Dense point spectrum for the one-dimensional Dirac operator with an electrostatic potential

DOI10.1017/S0308210500023271zbMath0859.34074MaRDI QIDQ4715347

Karl Michael Schmidt

Publication date: 25 March 1997

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

essential spectrumone-dimensional Dirac operatorelectrostatic potentials

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05)

Related Items (4)

Schnol's theorem and spectral properties of massless Dirac operators with scalar potentials ⋮ Spectral properties of rotationally symmetric massless Dirac operators ⋮ Sharp bound for embedded eigenvalues of Dirac operators with decaying potentials ⋮ The extraordinary spectral properties of radially periodic Schrödinger operators

Cites Work

• Dense point spectra of Schrödinger and Dirac operators
• Spectral theory of ordinary differential operators
• Absolut stetiges Spektrum bei Sturm-Liouville-Operatoren und Dirac-Systemen
• ON THE NATURE OF THE SPECTRUM IN PROBLEMS OF RELATIVISTIC QUANTUM MECHANICS
• ABSOLUTELY CONTINUOUS SPECTRA OF DIRAC SYSTEMS WITH LONG RANGE, SHORT RANGE AND OSCILLATING POTENTIALS
• Dirac Systems with Discrete Spectra
• ABSENCE OF EMBEDDED EIGENVALUES OF THE DIRAC EQUATION FOR LONG RANGE POTENTIALS
• Bounds for the point spectra of separated Dirac operators
• Non-existence of eigenvalues of Dirac operators
• The existence of eigenvalues embedded in the continuous spectrum of ordinary differential operators
• NOTE ON A PAPER BY TITCHMARSH

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