Strong electric field eigenvalue asymptotics for the Schrödinger operator with electromagnetic potential

DOI10.1007/BF00414634zbMath0727.35102MaRDI QIDQ803414

N. E. Zubov

Publication date: 1991

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

zbMATH Keywords

eigenvalueselectric potentialmagnetic potentialessential-spectrum

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Trace asymptotics formula for the Schrödinger operators with constant magnetic fields, Unnamed Item, Strong-electric-field eigenvalue asymptotics for the perturbed magnetic Schrödinger operator, Strong-electric-field eigenvalue asymptotics for the Iwatsuka model

Cites Work

• The asymptotic formulas for the number of bound states in the strong coupling limit
• L'asymptotique de Weyl pour les bouteilles magnétiques. (The Weyl asymptotic formula for magnetic bottles)
• Schrödinger operators with magnetic fields. I: General interactions
• Bounds on the eigenvalues of the Laplace and Schroedinger operators