Meromorphic continuation of the spectral shift function

DOI10.1215/S0012-7094-03-11631-2zbMath1033.35081MaRDI QIDQ1395917

Vincent Bruneau, Vesselin Petkov

Publication date: 29 June 2003

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

meromorphic continuationWeyl-type asymptoticsBreit-Wigner approximation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Resonance in context of PDEs (35B34)

Related Items (13)

Resonances and spectral shift function near the Landau levels ⋮ Spectral asymptotics for the Schrödinger operator with a non-decaying potential ⋮ Breit–Wigner formula at barrier tops ⋮ Scattering phase asymptotics with fractal remainders ⋮ Fractal upper bounds on the density of semiclassical resonances ⋮ On the imaginary part of coupling resonance points ⋮ Eigenvalues of the reference operator and semiclassical resonances ⋮ Spectral shift function and resonances for non-semi-bounded and Stark Hamiltonians. ⋮ Resonance expansions of propagators in the presence of potential barriers. ⋮ Applications of resonance theory without analyticity assumption ⋮ Resonances and spectral shift function for a magnetic Schrödinger operator ⋮ Spectral shift function and resonances for slowly varying perturbations of periodic Schrödinger operators ⋮ A local trace formula for resonances of perturbed periodic Schrödinger operators.

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