Quantum collisions in semi-constrained structures
2007 (English)In: Modern physics letters B, ISSN 0217-9849, Vol. 21, no 13, 767-779 p.Article in journal (Refereed) Published
The problem of a quantum particle moving in a narrow, bent two-dimensional channel is used to illustrate features of collisions in systems with semi-constrained structures. The collision theory of such systems is developed and, under certain general restrictions on the geometry, the following properties are rigorously established: (1) The (localized) Moller wave operator exist and the S operator is unitary in the scattering channels. (2) The singular spectrum is discrete in intervals away from the continuum thresholds. The discussion is based on a time-dependent approach.
Place, publisher, year, edition, pages
2007. Vol. 21, no 13, 767-779 p.
wave propagation, semi-constrained geometries, collision process
IdentifiersURN: urn:nbn:se:uu:diva-113045DOI: 10.1142/S0217984907013213ISI: 000251890000001OAI: oai:DiVA.org:uu-113045DiVA: diva2:289738