Absolutely continuous and singular spectral shift functions

zbMath1276.47013arXiv0810.2072MaRDI QIDQ3103760

Nurulla A. Azamov

Publication date: 8 December 2011

Full work available at URL: https://arxiv.org/abs/0810.2072

zbMATH Keywords

scattering matrixspectral shift functionBirman-Krein formulasingular spectral shift functionabsolutely continuous spectral shift functioninfinitesimal scattering matrixinfinitesimal spectral flowPushnitskij \(\mu\)-invariant

Mathematics Subject Classification ID

Quantum scattering theory (81U99) Scattering theory of linear operators (47A40) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (4)

On the imaginary part of coupling resonance points ⋮ Coupling resonances and spectral properties of the product of resolvent and perturbation ⋮ Resonance index and singular \(\mu\)-invariant ⋮ A topological approach to unitary spectral flow via continuous enumeration of eigenvalues

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