数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (2): 285-293.doi: 10.1016/S0252-9602(09)60029-1

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SEMICLASSICAL LIMIT FOR BIPOLAR QUANTUM DRIFT-DIFFUSION MODEL

琚强昌|陈丽   

  1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • 收稿日期:2006-08-30 修回日期:2006-12-21 出版日期:2009-03-20 发布日期:2009-03-20
  • 基金资助:

    Supported by NSFC (10541001, 10571101, 10401019, and 10701011), and by Basic Research Foundation of Tsinghua University

SEMICLASSICAL LIMIT FOR BIPOLAR QUANTUM DRIFT-DIFFUSION MODEL

Ju Qiangchang, Chen Li   

  1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2006-08-30 Revised:2006-12-21 Online:2009-03-20 Published:2009-03-20
  • Supported by:

    Supported by NSFC (10541001, 10571101, 10401019, and 10701011), and by Basic Research Foundation of Tsinghua University

摘要:

Semiclassical limit to the solution of transient bipolar quantum drift-diffusion model in semiconductor simulation is discussed. It is proved that the semiclassical limit of this solution satisfies the classical bipolar drift-diffusion model. In addition, the authors also prove the existence of weak solution.

关键词: Quantum drift-diffusion, weak solution, semiclassical limit, bipolar

Abstract:

Semiclassical limit to the solution of transient bipolar quantum drift-diffusion model in semiconductor simulation is discussed. It is proved that the semiclassical limit of this solution satisfies the classical bipolar drift-diffusion model. In addition, the authors also prove the existence of weak solution.

Key words: Quantum drift-diffusion, weak solution, semiclassical limit, bipolar

中图分类号: 

  • 35K35