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

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Abstract

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.

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Acknowledgments

Author expresses gratitude to Mr. A. A. Chibozha for the invaluable discussions.

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Authors and Affiliations

  1. Department of Physics, University of Botswana, Corner of Notwane and Mobuto Road, P/Bag 00704, Gaborone, Botswana

    M. Tshipa

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  1. M. Tshipa
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Tshipa, M. Oscillator strength for optical transitions in a cylindrical quantum wire with an inverse parabolic confining electric potential. Indian J Phys 88, 849–853 (2014). https://doi.org/10.1007/s12648-014-0501-y

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  • DOI: https://doi.org/10.1007/s12648-014-0501-y

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