也谈带电粒子在电磁场中动态受力平衡条件

电磁场中相对论带电粒子的经典轨道运动受到洛伦兹力和辐射阻尼力的影响,在一定条件下会达到受力平衡状态．基于洛伦兹一狄拉克方程,本文介绍了计及辐射阻尼力后电磁场中带电单粒子(包括导体中的自由电子)受力平衡条件的一种可能的相对论协变形式．     

Entanglement Properties of Two-Mode Squeezed Coherent States in Radiation Field

Entanglement properties of two-mode squeezed coherent states in the radiation field are investigated according to the entanglement criterion [Phys. Rev. Lett. 84 (2000) 2722]. The dependence of entanglement on squeeze angle and squeeze parameter is discussed. It shows that the system evolves into entangled states and entanglement does not increase persistently with the increase of squeeze angle and squeeze parameter. There only exists a certain squeeze angle in which the entanglement exists continuously.     

A curiosity concerning the role of coherent states in quantum field theory

In the usual Fock quantisation of fields in Minkowski space-time, one has the result that the expectation value of the quantum Hamiltonian in any coherent state equals the energy of the classical field at which the state is peaked. It is shown that this property can be used tocharacterise the usual Fock representation. It is also pointed out that the entire analysis goes through for a substantially more general class of systems including, in particular, Bose fields in arbitrary stationary space-times.     

Lagrangian and Hamiltonian formalisms for relativistic dynamics of a charged particle with dipole moment

The Lagrangian and Hamiltonian formulations for the relativistic classical dynamics of a charged particle with dipole moment in the presence of an electromagnetic field are given. The differential conservation laws for the energy-momentum and angular momentum tensors of a field and particle are discussed. The Poisson brackets for basic dynamic variables, which form a closed algebra, are found. These Poisson brackets enable us to perform the canonical quantization of the Hamiltonian equations that leads to the Dirac wave equation in the case of spin 1/2. It is also shown that the classical limit of the squared Dirac equation results in equations of motion for a charged particle with dipole moment obtained from the Lagrangian formulation. The inclusion of gravitational field and non-Abelian gauge fields into the proposed formalism is discussed.Received: 4 June 2005, Published online: 27 July 2005     

Autoinjection of Single-Pulse Priming Radiation in a Laser with a Bifurcated Anisotropic Resonator

The optical schemes of lasers with autoinjection of priming radiation in a bifurcated anisotropic resonator are described that make it possible to increase the efficiency of the formation of highly coherent giant pulses by raising the priming radiation intensity level. The parameters of radiation of that kind of ruby lasers have been experimentally studied with Q-switching of a low Q resonator by a bleaching filter and electrooptical switching of the generation channel into the resonator with a higher Q and/or the gain coefficient of an active element, and/or the active material space factor of the resonator.     

Radiation of a charged particle in a random stack of plates

Radiation from a charged particle moving in a system of randomly spaced plates is considered. It is shown that the dominant radiation mechanism is diffusion. The total intensity of radiation is investigated, and its quadratic dependence on particle energy is noted in the optical region. A comparison with Cherenkov radiation is carried out. Zh. éksp. Teor. Fiz. 114, 91–99 (July 1998) Published in English in the original Russian journal. Reproduced here with stylistic changes by the Translation Editor.     

同步辐射的相干模式

在分析了光源相干相体积的基础上，重点研讨了第三代同步辐射中波荡器（ｕｎｄｕｌａｔｏｒ）辐射的相干模式，能谱亮度，相干光子通量等，这对提高光束线相干能量的传输效率和软Ｘ光相干学束线的设计具有重要意义。     

磁压缩器中相干同步辐射对束团品质的影响

在进行束团压缩时,相干同步辐射导致束团能量再分配,这会引入一定类型的非线性,目前普遍认为该非线性会导致束团发射度的急剧增加.本文通过模拟计算发现该结论只在一定条件下成立,同时还发现相干同步辐射引入固定类型的非线性,在特定参数下,该非线性能在一定程度上抵消束团原有的非线性,最终可能对束团品质有改善作用.     

