Original scientific paper
Exact solution of finite parabolic potential disc-like quantum dot with and without electric field
H. H. Hassanien
; Theoretical Physics Department, National Research Center, Cairo, Egypt
S. S. Abdelmoly
; Theoretical Physics Department, National Research Center, Cairo, Egypt
N. ElMeshad
; Theoretical Physics Department, National Research Center, Cairo, Egypt
Abstract
The exact series solutions of finite parabolic potential disc-like quantum dot are given in the absence and presence of uniform applied electric field. We define some normalized parameters. From the complex eigenenergy E = E0 − iΓ/2, due to the electric field, we calculate the resonance width Γ of a bounded state. The ground and the first excited state of the electron and the hole are obtained with and without the electric field. The corresponding envelope functions are presented as a function of the disc dimensionality, radius R and half-width L.
Keywords
quantum dot; finite parabolic potential; uniform applied electric field; complex eigenenergy; resonance width; electron and the hole states
Hrčak ID:
302134
URI
Publication date:
1.10.2006.
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