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FIZIKA A 15 (2006) 4 , 209-218
 
EXACT SOLUTION OF FINITE PARABOLIC POTENTIAL DISC-LIKE QUANTUM DOT WITH AND
WITHOUT ELECTRIC FIELD
H. H. HASSANIEN, S. S. ABDELMOLY and N. ELMESHAD
Theoretical Physics Department, National Research Center, Cairo, Egypt
Received 26 June 2005 Accepted 14 March 2006
Online 23 February 2007
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
- i G/2,
due to the electric field, we calculate the resonance width
G 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.
PACS numbers: 85.30.Vw, 61.72.Ji
UDC 538.915
Keywords: quantum dot, finite parabolic potential, uniform applied electric
field, complex eigenenergy, resonance width, electron and the hole states
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