The spectral shift function for planar obstacle scattering at low energy

DOI10.1002/mana.201100317zbMath1312.60095arXiv1111.4377OpenAlexW2117174957MaRDI QIDQ2852454

I. McGillivray

Publication date: 8 October 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4377

zbMATH Keywords

Brownian bridgeobstacle scatteringscattering phaseKrein spectral shift functionpinned Wiener sausageregularised heat-trace

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Brownian motion (60J65) Scattering theory of linear operators (47A40)

Related Items (4)

Threshold singularities of the spectral shift function for geometric perturbations of magnetic Hamiltonians ⋮ Low energy scattering asymptotics for planar obstacles ⋮ The Scattering Phase: Seen at Last ⋮ Heat content and small time asymptotics for Schrödinger operators on \(\mathbb R^d\)

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