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Chinese Physics, 2005, Vol. 14(10): 1932-1935    DOI: 10.1088/1009-1963/14/10/003
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Energy levels and states of parabolic cylindrical lens shaped quantum dots

Hou Chun-Feng (侯春风)a, Jiang Yong-Yuan (姜永远)a, Abdurusul (阿不都热苏力)b
a Department of Physics, Harbin Institute of Technology, Harbin 150001, China; b Department of Physics, Xinjiang University, Urumqi 830046, China
Abstract  The parabolic cylindrical lens shaped quantum dot is investigated theoretically. The Schr?dinger equation for an electron confined in this structure is solved in the parabolic cylindrical coordinate system. The wavefunctions for the electron are presented in terms of confluent hypergeometric functions, and the electron energy spectra are also obtained.
Keywords:  quantum dot      artificial atom      energy level      wavefunction  
Received:  15 April 2005      Revised:  26 May 2005      Accepted manuscript online: 
PACS:  73.21.La (Quantum dots)  
  71.15.-m (Methods of electronic structure calculations)  

Cite this article: 

Hou Chun-Feng (侯春风), Jiang Yong-Yuan (姜永远), Abdurusul (阿不都热苏力) Energy levels and states of parabolic cylindrical lens shaped quantum dots 2005 Chinese Physics 14 1932

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