Abstract This paper reports that the mesoscopic inductance and capacitance coupling LC circuit is quantized by means of the canonical quantization method. Using the 'invariant eigen-operator' method, it deduces the energy-level transition rule when the system is disturbed by an external electromagnetic field. At the same time, the quantum fluctuations for the system at finite temperature are examined by virtue of the generalized Hellmann--Feynman theorem.
Received: 28 August 2008
Revised: 18 November 2008
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10574060) and the
Natural Science Foundation of Shandong Province of China (Grant No
Q2007A01).
Cite this article:
Su Jie(苏杰), Wang Ji-Suo(王继锁), Liang Bao-Long(梁宝龙), and Zhang Xiao-Yan(张晓燕) Thermal effect and energy-level transition rule for a mesoscopic LC circuit with inductance--capacitance coupling 2009 Chin. Phys. B 18 2024
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