Quantum collisions in semi-constrainted structures

Melgaard, Michael (2007) Quantum collisions in semi-constrainted structures. Modern Physics Letters B, 21 (13). pp. 767-779. ISSN 0217-9849

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Abstract

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) Møller 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.

Item Type: Article
Keywords: Wave propagation; semi-constrained geometries; collision process
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems
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Depositing User: Michael Melgaard
Date Deposited: 19 Sep 2013 10:45
Last Modified: 19 Sep 2013 10:45
URI: http://sro.sussex.ac.uk/id/eprint/46377
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