Physics – Quantum Physics
Scientific paper
2011-10-04
Physics
Quantum Physics
11 pages, 19 figures, 3 tables
Scientific paper
The behavior of bound states in asymmetric cross, T and L shaped configurations is considered. Because of the symmetries of the wavefunctions, the analysis can be reduced to the case of an electron localized at the intersection of two orthogonal crossed wires of different width. Numerical calculations show that the fundamental mode of this system remains bound for the widths that we have been able to study directly; moreover, the extrapolation of the results obtained for finite widths suggests that this state remains bound even when the width of one arm becomes infinitesimal. We provide a qualitative argument which explains this behavior and that can be generalized to the lowest energy states in each symmetry class. In the case of odd-odd states of the cross we find that the lowest mode is bounded when the width of the two arms is the same and stays bound up to a critical value of the ratio between the widths; in the case of the even-odd states we find that the lowest mode is unbound up to a critical value of the ratio between the widths. Our qualitative arguments suggest that the bound state survives as the width of the vertical arm becomes infinitesimal.
Amore Paolo
Rodriguez Martin
Terrero-Escalante Cesar A.
No associations
LandOfFree
Bound states in open coupled asymmetrical waveguides and quantum wires does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Bound states in open coupled asymmetrical waveguides and quantum wires, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bound states in open coupled asymmetrical waveguides and quantum wires will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-269904