RESONANCES AND SPECTRAL SHIFT FUNCTION FOR THE SEMI-CLASSICAL DIRAC OPERATOR

DOI10.1142/S0129055X0700319XzbMath1144.35339arXivmath/0610622MaRDI QIDQ5386932

Abdallah Khochman

Publication date: 14 May 2008

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

Full work available at URL: https://arxiv.org/abs/math/0610622

zbMATH Keywords

trace formulaWeyl-type asymptoticsBreit-Wigner approximation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General topics in linear spectral theory for PDEs (35P05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Resonance in context of PDEs (35B34)

Related Items (5)

Counting Function of Magnetic Eigenvalues for Non-definite Sign Perturbations ⋮ Complex Absorbing Potential Method for the Perturbed Dirac Operator ⋮ SEMICLASSICAL ANALYSIS FOR SPECTRAL SHIFT FUNCTIONS IN MAGNETIC SCATTERING BY TWO SOLENOIDAL FIELDS ⋮ Resonances and spectral shift function for a magnetic Schrödinger operator ⋮ Semi-Classical Green Kernel Asymptotics for the Dirac Operator

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