LC振荡电路的辛分析法

将哈密顿体系辛方法拓展到LC电路,研究LC振荡电路的辛分析法.由以电量q为变量的拉格朗日函数出发,引出对偶变量磁通链ф,将电量q与ф组成状态参量,把LC电路问题导向辛体系.对辛表述下的对偶方程利用分离变量法进行求解,问题转化成了辛本征问题.只要求出系统的哈密顿矩阵H,便可通过求解相应的本征值方程得到LC电路的振荡规律.算例验证了本文方法的有效性和正确性.将LC电路问题导入辛体系,为LC电路提供了一种新的分析方法.     

电噪声与绝对温度、波尔兹曼常量以及阿佛加德罗数的测定

波尔兹曼常量k能用很简单的电子放大器来测量。本文所描述的装置除了确定k之外,还可以用来测定绝对温度和阿佛加德罗数。原理这个实验所涉及的基本原理是对LC电路中电能的测量。图1所示的简单LC电路,可视为在电场或磁场中储存能量。LC电路     

热克尔态下介观LC电路的量子涨落

基于介观电容可看作介观隧道结的物理事实，利用旋波近似方法，对介观LC电路进行量子化处理，量子化后介观LC电路系统等效为一个克尔系统.再利用热场动力学理论方法 研究了介观LC电路在有限温度时热克尔态下电荷和磁通的量子涨落，并对结果进行了讨 论. 关键词： 介观LC电路 热克尔态 量子涨落     

缺陷致非线性电路孤子非对称传输

设计了一种有缺陷的非线性电感-电容(LC)电路,简单方便地实现了电路能量非对称传输,且其能量的载体是非线性波——孤子.在LC电路中,当缺陷靠近驱动时,驱动频率接近缺陷本振频率,缺陷共振致电路导通.远离驱动时,电路不导通.缺陷的引入改变电路的均一性,实现小驱动振幅下孤子的单向释放,提高驱动能量转化为孤子能量的效率.对非线性LC电路的传输能量、缺陷系数和驱动振幅三者的关系进行了讨论.     

有源介观LC电路的量子涨落

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。     

R(t)LC介观电路的量子力学处理

通过正则化变换技巧,采用费曼路径积分方法,完成了R(t)LC介观电路的量子化工作,并研究了介观电路的电荷和广义电流的量子涨落以及两者的不确定关系. 关键词：     

脉冲信号作用下介观LC电路的量子效应

讨论了介观LC电路在外加脉冲信号作用下量子态的变化,指出当脉冲信号宽度是某个最小量的整数倍时,系统的量子态保持不变;最小量的值和电路参数有关 关键词： 介观LC电路 脉冲信号 量子态     

Number-Phase Quantization and Deriving Energy-Level Gap of Two LC Circuits with Mutual-Inductance

For two LC circuits with mutual-inductance, we introduce a new quantization scheme in the context of number- phase quantization through the standard Lagrangian formalism. The commutative relation between the charge operator and the magnetic flux operator is derived. Then we use the Heisenberg equation of motion to obtain the current and voltage equation across the inductance and capacity. The results clearly show how the current and voltage in a single LC circuit are affected by the circuit parameters and inductance coupling coettlcient. In addition, adopting invariant eigen-operator method the energy-level gap of the dynamic Hamiltonian which describes two LC circuits with mutual-inductance is obtained.     

介观LC电路零状态响应的完全解

采用代数动力学规范变换方法，求出含时变电压源的介观LC电路量子态随时间演化算符的精确解.研究了介观LC电路的零状态响应问题，求出电荷与电流对输入电压信号的零状态响应的完全解，结果表明介观LC电路系统具有线性时不变特性，且电荷与电流的零状态响应与宏观LC电路的结果相同.     

介观LC电路零状态响应的完全解

采用代数动力学规范变换方法,求出含时变电压源的介观LC电路量子态随时间演化算符的精确解.研究了介观LC电路的零状态响应问题,求出电荷与电流对输入电压信号的零状态响应的完全解,结果表明介观LC电路系统具有线性时不变特性,且电荷与电流的零状态响应与宏观LC电路的结果相同.     

QUANTUM FLUCTUATIONS IN A MESOSCOPIC DAMPED LC PARALLEL CIRCUIT IN DISPLACED SQUEEZED FOCK STATE

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.     

