Abstract
In this lecture, we discuss spectral properties of Hamiltonians describing the electron motion in a curved quantum wire of a pure semiconductor material. The bound states in a planar strip whose existence has been established recently are analyzed further, and analogous results for a curved tube in three dimensions are presented. When a finite-length quantum wire is attached to a pair of macroscopic electrodes, the natural conjecture is that the bound states turn into resonances; we show that it is true in a simple model of this scattering system.
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© 1990 Birkhäuser Verlag Basel
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Exner, P. (1990). Bound States and Resonances in Quantum Wires. In: Exner, P., Neidhardt, H. (eds) Order,Disorder and Chaos in Quantum Systems. Operator Theory: Advances and Applications, vol 46. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7306-2_7
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DOI: https://doi.org/10.1007/978-3-0348-7306-2_7
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