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Quantum collisions in semi-constrainted structures
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.
History
Publication status
- Published
Journal
Modern Physics Letters BISSN
0217-9849Publisher
World Scientific Publishing CompanyExternal DOI
Issue
13Volume
21Page range
767-779Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes