| 量子统计力学与有源介观RLC电路中的量子涨落 |
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| 引用本文： | 李金鑫,方明.量子统计力学与有源介观RLC电路中的量子涨落[J].沧州师专学报,2012(3):56-58,125. |
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| 作者姓名： | 李金鑫 方明 |
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| 作者单位： | 沧州师范学院物理与电子信息系,河北沧州061001 |
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| 摘 要： | 在电荷分立取值的客观事实基础上，利用介观电路的全量子理论，对含源介观RLC电路进行了量子化，得到了系统的有限差分薛定谔方程．在表象中，通过变换，薛定谔方程的形式变为标准的马丢方程．在WKBJ近似下，得到了源介观RLC电路的能级分布，进而计算了p和p^2在基态中的平均值．利用量子统计力学解决了有源介观RLC电路的量子涨落问题．
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| 关 键 词： | 介观电路 量子化 正则变换 幺正变换 |
Quantum Statistical Mechanics and Quantum Fluctuations with a Power Source in a Mesoscopic RLC Circuit |
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| LI Jin-xin,FANG Ming.Quantum Statistical Mechanics and Quantum Fluctuations with a Power Source in a Mesoscopic RLC Circuit[J].Journal of Cangzhou Teachers‘College,2012(3):56-58,125. |
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| Authors: | LI Jin-xin FANG Ming |
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| Institution: | (Department of Physics and Electronic Information, Cangzhou Normal University, Cangzhou, Hebei 061001, China) |
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| Abstract: | According to the charge discrete values, mesoscopic RLC circuit with a power source has been quantized based on the full quantum theory of the mesoscopic circuit. Thus, a systemetic finite-difference Schrfidinger equation has been obtained. In representation, the form of Schrodinger equation has been transformed into the standard Mathieu equa- tion. In the WKBJ approximation, the energy level distribution of Mesoscopic RLC Circuit with a Power Source has been obtained, and then the average of P and p^2 in the ground state has been calculated. The problem of quantum fluctuations in Mesoscopic RLC circuit with a power source has been solved by quantum statistical mechanics. |
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| Keywords: | mesoscopic circuit quantization canonical transformation unitary transformation |
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