A local trace formula for resonances of perturbed periodic Schrödinger operators.

DOI10.1016/S0022-1236(02)00063-0zbMath1090.35065MaRDI QIDQ1868676

Maher Zerzeri, Mouez Dimassi

Publication date: 28 April 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Scattering theory for PDEs (35P25) Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Perturbations in context of PDEs (35B20)

Related Items (12)

Resonances and spectral shift function near the Landau levels ⋮ Meromorphic continuation of the spectral shift function ⋮ Spectral asymptotics for magnetic Schrödinger operator with slowly varying potential ⋮ A trace formula and application to Stark Hamiltonians with nonconstant magnetic fields ⋮ Spectral shift function and resonances for non-semi-bounded and Stark Hamiltonians. ⋮ Resonances for perturbed periodic Schrödinger operator ⋮ Counting Function of Characteristic Values and Magnetic Resonances ⋮ Microlocal analysis of the bulk-edge correspondence ⋮ Lower bounds for the counting function of resonances for a perturbation of a periodic Schrödinger operator by decreasing potential ⋮ Resonances and spectral shift function for a magnetic Schrödinger operator ⋮ Spectral shift function and resonances for slowly varying perturbations of periodic Schrödinger operators ⋮ Defect Resonances of Truncated Crystal Structures

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