量子电子学报 , 2004, 21(6): 837-842.
10.3969/j.issn.1007-5461.2004.06.025
用表象变换的方法求得了介观RLC电路的量子波函数,并由此求得了电荷和电流的量子涨落,同时又用双波函数方法研究了有源介观电路的量子效应.通过两种方法的比较可知,电路的量子涨落与所处的状态密切相关,这一点由双波函数方法清楚可见.用双波函数求得的电荷和电流的系综平均值正是用波函数求得的电荷和电流的期望值.
参考文献：
[1] Louisell W H. Quantum Statistical Properties of Radiation [M]. New York: John Willy, 1973.
[2] Chen Bin, Li Youquan, et al. Quantum effects of charge in the mesoscopic circuit [J]. Acta Physica Sinica, 1997,46(1): 129-133 (in chinese).
[3] Flores J C, Mesoscopic circuits with chanrge discreteness: quantum transmission lines [J]. Phys. Rev. B, 2001,64(23): 235309.
[4] Li Youquan, et al. Quantum theory of mesoscopic electrical circuit [J]. Phys. Rev. B, 1996, 53(16): 4027-4032.
[5] Ji Y H, Lei M S, Ouyang C Y. Time dependence of the average charge and current in a dissipative mesoscopic circuit [J]. Chinese Physics, 2002, 11(2):163-166 (in chinese).
[6] Ji Yinghua, Lei Minsheng, Xie Fangsen. Quantum fluctuation in mesoscopic inductor coupled circuits [J]. Chinese Journal of Quantum Electronics, 1999, 16(6): 526-531 (in Chinese).
[7] Wang J S, Sun C Y. Quantum fluctuations of mesoscopic circuit in squeezed vacuum state [J]. Acta Physica Sinica, 1997, 46(10): 2007-2009.
[8] Zhang Shou, Choi J R, Um C I, et al. Quantum uncertainties of a mesoscopic inductance- resistance-coupled circuit [J]. J. Korean Phys. Soc., 2002, 40(2): 325-329.
[9] Zhang Shou, Choi J R, Um C I, et al. Quantum uncertainties of mesoscopic capacitance coupled circuit [J]. Phys.Lett. A., 2001, 289: 257-263.
[10] Zhang Shou, Choi Jeong-Ryeol. Um Chung-In, et al. Quantum squeezing effect of mesoscopic capacitanceInductance-resistance coupled circuit [J]. Phys. Lett. A., 2002, 294: 319-326.
[11] Huang Xiangyou. A proposed new description of linear oscillators [J]. Chin. Phys. Lett., 1987, 4:154 (in Chinese).
[12] Huang Xiangyou, Hao Jianhong, et al. Double-wave description for two-dimensional homo-geneous linear oscillators [J]. Acta Sinica Quantum Optica, 1999, 5(2): 63-72 (in Chinese).
[13] Huang Chunjia, Zhou Ming, et al. Double wave function description of the coupling harmonic oscillator [J].Chinese J. of Atomic and Molecular Physics, 2000, 17(3): 488-494 (in Chinese).
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