On the Absolutely Continuous Spectrum of Dirac Operator

DOI10.1081/PDE-200037758zbMath1072.35137arXivmath-ph/0309033MaRDI QIDQ3157931

Sergey A. Denisov

Publication date: 20 January 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0309033

zbMATH Keywords

absolutely continuous spectrummultidimensional Dirac operator

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Spectrum, resolvent (47A10) PDEs in connection with quantum mechanics (35Q40)

Related Items (12)

On the preservation of absolutely continuous spectrum for Schrödinger operators ⋮ Absolutely continuous spectrum of Schrödinger operators with potentials slowly decaying inside a cone ⋮ Schrödinger operators and associated hyperbolic pencils ⋮ Absolutely continuous spectrum of a typical operator on a cylinder ⋮ Lower bounds on the eigenvalue sums of the Schrödinger operator and the spectral conservation law ⋮ Absolutely continuous spectrum of a typical Schrödinger operator with a slowly decaying potential ⋮ Absolutely continuous spectrum of the Schrödinger operator with a potential representable as a sum of three functions with special properties ⋮ Absolutely continuous spectrum of a Dirac operator in the case of a positive mass ⋮ On eigenvalues of the one-dimensional Dirac operator with oscillatory decreasing potential ⋮ Relations between two parts of the spectrum of a Schrödinger operator and other remarks on the absolute continuity of the spectrum in a typical case ⋮ On the absolutely continuous spectrum of multi-dimensional Schrödinger operators with slowly decaying potentials ⋮ Absolutely continuous spectrum of a one-parameter family of Schrödinger operators

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