中国物理B ›› 2005, Vol. 14 ›› Issue (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

侯春风1, 姜永远1, 阿不都热苏力2   

  1. (1)Department of Physics, Harbin Institute of Technology, Harbin 150001, China; (2)Department of Physics, Xinjiang University, Urumqi 830046, China
  • 收稿日期:2005-04-15 修回日期:2005-05-26 出版日期:2005-10-20 发布日期:2005-10-20

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   

  1. a Department of Physics, Harbin Institute of Technology, Harbin 150001, China; b Department of Physics, Xinjiang University, Urumqi 830046, China
  • Received:2005-04-15 Revised:2005-05-26 Online:2005-10-20 Published:2005-10-20

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摘要： The parabolic cylindrical lens shaped quantum dot is investigated theoretically. The Schrödinger 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.

关键词: quantum dot, artificial atom, energy level, wavefunction

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.

Key words: quantum dot, artificial atom, energy level, wavefunction

中图分类号:  (Quantum dots)

  • 73.21.La
71.15.-m (Methods of electronic structure calculations)