Journal of Hebei University(Natural Science Edition) >

2009 , Vol. 29 >Issue 6: 587 - 590

DOI: https://doi.org/10.3969/j.issn.1000-1565.2009.06.008

Quantum Effect in the Mesoscopic RLC Circuits

  • DING Zhen-jun ,
  • MA Jin-ying ,
  • YAN Zhan-yuan ,
  • GU Lian-zhong
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Online published: 2009-11-25

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Abstract

Based on the fundamental fact that the electric charge takes discrete value, the Schrdinger finite-differenced equation of the mesoscopic RLC circuit with a source is achieved. With a unitary transformation, the Schrdinger equation becomes the standard Mathieu equation. Using method of series expansion, the energy spectrum and the wave functions of the system are obtained.

Key words： mesoscopic circuit; Mathieu equation; quantum fluctuation

Cite this article

DING Zhen-jun , MA Jin-ying , YAN Zhan-yuan , GU Lian-zhong . Quantum Effect in the Mesoscopic RLC Circuits[J]. Journal of Hebei University(Natural Science Edition), 2009 , 29(6) : 587 -590 . DOI: 10.3969/j.issn.1000-1565.2009.06.008

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