| 压缩真空态的激发态下介观互感电容藕合双谐振电路的量子涨落 |
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| 引用本文： | 徐兴磊.压缩真空态的激发态下介观互感电容藕合双谐振电路的量子涨落[J].山东师范大学学报(自然科学版),2007,22(2):48-51. |
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| 作者姓名： | 徐兴磊 |
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| 作者单位： | 菏泽学院物理学系,山东菏泽274015 |
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| 基金项目： | 山东省高等学校实验技术基金资助项目（S04W138） |
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| 摘 要： | 对介观互感电容耦合电路作双模耦合谐振子处理，将其量子化．通过三次幺正变换，将体系的哈密顿量对角化，给出了体系的本征能谱．研究了压缩真空的激发态下回路中电荷和电流的量子涨落．结果表明：这种量子涨落不仅与电路器件的参数、激发量子数、压缩参数有关，而且还和彼此的互感、电容耦合有关．
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| 关 键 词： | 介观电路 互感耦合 电容耦合 幺正变换 压缩真空态的激发态 量子涨落 |
| 修稿时间： | 2006-03-10 |
THE QUANTUM FLUCTUATIONS OF MESOSCOPIC DOUBLE RESONANCE MUTUAL INDUCTANCE AND CAPACITANCE COUPLING CIRCUIT IN EXCITED STATE OF THE SQUEEZED VACUUM STATE |
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| Xu Xinglei.THE QUANTUM FLUCTUATIONS OF MESOSCOPIC DOUBLE RESONANCE MUTUAL INDUCTANCE AND CAPACITANCE COUPLING CIRCUIT IN EXCITED STATE OF THE SQUEEZED VACUUM STATE[J].Journal of Shandong Normal University(Natural Science),2007,22(2):48-51. |
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| Authors: | Xu Xinglei |
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| Institution: | Department of Physics, Here University, 274015, Heze, Shandong, China |
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| Abstract: | Mesoscopic double resonance mutual inductance and capacitance coupling circuit are quantized by the -method of harmonic oscillator quantization. Hamiltonian is diagonalized by unitary transformation. The energy spectra of this circuit are given. The quantum fluctuations of the charge and current of each loop in excited state of the squeezed vacuum state,squeezed vacuum state and vacuum state are researched. The results show that quantum fluctuations are related to not only circuit device parameter, quantum numeber of excitation and squeezed coefficients, but also coupling magnitude of mutual inductance and capacitance. |
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| Keywords: | mesoscopic circuit mutual inductance coupling capacitance coupling unitary transformation excited state of the squeezed vacuum state quantum fluctuation |
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