Energy levels of a quantum particle on a corrugated tube in a uniform electric field

Abstract

We use the thin-layer method to calculate the energy levels of a quantum particle on a corrugated tube in a uniform electric field. The separation between the energy levels of the bound states can be varied by modifying the shape of the cross-section of the tube and the magnitude of the applied electric field. For a particle on a corrugated tube having the same cross-sectional perimeter as a circular cylinder with a radius of 10 A we show that changing the shape and the magnitude of applied electric field can lead to transitions that can produce electromagnetic radiation from the visible to the infrared.