On the calculation of energy eigenstates of electrons in a spherical quantum dot

Pranati Purohit; Dilip Kumar Roy; Shankar Prasad Pati

doi:10.1117/12.923801

15 October 2012 On the calculation of energy eigenstates of electrons in a spherical quantum dot

Pranati Purohit, Dilip Kumar Roy, Shankar Prasad Pati

Proceedings Volume 8549, 16th International Workshop on Physics of Semiconductor Devices; 85491J (2012) https://doi.org/10.1117/12.923801
Event: 16th International Workshop on Physics of Semiconductor Devices, 2011, Kanpur, India

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.

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Pranati Purohit, Dilip Kumar Roy, and Shankar Prasad Pati "On the calculation of energy eigenstates of electrons in a spherical quantum dot", Proc. SPIE 8549, 16th International Workshop on Physics of Semiconductor Devices, 85491J (15 October 2012); https://doi.org/10.1117/12.923801

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