共查询到20条相似文献,搜索用时 20 毫秒
1.
Xing-Lei Xu Hong-Qi Li Ji-Suo Wang 《International Journal of Theoretical Physics》2006,45(12):2471-2482
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. 相似文献
2.
The mesoscopic quartz piezoelectric crystal equivalent circuit is quantized by the method of damped harmonic oscillator quantization. It is shown that, when each branch is in the thermal vacuum states, the quantum fluctuations of the voltage, and current of each loop relate with not only the equivalent circuit inherent parameter, but also the temperature and decay according to exponent along with time. 相似文献
3.
介观耗散LC并联电路的量子效应 总被引:10,自引:1,他引:9
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。 相似文献
4.
Quantum Fluctuations of Current and Voltage for Mesoscopic Quartz Piezoelectric Crystal at Finite Temperature 下载免费PDF全文
The mesoscopic quartz piezoelectric crystal equivalent circuit is quantized by the method of damped harmonic oscillator quantization. It is shown that the quantum fluctuations of voltage and current of each loop are related to not only the equivalent circuit inherent parameter and squeezing parameter, but also the temperature, and decay according to exponent along with time in the thermal vacuum state, the thermal coherent state and the thermal squeezed state. 相似文献
5.
介观互感耦合阻尼并联双谐振电路的量子涨落 总被引:5,自引:1,他引:4
对介观互感耦合阻尼并联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本征能谱,研究了Fock态、真空态下各回路电流和电压的量子涨落. 相似文献
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QUANTUM FLUCTUATIONS IN A MESOSCOPIC DAMPED LC PARALLEL CIRCUIT IN DISPLACED SQUEEZED FOCK STATE 总被引:3,自引:0,他引:3 下载免费PDF全文
We study the quantum effects of a damped LC parallel circuit considering its different performance from an RLC series circuit in classical physics. The damped LC parallel circuit with a source is quantized and the quantum fluctuations of magnetic flux and electric charge in the circuit in displaced squeezed Fock state are investigated. It is shown that, as in the RLC series circuit, the fluctuations only depend on the squeezing parameter and the parameters of the circuit components in the damped LC parallel circuit, but the effects of the circuit components on the fluctuations are different in the two circuits. 相似文献
8.
Shuai Wang 《International Journal of Theoretical Physics》2009,48(5):1459-1465
For L-C circuit, a new quantized scheme has been proposed in the context of number-phase quantization. In this quantization
scheme, the number n of the electric charge q(q=en) is quantized as the charge number operator and the phase difference θ across the capacity is quantized as phase operator. Based on the scheme of number-phase quantization and the thermo field
dynamics (TFD), the quantum fluctuations of the charge number and phase difference of a mesoscopic L-C circuit in the thermal
vacuum state, the thermal coherent state and the thermal squeezed state have been studied. It is shown that these quantum
fluctuations of the charge number and phase difference are related to not only the parameters of circuit, the squeezing parameter,
but also the temperature in these quantum states. It is proven that the number-phase quantization scheme is very useful to
tackle with quantization of some mesoscopic electric circuits and the quantum effects. 相似文献
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11.
Under the Born-von-Karmann periodic boundary condition, we
propose a quantization scheme for non-dissipative distributed parameter
circuits (i.e. a uniform periodic transmission line). We find the unitary
operator for diagonalizing the Hamiltonian of the uniform periodic
transmission line. The unitary operator is expressed in a coordinate
representation that brings convenience to deriving the density matrix
ρ(q,q',β). The quantum fluctuations of charge and current at a definite temperature have been studied. It is shown that quantum fluctuations of distributed parameter circuits, which also have distributed
properties, are related to both the circuit parameters and the positions and
the mode of signals and temperature T. The higher the temperature
is, the stronger quantum noise the circuit exhibits. 相似文献
12.
介观串并联RLC电路的量子涨落 总被引:4,自引:0,他引:4
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. 相似文献
13.
Xiu-Xia Wang 《International Journal of Theoretical Physics》2014,53(9):3164-3172
Using the IWOP technique, Wigner function theory and TFD theory, the quantization of a mesoscopic biological cell equivalent circuit is proposed, The quantum fluctuations of the mesoscopic biological cell are researched in thermal vacuum state and vacuum state. It is shown that the IWOP technique, Wigner function theory and Umezawa-Takahashi’s TFD theory play the key role in quantizing a mesoscopic biological cell at finite temperature and the fluctuations and uncertainty increase with increasing temperature and decrease with prolonged time. 相似文献
14.
在将介观无损耗传输线量子化的基础上, 研究了真空态和压缩真空态下传输线中电流和电流梯度的量子涨落. 着重分析了传输线与一般LC电路量子涨落的差异.
关键词:
介观无损耗传输线
真空态
压缩真空态
量子涨落 相似文献
15.
Thermal effect and energy-level transition rule for themesoscopic LC circuit with inductance--capacitance coupling 下载免费PDF全文
<正>This paper reports that the mesoscopic inductance and capacitance coupling LC circuit is quantized by means of the canonical quantization method.Using the ’invariant eigen-operator’ method,it deduces the energy-level transition rule when the system is disturbed by an external electromagnetic field.At the same time,the quantum fluctuations for the system at finite temperature are examined by virtue of the generalized Hellmann—Feynman theorem. 相似文献
16.
《Physics letters. A》1998,244(4):196-200
A quantization scheme for an RLC circuit with a source is proposed and the fluctuations of the charge and the magnetic flux of the circuit in several quantum states are studied. The equation of motion for the density operator of the circuit is established and solved. The solutions are discussed. 相似文献
17.
介观二阶并联电路的量子涨落 总被引:3,自引:0,他引:3
从有源RLC并联电路的经典运动方程出发,通过引入复正则变量,提出了RLC并联电路的量子化方案.作为应用,研究了压缩真空态下介观并联RLC电路中电压,电流的量子涨落,并对结果进行了讨论. 相似文献
18.
本文利用含时微扰论,研究了电源幅值较小时介观LC电路中电荷与电流的量子涨落。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。研究表明有源介观LC电路的量子涨落不仅与电路参数有关,还与时间和温度有关。 相似文献
19.
Under the Born-von-Karmann periodic boundary condition, we propose a quantization scheme for a non-dissipative distributed parameter circuit (a uniform transmission line). Quantum fluctuations of charge and current in the vacuum state are investigated by adopting the canonical transformation and unitary transformation method. Our results indicate that in distributed parameter circuits, quantum fluctuations, which also have distributed properties, are related to both the circuit parameters and the positions and the mode of signals. 相似文献
20.
介观互感耦合阻尼LC并联电路的量子化能谱 总被引:2,自引:1,他引:1
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。 相似文献