Superpositions of the dual family of nonlinear coherent states and their non-classical properties

Nonlinear coherent states (CSs) and their dual families were introduced recently. In this paper, we want to obtain their superposition and investigate their non-classical properties such as antibunching effect, quadrature squeezing and amplitude squared squeezing. For this purpose two types of superposition are considered. In the first type, we neglect the normalization factors of the two components of the dual pair, superpose them and then we normalize the obtained states, while in the second type we superpose the two normalized components and then again normalize the resultant states. As a physical realization, the formalism will then be applied to a special physical system with known nonlinearity function, i.e., Hydrogen-like spectrum. We continue with the (first type of) superposition of the dual pair of Gazeau-Klauder coherent states (GKCSs) as temporally stable CSs. An application of the proposal will be given by employing the Pöschl-Teller potential system. The numerical results are presented and discussed in detail, showing the effects of this special quantum interference.     

矩形波导中超短脉冲电子束的相干同步辐射

考虑了当射频调制的超短脉冲电子束径向长度远小于辐射波长时，将其理想化为δ时间函数，提出了用波导本往模展开的方法来计算矩形波导中超短脉冲电子束的相干同步辐射及其频率特性。结果表明：（１）当谐振频率等于调制电子束微脉冲时间隔的射频的整数倍时，辐射模式表现为“纯”的波导本征模。（２）波导效应使得超短脉冲电子束在两个频率处发生相干同步辐射，而且低频支的辐射功率高于高频支的。最后指出波导自由电子激光器单横模     

Superposition of Coherent States in a Mesoscopic Josephson Junction with Dissipation

A mesoscopic Josephson junction with dissipation is considered. Usually the dissipation in the system is described as a consequence of its coupling to a reservoir. By solving the master equation we show that the state of the junction can evolve in a quantum superposition of two coherent states even when the dissipation is present.``     

Quantum state engineering by superpositions of coherent states along a straight line with a single atomic state measurement

A new scheme is proposed for preparation of a type of nonclassical state in cavity QED. In the scheme, an atom either flying through or trapped within a cavity, is controlled by the classical Stark effect; this makes it interact alternately with a (resonant) classical field and with the (dispersive) cavity field. The cavity field, which allows an arbitrary displacement operation during the process, after the detection on the atom, finally collapses to the specific superpositions of coherent states, with their weighting factors controllable. The scheme is also applied for preparation of superpositions of motional coherent states for a trapped ion. The scheme is in contrast to all the previous ones, and thus provides a new perspective for quantum state engineering.     

Self-torque on a dual charged dumbbell

We analyze some features of the electrodynamics of dual charges and we derive an expression for the self-torque in a simple model of extended dual charge, taking into account, consistently, the retarded condition we compare our results with those obtained for electric or magnetic charges only. The behaviour of a dual charge distribution is radically different from the behaviour of a purely electric or magnetic one.     

Superposition of Coherent States in a Mesoscopic Josephson Junction with Dissipation

A mesoscopic Josephson junction with dissipation is considered. Usually the dissipation in the system is described as a consequence of its coupling to a reservoir. By solving the master equation we show that the state of the junction can evolve in a quantum superposition of two coherent states even when the dissipation is present.     

Quantum Properties of Odd Excited Negative Binomial States of the Radiation Field

The odd excited negative binomial states are introduced using the photon creation operator by repeated application on negative binomialstates. These states interpolate between the odd displaced Fock states and the odd excited pure thermal states. In this paper both squeezing phenomena (normal squeezing and amplitude squared squeezing) are discussed. Besides discussion of the Glauber second-order correlation function, investigations are carried out for the quasi-probability distribution functions (Wigner function and Q-function). Finally the Pegg-Barnett phase probability distribution is computed for these states.     

可变椭圆极化波荡器相干太赫兹辐射的模拟计算

中国科学院上海应用物理研究所正在研制的相干太赫兹辐射装置是一台利用飞秒电子束团通过可变椭圆极化波荡器产生高亮度水平线极化光、垂直线极化光或各种椭圆极化光的强相干太赫兹辐射光源.本文描述了这种相干太赫兹辐射的光通量密度空间分布、光谱、极化特性和相干性等的计算方法和模拟计算结果.计算结果表明,对于能量为20MeV、发射度为15πmm·mrad、束团长度为200fs、电荷量为50pC的电子束团,在距离0.6m长的波荡器中心1m处可获得光通量密度峰值达2×10⁹photons/mm²/0.1%bw量级的太赫兹水平线极化光或圆极化光