Bloch oscillations and Wannier-Stark ladder in the coupled LC circuits

We present a new scheme for realizing Bloch oscillations and Wannier-Stark ladder based on a lattice of coupled LC circuits. By converting the second order dynamical ODEs of the system into a first order Schrödinger-like equation, we propose an equivalent tight binding Hamiltonian to describe the circuit. We show that a synthesized electric field is produced by introducing a frequency mismatch into the resonant frequency of the adjacent LC resonators. The Wannier-Stark modes are the normal modes of the circuit and the Bloch oscillations can be observed in a coupled LC lattice. By addition of coupling capacitors between nodes of the circuit, we study the Bloch oscillation in the presence of long-range couplings. We also show that the circuit converts to a transmission line simulating synthetic electric fields in the continuum limit. The coupled LC circuit is, in some sense, amongst the simplest physical systems exhibiting Bloch oscillation and Wannier-Stark Ladder.     

时基反馈控制的Tesla变压器初级电源

LC谐振充电是Tesla变压器常用的初级电容充电技术,但存在对控制时序要求高、易受电磁干扰和不具备故障保护能力等缺陷。针对这个问题,提出了一种时基反馈控制的LC谐振充电电源。该电源与传统LC谐振电源的主要区别在于,采用特殊设计的时基反馈电路取代多路时基控制器,将能量回收开关反向阻断瞬间的电压突变调制为谐振晶闸管触发信号,从而在能量回收结束时刻启动谐振充电,实现各工作回路准确按照预定时序运行。时基反馈电路由高压元件构成,不易受电磁干扰,且在原理上具备负载短路保护能力。该技术已经应用于CKP1000,CKP5000等多台Tesla型超宽谱脉冲源。实验结果表明,在强脉冲辐射环境下,该电源能够1000 Hz重频稳定运行,且能够在Tesla变压器初级短路故障时进行快速自动保护。     

介观LC电路中电压、电流的量子涨落

从有源LC回路运动方程出发,通过引入正则变量、量子化有源LC电路,研究了真空态、压缩真空态下介观LC电路中电压、电流的量子涨落,并着重研究了压缩角对涨落的影响。     

有源介观LC电路中电源对量子涨落的影响

从有源ＬＣ电路运动方程出发，通过量子化有源ＬＣ电路和计算电压、电流的量子涨落，研究了电源对量子涨落的影响。     

利用介观LC电路制备薛定谔猫态

提出了一种制备相干态的叠加态，即薛定谔猫态的方案. 该方案是基于将外加冲激信号作用于介观LC电路系统而设计的. 在该薛定谔猫态下，介观电路系统有非经典的量子压缩效应. 关键词： 介观LC电路 冲激信号 薛定谔猫态     

Twin LC Resonator System for EPR Measurements Operating at Radio-Frequency

Two LC resonant circuits resonating at the same frequency (245 MHz) faced each other with reverse polarity (twin electron paramagnetic resonance (EPR) resonator). For the inductor of the LC circuit, a square single-turn one-loop coil (width, 38 mm) was fabricated. Each LC circuit was independently tuned using mechanical variable capacitors. A cylindrical phantom (diameter, 25 mm) including a 1 mM nitroxide radical physiological saline solution was located at the center of two coils (distance between these coils, 50 mm). Two resonant frequencies (the lower and the higher ones) were observed at each LC circuit of the twin EPR resonator with termination of the other LC circuit. The lower resonant frequency alone was observed when the powers from two LC circuits of the twin EPR resonator were combined by a 180° combiner. On the other hand, the higher frequency alone was observed when they were combined by a 0° combiner. EPR signals could be obtained using the 180° combiner (lower frequency) but not the 0° combiner (higher frequency).     

基于磁开关的全固态、高功率、长脉冲发生器的初步研究

大多数电容储能型脉冲功率装置的共同特点是采用了气体开关, 由于气体绝缘恢复的限制和电极的烧蚀, 使得其重复频率都不太高, 而且寿命有限. 而目前广泛研究的磁脉冲压缩技术在脉冲功率系统的长寿命、高平均功率和高重复频率运行方面具有很大的应用前景. 通过对BOOST电路、LC谐振电路和磁脉冲压缩电路详细的理论分析和计算机模拟, 设计了由BOOST电路, LC谐振电路, 脉冲变压器, 磁压缩系统, 负载五大部分组成的脉冲发生器电路系统模型, 使用Pspice软件对系统进行了模拟、优化, 得到了电压幅值为55kV, 脉宽为500ns的输出脉冲.