Spectral shift function for trapping energies in the semiclassical limit

DOI10.1007/s002200050753zbMath0945.47053OpenAlexW1986981284MaRDI QIDQ1969103

Shu Nakamura

Publication date: 16 March 2000

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

Full work available at URL: https://doi.org/10.1007/s002200050753

zbMATH Keywords

Schrödinger operatorsemiclassical asymptoticsspectral shift functionWeyl asymptoticstrapping energies

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Scattering theory of linear operators (47A40)

Related Items (11)

Bounds on the spectral shift function and the density of states ⋮ Breit–Wigner formula at barrier tops ⋮ Meromorphic continuation of the spectral shift function ⋮ Eigenvalues of the reference operator and semiclassical resonances ⋮ Resonance expansions of propagators in the presence of potential barriers. ⋮ RESONANCES AND SPECTRAL SHIFT FUNCTION FOR THE SEMI-CLASSICAL DIRAC OPERATOR ⋮ The spectrum of the scattering matrix near resonant energies in the semiclassical limit ⋮ Equidistribution of phase shifts in semiclassical potential scattering ⋮ SEMICLASSICAL ANALYSIS FOR SPECTRAL SHIFT FUNCTIONS IN MAGNETIC SCATTERING BY TWO SOLENOIDAL FIELDS ⋮ Applications of resonance theory without analyticity assumption ⋮ Spectral shift function and resonances for slowly varying perturbations of periodic Schrödinger operators

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