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Quantum collisions in semi-constrained structures
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2007 (English)In: Modern physics letters B, ISSN 0217-9849, Vol. 21, no 13, 767-779 p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
wave propagation, semi-constrained geometries, collision process
National Category
Physical Sciences
URN: urn:nbn:se:uu:diva-113045DOI: 10.1142/S0217984907013213ISI: 000251890000001OAI: oai:DiVA.org:uu-113045DiVA: diva2:289738
Available from: 2010-01-25 Created: 2010-01-25 Last updated: 2012-05-13

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Melgaard, Michael
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