Bound quantum states in crossed-wire systems

Vireshwar V. Paranjape

doi:10.1117/12.20754

1 October 1990 Bound quantum states in crossed-wire systems

Vireshwar V. Paranjape

Proceedings Volume 1283, Quantum Well and Superlattice Physics III; (1990) https://doi.org/10.1117/12.20754
Event: Advances in Semiconductors and Superconductors: Physics Toward Devices Applications, 1990, San Diego, CA, United States

Abstract

We have computed the bound state energies of an electron which is trapped at the intersection of a cross formed by two quantum wires. The widths of the wires forming the cross are assumed to vary independently. When the widths are equal, a bound state exists and the binding energy corresponds to the value obtained recently by Schult, Ravenhall and Wyld. When the ratio of the two widths is varied the binding energy changes. The variation of the energy with the ratio of the widths is obtained and shown graphically. A similar study is also completed for YTT? and "LT' shaped geometries. It is shown that a nondegenerate bound state of the electron exists for a range of values of the ratio of the two widths; outside the range the state becomes degeneiate with the energy continuum.

Citation Download Citation

Vireshwar V. Paranjape "Bound quantum states in crossed-wire systems", Proc. SPIE 1283, Quantum Well and Superlattice Physics III, (1 October 1990); https://doi.org/10.1117/12.20754

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