Asymptotic behavior of the energy levels of a quantum particle in a homogeneous magnetic field, perturbed by a decreasing electric field. I

DOI10.1007/BF01104868zbMath0643.35028OpenAlexW2004562706MaRDI QIDQ1101881

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01104868

zbMATH Keywords

potential Schrödinger operator homogeneous magnetic field bound states principal term quantum particle decreasing electric field power type asymptotics

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (12)

Asymptotics of heavy atoms in high magnetic fields. II: Semiclassical regions ⋮ A simple criterion for the existence of nonreal eigenvalues for a class of 2D and 3D Pauli operators ⋮ The quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a strong homogeneous magnetic field ⋮ Precise spectral asymptotics for perturbed magnetic Schrödinger operator ⋮ Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains ⋮ Asymptotic distribution of eigenvalues for Pauli operators with nonconstant magnetic fields ⋮ Semiclassical eigenvalue estimates for the Pauli operator with strong nonhomogeneous magnetic fields. I: Nonasymptotic Lieb-Thirring-type estimate. ⋮ Lieb-Thirring type inequalities for non-self-adjoint perturbations of magnetic Schrödinger operators ⋮ Eigenvalue asymptotics for the södinger operator ⋮ Asymptotic distribution of negative eigenvalues for two dimensional Pauli operators with nonconstant magnetic fields ⋮ Eigenvalue asymptotics for the schrodinger operator in strong constant magnetic fields ⋮ Spectral asymptotics for magnetic Schrödinger operators with rapidly decreasing electric potentials.

Cites Work

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