介观电子谐振腔的电阻,随门电压周期振荡的性质,受到了广泛的关注.利用Feynman路径积分的方法,对介观电子谐振腔进行了量子化.应用待定系数法求出了系统的传播子,计算了系统的波函数,讨论了系统的量子涨落和不确定关系.结果表明,无耗散的介观电子谐振腔系统的电荷和电流的量子涨落,与介观LC电路的量子涨落相同.
[1] 凌瑞良, 吴娟花, LING Rui-liang, WU Juan-hua. RLC介观电路的量子化研究 [J]. 大学物理 2009.doi:10.3969/j.issn.1000-0712.2009.11.002
[2] JI Ying-hua, LUO Hai-Mei, LEI Min-sheng. The Squeezing Effect in a Mesoscopic RLC Circuit [J]. 理论物理通讯(英文版) 2002.
[3] BUOT F A. Mesoscopic physics and nanoelectronics [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS 1993, 234.
[4] LOUISELL W H. Quantum statistical properties of radiation [M]. New York:John Wiley & Sons 1973.
[5] Li YQ., Chen B.. QUANTUM THEORY FOR MESOSCOPIC ELECTRIC CIRCUITS [J]. Physical Review.B.Condensed Matter 1996, 7(7).
[6] Zhang ZM., Zhou SK., He LS.. A quantum theory of an RLC circuit with a source [J]. Physics Letters, A 1998, 4(4).
[7] Ji-Suo Wang, Chang-Yong Sun. Quantum Effects of Mesoscopic RLC Circuit in Squeezed vacuum State [J]. International Journal of Theoretical Physics: A Journal of Original Research and Reviews in Theoretical Physics and Related Mathematics, Dedicated to the Unification of Physics 1998, 4(4).
[8] FAN Hong-Yi, LIANG Xian-Ting. Quantum Fluctuation in Thermal Vacuum State for Mesoscopic LC Electric Circuit [J]. 2000.
[9] LEI Min-sheng, JI Ying-hua, XIE Fang-sen. Quantum Squeezing Effects of a Non-dissipative Mesoscopic Circuit with Coupled Inductors and Capacitors [J]. 2001.
[10] SUN Changpu. Quantum dynamical model for wave-function reduction in classical and mesoscopic limits [J]. Physical Review 1993, A48(02).
[11] BENJAMIN C, JAYANNAVAR AM. Current magnification effectin mesoscopic systems at equilibrium [J]. Physical Review 2001, B64.
[12] 陈斌, 高守恩, 焦正宽. 低温下介观电路的量子涨落 [J]. 1995.
[13] YAN Zhan-Yuan, ZHANG Xiao-Hong, HAN Ying-Hui. Quantum Effect in Mesoscopic Open Electron Resonator [J]. 2008.
[14] Katine JA, Eriksson MA, Adourian AS, Westervelt RM, Edwards JD, LupuSax A, Heller EJ, Campman KL, Gossard AC, HARVARD UNIV DEPT PHYS CAMBRIDGE MA 02138.. Point contact conductance of an open resonator [J]. Physical review letters 1997, 24(24).
[15] Duncan DS., Westervelt RM., Maranowski KD., Gossard AC., Topinka MA.. Aharonov-Bohm phase shift in an open electron resonator - art. no. 033310 [J]. Physical Review.B.Condensed Matter 2001, 3(3).
[16] Diaz CAU, Flores JC, Ponce AP. Simple approach to the mesoscopic open electron resonator: quantum current oscillations [J]. Solid State Communications 2005, 2(2).