity

DOI10.1080/03605309108820807zbMath0749.35023OpenAlexW2005404318MaRDI QIDQ3985951

R. G. M. Brummelhuis

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1080/03605309108820807

zbMATH Keywords

decay estimateselectrical potentialmagnetic vector potentialtunnelling effect

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) Electromagnetic theory (general) (78A25)

Related Items (9)

Solitary charged waves interacting with the electrostatic field ⋮ Low-energy spectrum of Toeplitz operators with a miniwell ⋮ Infinitely many solutions for nonlinear Schrödinger equations with electromagnetic fields ⋮ On the \(\bar {\partial{}}\) equation in weighted \(L^ 2\) norms in \(\mathbb{C} ^ 1\) ⋮ Multi-peak solutions for nonlinear Schrödinger systems with magnetic potentials in \(\mathbb R^3\) ⋮ Infinitely many solutions for the nonlinear Schrödinger equations with magnetic potentials in $\mathbb {R}^{N}$RN ⋮ Infinitely many solutions for a nonlinear Schrödinger equation with non-symmetric electromagnetic fields ⋮ Infinitely many solutions for nonlinear Schrödinger systems with magnetic potentials in R3 ⋮ Semiclassical limit for nonlinear Schrödinger equations with electromagnetic fields

Cites Work

• A semi-classical trace formula for Schrödinger operators
• The uncertainty principle
• Multiple wells in the semi-classical limit I

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