量子涨落以虚光子对的形式出现。
耦合电感有助于减小电流的量子涨落。
The coupling inductance helps to reduce the quantum fluctuations of the electric current.
可是量子涨落改变了情况。
还讨论了在压缩态下的电荷和电流的量子涨落。
Based on the charge quantum, the Hamiltonian and electric current of the system are obtained.
在此基础上获得各支路中电流和电压的量子涨落。
The quantum fluctuation of the voltage and current are calculated.
但当你缩小到小尺度时，广义相对论不能忽视时空的量子涨落。
But when you zoom in to very small distances, general relativity cannot ignore quantum fluctuations of space-time.
在真空态和热真空态下讨论了介观RLC电路的量子涨落。
The quantum fluctuations of mesoscopic RLC circuit in vacuum state and in thermal vacuum state are considered.
同时特别关注了以往未加深入研究的耦合部分的量子涨落。
An actual process for the inductive coupled electric circuit is studied and special attention is paid to the quantum fluctuations in the coupling part.
结果表明，量子涨落是随时间变化的，长时间后趋于一稳定值；
The result shows that quantum fluctuations change with time, but reach definite values after a long time.
在此基础上，研究了热真空态下各支路电流和电压的量子涨落。
On this basic theory, we have studied quantum fluctuations of the voltage and current of each branch in thermal vacuum state.
在低维量子系统中，由量子涨落控制的量子相变是值得研究的问题。
In low dimensional system, quantum phase transition controlled by the quantum fluctuation is worth to study.
利用量子正则系综理论研究了介观rlc电路在混合态下的量子涨落。
By making use of the quantum canonic ensemble theory, the quantum fluctuations of a mesoscopic RLC circuit in the mixed state have been studied.
科学告诉我们他们来自宇宙空穴（译者注：即后文提到的“空”间）中的量子涨落。
Science says that it came from quantum fluctuations in the void.
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以及温度有关。
The result shows that the quantum fluctuations of the voltage and current of each branch are related with parameter of the circuit element, and also related with temperature and decayed with time.
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。
The result shows that the quantum fluctuations of the voltage and current of each branch are related with parameter of the circuit element, and decay with time.
对于电容耦合电路的不同实际状态，研究了完全由耦合引起的量子涨落减小问题。
For different states of the mesoscopic capacitive coupled electric circuit, reduction of quantum fluctuations induced by the coupling was studied.
研究了压缩真空态的激发态、压缩真空态和真空态下回路中电荷和电流的量子涨落。
The quantum fluctuations of the charge and current in the two loops of the circuit were studied under squeezed vacuum excitation state, squeezed vacuum state and vacuum state, respectively.
两个分回路电路参数的不同会使一个分回路中的量子涨落减小，另一个分回路中的增加。
The difference of the circuit parameters in the two component circuits makes the quantum fluctuations in one component circuit smaller and that in the other larger.
通过将热场动力学推广到含时体系，研究了有限温度下介观含时LC电路中的量子涨落。
By extending the thermal field dynamics to the time dependent system, quantum fluctuations of the time dependent mesoscopic LC electric circuit at finite temperature were studied.
在确定的温度下，系统将处在混合态，进一步得到有限温度下含源介观LC电路的量子涨落。
In a definite temperature, the system will be in a mixed state, further, we obtain the quantum fluctuations in mesoscopic LC circuit with a power source in a finite temperature.
在对电路的初始相位进行统计平均后，各量的平均值以及量子涨落回到标准量子力学的结果。
After making statistical average over the initial phases, the average and quantum fluctuation of every quantity reduce to that derived by the standard quantum mechanics.
研究了两个分回路中电路参数即电容和电感的不同对有阻尼的介观耦合电路中量子涨落的影响。
For different states of the mesoscopic capacitive coupled electric circuit, reduction of quantum fluctuations induced by the coupling was studied.
届时，霍金将论证一个终极问题，即早期宇宙中微小的量子涨落是如何成为后来形成星系、恒星以及人类的火种。
In the talk, he will argue that tiny quantum fluctuations in the very early universe became the seeds from which galaxies, stars, and ultimately human life emerged.
在演讲中他将证明，在甚早期的宇宙中的微小量子涨落成为星系、恒星以及最终人类生命出现的起源。
In the talk, he will argue that tiny quantum fluctuations in the very early universe became the seeds from which galaxies, stars, and ultimately human life emerged.
结果表明，介观无损耗传输线中电流的量子涨落不仅与电路的参数有关，还与传输线所处的环境温度有关。
It is shown that the quantum fluctuations depend on not only the parameters of the transmission line but also the environmental temperature t.
结果表明，介观无损耗传输线中电流的量子涨落不仅与电路的参数有关，还与传输线所处的环境温度有关。
It is shown that the quantum fluctuations depend on not only the parameters of the transmission line but also the environmental temperature t.
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