Spectral singularities and zero energy bound states

Simple item page
dc.contributor.authorHeiss W.D.
dc.contributor.authorNazmitdinov R.G.
dc.date.accessioned2011-10-13T16:59:27Z
dc.date.available2011-10-13T16:59:27Z
dc.date.issued2011
dc.description.abstractSingle particle scattering around zero energy is re-analysed in view of recent experiments with ultra-cold atoms, nano-structures and nuclei far from the stability valley. For non-zero orbital angular momentum the low energy scattering cross section exhibits dramatic changes depending on the occurrence of either a near resonance or a bound state or the situation in between, that is a bound state at zero energy. Such state is singular in that it has an infinite scattering length, behaves for the eigenvalues but not for the eigenfunctions as an exceptional point and has no pole in the scattering function. These results should be observable whenever the interaction or scattering length can be controlled. © 2011 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
dc.description.versionArticle
dc.identifier.citationEuropean Physical Journal D
dc.identifier.citation63
dc.identifier.citation3
dc.identifier.citationhttp://www.scopus.com/inward/record.url?eid=2-s2.0-80051786836&partnerID=40&md5=45cae1f9cebb7a50a6c3bae30f675a5c
dc.identifier.issn14346060
dc.identifier.other10.1140/epjd/e2011-20174-4
dc.identifier.urihttp://hdl.handle.net/10019.1/17115
dc.titleSpectral singularities and zero energy bound states
dc.typeArticle
Files
Collections
Stellenbosch University - Scopus Publications