介观互感耦合阻尼LC并联电路的量子化能谱

对介观互感耦合阻尼并联LC电路作双模耦合阻尼谐振子处理,将其量子化,通过三次幺正变换,将体系的哈密顿量对角化,在此基础上给出了体系的能谱。     

有互感和电源的介观耦合电路的量子涨落

通过正则变换和幺正变换的方法研究了有互感和电源存在的情况下的介观电容耦合电路的量子涨落.结果表明电荷和电流的量子涨落与电源无关;互感的有无对涨落的影响很大;适当选取回路中电器件的参数,可以控制耦合系数K对涨落的影响.并且,每个回路中电荷和电流的量子涨落是相互制约的.     

平移压缩Fock态下介观电容耦合电路的量子涨落

从经典电容耦合电路的运动方程出发,研究了在平移压缩Fock态下介观电容耦合电路中每个回路的电荷和电流的量子涨落.结果表明,每个回路中电荷、电流的量子涨落只依赖于两个回路的器件参数和压缩参量,而与平移参量无关. 关键词： 介观电路 电容耦合 平移压缩Fock态 量子涨落     

介观电容耦合电路的量子涨落

从无耗散的电容耦合电路的经典运动方程出发，分别研究了这一耦合电路在任一本征态下和在压缩真空态下电荷、电流的量子涨落.结果表明，两个回路中的量子噪声是相互关联的. 关键词：     

外源驱动下有互感的介观电容耦合电路的量子效应

从有源有互感的介观电容耦合电路的运动方程出发,通过正则变换和幺正变换的方法对有源有互感的介观电容耦合电路进行量子化,并讨论其量子涨落,结果表明电荷和电流的量子涨落与电源无关．当电路的各器件确定时,(L1 L3)／L2和C1／C2的大小对涨落有很大的影响。     

介观二阶电路量子涨落的对偶性

讨论了阻尼对介观耗散电路中电荷和电流量子涨落的影响，在能量本征态下比较了介观RLC串、并联电路中电荷和电流的量子涨落，发现它们之间具有对偶性。     

介观并联RLC电路的量子涨落

将介观并联RLC电路量子化，并利用幺正变换给出其波函数及能谱的精确解.在此基础上获得各支路中电流和电压的量子涨落. 关键词： 并联RLC电路 幺正变换 量子涨落     

介观耗散LC并联电路的量子效应

对介观耗散LC并联电路作阻尼谐振子处理，将其量子化。在此基础上，研究了Fock态及压缩真空态下，介观耗散LC并联电路中各支路电流和电压的量子涨落。结果表明，各支路电流电压的量子涨落均与电路器件的固有参数及所选量子态有关。     

介观串并联RLC电路的量子涨落

借鉴阻尼谐振子的量子力学处理的研究思想,将介观RLC串并联电路量子化．在此基础上,研究了真空态下各支路电流和电压的量子涨落．结果表明,各支路电流电压的量子涨落均与电路器件的参数有关,且随时间衰减．     

有源RLC介观电路的量子涨落

使用正则交换和幺正变换的方法，研究了有源RLC介观电路的量子涨落。结果表明电源电动势ε(t)的有无对电荷和电流的量子涨落没有影响。     

The Quantum Fluctuations of Mesoscopic Damped Mutual Capacitance Coupled Double Resonance RLC Circuit in Excitation State of the Squeezed Vacuum State

Mesoscopic damped double resonance mutual capacitance coupled RLC circuit is quantized by the method of damped harmonic oscillator quantization. The Hamiltonian is diagonalized by unitary transformation. The eigenenergy spectra of this circuit are given. The quantum fluctuations of the charges and current of each loop are researched in excitation state of the squeezed vacuum state, the squeezed vacuum state and in vacuum state. It is show that, the quantum fluctuations of the charges and current are related to not only circuit inherent parameter and coupled magnitude, but also quantum number of excitation, squeezed coefficients, squeezed angle and damped resistance. And, because of damped resistance, the quantum fluctuation decay along with time. PACS numbers: 03.65.-w,42.50.Lc.     

Quantum Effects of a Dissipative Mesoscopic Circuit with Mutual Inductance

We study the quantum fluctuations of the charge and current of two L-C dissipative mcsoscopic circuit withthe mutual inductance in the vacuum state. Our results show that the system state will evolve to a squerzcd coherentstate under the effect of external source. We find that the squeezing amplitude parameter is relative to the parametersof circuit and the mutual-inductance coefficient in the existence of dissipation. Whcn the circuit has no dissipation orthere is complete coupling between two meshes, the squeezing amplitude parameter only depends on the capacitance'sratio.     

Quantum Effects of a Dissipative Mesoscopic Circuit with Mutual Inductance

We study the quantum fluctuations of the charge and current of two L-C dissipative mesoscopic circuit with the mutual inductance in the vacuum state.Our results show that the system state will evolve to a squeezed coherent state under the effect of external source.We find that the squeezing amplitude parameter is relative to the parameters of circuit and the mutual-inductance coefficient in the existence of dissipation.When the circuit has no dissipation or there is complete coupling between two meshes,the squeezing amplitude parameter only depends on the capacitance‘s ratio.     

Quantum Fluctuation of a Mesoscopic Inductance Coupling Circuit at Finite Temperature

We study the quantization of mesoscopic inductance coupling circuit and discuss its time evolution. Bymeans of the thermal field dynamics theory we study the quantum fluctuation of the system at finite temperature.     

Quantum Fluctuations in Thermal Vacuum State for Two LC Circuits with Mutual Inductance

By means of thermal field dynamics theory, we study the quantum fluctuations of two LC circuits with mutual inductance at a finite temperature.     

Quantum Mechanical Effects in a Non-Dissipation Mesoscopic Coupled Circuit in the Presence of Source

Under the squeezed vacuum state, the quantum zero point fluctuations for both the charge and current of a non-dissipation mesoscopic coupled circuit in the presence of source are given. The quantum mechanical effects of this circuit at zero temperature are studied.     

交变电源作用下介观电感耦合电路中电荷与电流的量子涨落

利用量子厄米不变量理论,我们研究了交变电源作用下介观电感耦合电路的量子动力学,不仅得到了含时薛定谔方程的精确解,计算了电路中电荷与电流的量子涨落,同时也得到了介观电路的非绝热非循环几何相位的表达式.