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Proceedings Paper

On the calculation of energy eigenstates of electrons in a spherical quantum dot
Author(s): Pranati Purohit; Dilip Kumar Roy; Shankar Prasad Pati
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Paper Abstract

The fundamental problem in the investigation of the properties of a quantum dot is the calculation of the energy eigen values of its confined charge carriers and evaluation of their corresponding wave functions. The quantum dots may be approximated as spheres whose surfaces constitute infinite potential barriers for carriers. Consequently, the motion of electrons and holes (which are confined inside the dot) can be analyzed by effective mass approximation applied to noninteracting particles. An attempt has been made here to solve the Schrödinger’s equation for particles inside the infinite spherical potential well to determine their allowed energy eigen values and eigen functions.

Paper Details

Date Published: 15 October 2012
PDF: 6 pages
Proc. SPIE 8549, 16th International Workshop on Physics of Semiconductor Devices, 85491J (15 October 2012); doi: 10.1117/12.923801
Show Author Affiliations
Pranati Purohit, ITM Univ. (India)
Dilip Kumar Roy, ITM Univ. (India)
Shankar Prasad Pati, Sambalpur Univ. (India)


Published in SPIE Proceedings Vol. 8549:
16th International Workshop on Physics of Semiconductor Devices
Monica Katiyar; B. Mazhari; Y N Mohapatra, Editor(s)

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