Bargmann- and Calogero-type bounds for the Dirac equation

DOI10.1063/1.530914zbMath0842.34089OpenAlexW2086875940MaRDI QIDQ4873346

André Martin, Joachim Stubbe

Publication date: 28 July 1996

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

Full work available at URL: https://doi.org/10.1063/1.530914

zbMATH Keywords

Dirac equationbounds on the number of bound statesspherically symmetric vector potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Cites Work

• Generalization of Sturm-Liouville theory to a system of ordinary differential equations with Dirac type spectrum
• The Calogero bound for nonzero angular momentum
• On the Number of Negative Eigen-Values of a Singular Boundary value Problem
• On the Number of Bound States in a Central Field of Force

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