Strong-electric-field eigenvalue asymptotics for the perturbed magnetic Schrödinger operator

DOI10.1007/BF02097399zbMath0782.35049MaRDI QIDQ1308473

Georgi D. Raikov

Publication date: 24 February 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

perturbed Schrödinger operatoressential spectrum of the unperturbed operator

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Perturbation theory of linear operators (47A55) PDEs in connection with quantum mechanics (35Q40)

Related Items

Precise spectral asymptotics for perturbed magnetic Schrödinger operator, The asymptotics for the number of eigenvalue branches for the magnetic Schrödinger operator \(H-\lambda W\) in a gap of \(H\), Trace asymptotics formula for the Schrödinger operators with constant magnetic fields, DÉVELOPPEMENTS ASYMPTOTIQUES DE L'OPÉRATEUR DE SCHRÖDINGER AVEC CHAMP MAGNÉTIQUE FORT, On eigenvalues in gaps for perturbed magnetic Schrödinger operators, Eigenvalue asymptotics for the schrodinger operator in strong constant magnetic fields, Strong-electric-field eigenvalue asymptotics for the Iwatsuka model

Cites Work

• Strong electric field eigenvalue asymptotics for the Schrödinger operator with electromagnetic potential
• L'asymptotique de Weyl pour les bouteilles magnétiques. (The Weyl asymptotic formula for magnetic bottles)
• Eigenvalue branches of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
• Schrödinger operators with magnetic fields. I: General interactions
• Eigenvalue asymptotics for the södinger operator
• On the asymptotic distribution of the eigenvalue branches of the Schrödinger operator HW in a spectral gap of H.
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