Research PapersNo Access

QUANTUM COLLISIONS IN SEMI-CONSTRAINED STRUCTURES

M. MELGÅRD

Department of Mathematics, Ångström Laboratory, Uppsala University, P.O. Box 480, SE-751 06 Uppsala, Sweden

https://doi.org/10.1142/S0217984907013213Cited by:0 (Source: Crossref)

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.

Keywords:

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