Oscillator strength for optical transitions in a cylindrical quantum wire with an inverse parabolic confining electric potential

Evaluations of oscillator strength for single electron transitions in a cylindrical quantum wire are carried out. In particular, effect of a potential that varies inversely with square of radial distance on the oscillator strength is investigated. Oscillator strength generally decreases as confining potential increases in strength. For l > 0 transitions, oscillator strengths go through local minima, as strength of inverse parabolic potential increases. These local minima percolate from interaction integral and are due to squashing of electron wave functions as confining potential gets stronger. (author)