Change search
ReferencesLink to record
Permanent link

Direct link
On the scattering theory of the Laplacian with a periodic boundary condition. II. Additional channels of scattering
KTH, Superseded Departments, Mathematics.
2004 (English)In: Documenta Mathematica, ISSN 1431-0643, E-ISSN 1431-0635, Vol. 9, no 1, 57-77 p.Article in journal (Refereed) Published
Abstract [en]

We study spectral and scattering properties of the Laplacian H (σ) = -Δ in L2(ℝ+2) corresponding to the boundary condition ∂u/∂ν + σu = 0 for a wide class of periodic functions σ. For non-negative σ we prove that H(σ) is unitarily equivalent to the Neumann Laplacian H(0). In general, there appear additional channels of scattering which are analyzed in detail.

Place, publisher, year, edition, pages
2004. Vol. 9, no 1, 57-77 p.
Keyword [en]
Periodic operator, Scattering theory, Schrödinger operator, Singular potential
National Category
URN: urn:nbn:se:kth:diva-157264ScopusID: 2-s2.0-18644381473OAI: diva2:771300

QC 20141212

Available from: 2014-12-12 Created: 2014-12-08 Last updated: 2014-12-12Bibliographically approved

Open Access in DiVA

No full text


Search in DiVA

By author/editor
Frank, Rupert L.
By organisation
In the same journal
Documenta Mathematica

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 9 hits
ReferencesLink to record
Permanent link

Direct link