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.
Received: 15 April 2005
Revised: 26 May 2005
Accepted manuscript online:
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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