Counting eigenvalues using coherent states with an application to Dirac and Schrödinger operators in the semiclassical limit

DOI10.1007/BF02559548zbMath0862.35097WikidataQ59255825 ScholiaQ59255825MaRDI QIDQ1815438

Roger T. Lewis, Jan Philip Solovej, Heinz Siedentop, W. Desmond Evans

Publication date: 12 December 1996

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorDirac operatorcounting functionsemiclassical spectral asymptotics

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for linear operators (47A75) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (5)

Energy of surface states for 3D magnetic Schrödinger operators ⋮ The Berezin and Gårding inequalities ⋮ Accumulation rate of bound states of dipoles generated by point charges in strained graphene ⋮ Weyl asymptotics for perturbed functional difference operators ⋮ The large-Z Behavior of pseudorelativistic atoms

Cites Work

• Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
• On the Schrödinger equation and the eigenvalue problem
• Methods of intermediate problems for eigenvalues. Theory and ramifications
• The Thomas-Fermi theory of atoms, molecules and solids
• Discrete spectrum of the perturbed Dirac operator
• Thomas-fermi and related theories of atoms and molecules
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