Asymptotic Distribution of Eigenvalues for Schrödinger Operators with Magnetic Fields

DOI10.1017/S002776300000074XzbMath0623.35048MaRDI QIDQ3760979

Hideo Tamura

Publication date: 1987

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorvector potentialmagnetic fieldsasymptotic distribution of eigenvaluescompact resolventhigh-energy and semi-classical asymptotics

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Discreteness of Spectrum and Strict Positivity Criteria for Magnetic Schrödinger Operators ⋮ Probability and Quantum Symmetries. II. The Theorem of Nœther in quantum mechanics ⋮ Semiclassical asymptotics of eigenvalue distributions for schrödinger operators with magnetic fields ⋮ Spectral properties of Schrödinger operators with irregular magnetic potentials, for a \(\text{spin }\frac{1}{2}\) particle ⋮ Beyond the classical Weyl and Colin de Verdière's formulas for Schrödinger operators with polynomial magnetic and electric fields ⋮ Dia- and paramagnetism for nonhomogeneous magnetic fields ⋮ Classical and non-classical eigenvalue asymptotics for magnetic Schrödinger operators ⋮ WEYL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS AND DE GENNES' BOUNDARY CONDITION ⋮ Sharp trace asymptotics for a class of \(2D\)-magnetic operators

Cites Work

• On the eigenvalues of a class of hypoelliptic operators. IV
• Nonclassical eigenvalue asymptotics
• Un exemple de champ magnetique dans \(R^{\nu}\)
• Asymptotic behavior of the spectrum of differential equations
• Schrödinger operators with magnetic fields. I: General interactions
• Hypoelliptic second order differential equations
• ASYMPTOTICS OF THE EIGENVALUES OF THE SCHRÖDINGER OPERATOR
• Fonction spectrale et valeurs propres d'une classe d'operateurs non elliptiques