Electromagnetic interaction in theory with Lorentz invariant CPT violation

An attempt is made to incorporate the electromagnetic interaction in a Lorentz invariant but CPT violating non-local model with particle–antiparticle mass splitting, which is regarded as a modified QED. The gauge invariance is maintained by the Schwinger non-integrable phase factor but the electromagnetic interaction breaks C, CP and CPT symmetries. Implications of the present CPT breaking scheme on the electromagnetic transitions and particle–antiparticle pair creation are discussed. The CPT violation such as the one suggested in this Letter may open a new path to the analysis of baryon asymmetry since some of the Sakharov constraints are expected to be modified.     

Lorentz Invariance and Brownian Motion of Test Particles with Constant Classical Velocity in Electromagnetic Vacuum

We show that the velocity and position dispersions of a test particle with a nonzero constant classical velocity undergoing Brownian motion caused by electromagnetic vacuum fluctuations in a space with plane boundaries can be obgained from those of the static case by Lorentz transformation. We explicitly derive the Lorentz transformations relating the dispersions of the two cases and then apply them to the case of the Brownian motion of a test particle with a constant classical velocity parallel to the boundary between two conducting planes. Our results show that the influence of a nonzero initial velocity is negligible for nonrelativistic test particles.     

电磁搅拌中旋转磁场及洛伦兹力的数值模拟

由于工程中应用广泛的电磁搅拌问题很难得到解析解,通过有限元软件ANSYS对其进行了数值求解。结果表明：旋转磁场在结晶器搅拌区域内产生电磁力,使钢液在水平方向形成旋转流动。随着频率的增加,磁感应强度逐渐减小、电磁力密度则先增加后减小。在频率一定的情况下,通电线圈电压的增加可导致电磁力密度的增大,通过相关物理理论可对其进行合理解释。     

Panel Session on the Future of Few-Body Physics

During the 22nd European Few-Body Conference, a session was devoted to a panel discussion on the future of few-body physics. The panel members were Charlotte Elster, Jaume Carbonell, Evgeny Epelbaum, Nasser Kalantar-Nayestanaki, and Jean-Marc Richard. The session was chaired by Ben Bakker. After presentations by the panel members, several topics were discussed with the audience. The conclusions of this discussion are presented in this paper.     

Energy-Dependent Description of Gravitation Supported by an Electromagnetic Test of Local Lorentz Invariance

We put forward a possible intriguing connection between an energy-dependent metric for gravitation (obtained by fitting the data on the slowing down of clocks in the gravitational field of Earth) and the positive experimental results of a recently proposed electromagnetic test of breakdown of local Lorentz invariance, based on the detection of a voltage induced by a steady magnetic field.     

Electromagnetic shocks on the optical cycle of ultrashort pulses in triple-resonance Lorentz dielectric media with subfemtosecond nonlinear electronic Debye relaxation

The dynamical evolution of an intense ultrashort sub-10-fs two-cycle optical pulse is considered as it propagates through a transparent third-order dielectric medium characterized by three resonance lines and a finite sub-fs relaxation time of the electronic nonlinearity. Numerical integration of the full Maxwell's equations incorporating triple-resonance Lorentz linear dispersion and Debye nonlinear dispersion, for a linearly polarized electromagnetic pulse centered at lambda(0)=1.24 microm in the normal dispersion region near the zero dispersion wavelength, shows the formation of shocks occurring on the optical cycle due to the generation of optical harmonics. The finite relaxation time of the nonlinear electronic response (sub-fs time scale) (i) slows down the steepening rate of the optical cycle; (ii) does not limit the generation of strongly phase matched optical harmonics, and consequently the development of infinitely sharp edges on the optical cycle producing its breaking when linear dispersion is not included; (iii) reduces the production of phase matched harmonics and consequently the sharpening of the jumps when dispersion is present, compared to the case of an instantaneous nonlinear response; and (iv) reduces the harmonic spectrum spreading and modulation at later times on the appearance of self-steepening of the electric field envelope.     

Interference in the Unitarity Relation in Few-Body Dynamics

The various terms present in the unitarity relation for elastic and inelastic nucleon-nucleon scattering are studied in a three-body model. Because of the three-body dynamics one can determine a special interference term contributing to the total cross section. This interference term can be positive or negative. The explicit calculation of this term may serve as a check on three-body calculations. It also provides a measure of the actual importance of three-body dynamics in a particular model. Received July 7, 1997; revised January 16, 1998; accepted for publication January 26, 1998     

Few-Body Aspects of the Near Threshold Pseudoscalar Meson Production

During the last decade large samples of data have been collected on the production of the ground-state pseudoscalar mesons in collisions of proton or deuteron beam with hydrogen or deuterium target. These measurements have been performed in the vicinity of the kinematical threshold for meson production where only a few partial waves in both initial and final state are expected to contribute to the production process. This simplifies significantly the interpretation of the data, yet still appears to be challenging due to the three or four particle final state systems with a complex hadronic potential. We review experiments and phenomenology of the near threshold production of the ground-state mesons in the few-body final states as for example: nucleus-meson and nucleon-nucleon-meson, and report on the status of the search of the mesic-nuclei (a meson-nucleus bound states). Experimental advantages of measurements close to the kinematical threshold are discussed, and general features of the production mechanism of the η and η′ mesons in the nucleon-nucleon collisions are presented emphasising results of measurements of spin and isospin dependence of the production cross sections.     

Universal Prohibited Zones in the Coordinate Space of Few-Body Systems

In some special zones of the high-dimensional coordinate space of few-body systems with identical particles, the operation of an element (or a product of elements) of the symmetry groups of the Hamiltonian on a quantum state might be equivalent to the operation of another element. Making use of the matrix representations of the groups, the equivalence of a pair of operations leads to a set of homogeneous linear equations imposed on the wave functions. When the matrix of these equations is non-degenerate, the wave functions will appear as nodal surfaces in these zones. In this case, these zones are prohibited. In this paper, tightly bound 4-boson systems with three types of interaction have been studied analytically and numerically. The existence of the universal prohibited zones has been revealed, and their decisive effect on the structures of the eigenstates is demonstrated.     

Efficient Method for Lorentz Integral Transforms of Reaction Cross Sections

The Lorentz integral transform (LIT) method, which allows ab-initio calculations of few-body cross sections, is reformulated via the Lanczos algorithm. The new technique, being quite general, is tested on inclusive and exclusive photonuclear reactions on three- and four-body nuclei. Due to the rapid convergence of the algorithm one gains a substantial decrease in CPU time with an excellent agreement with the results of a conventional LIT calculation. The present work opens up the possibility of ab-initio calculations for inclusive and exclusive processes for systems with a number of particles N 6.     

广义洛伦兹磁力具有普适性,它能全面解释电磁感应的物理过程

本文将综合论证指出：广义洛伦兹磁力具有普适性,它能全面解释电磁感应的物理过程;无论是静态场,或是时变场,都是洛伦兹磁场力的作用结果.①电波反射是广义洛伦兹磁力的应用,②广义洛伦兹磁力使线圈产生“反电动势”,③接收天线上的信号形成是广义洛伦兹磁力的作用结果,④磁力线静止而导体转动情况的经典洛伦兹磁力的应用,⑤导体静止而磁铁携带磁力线转动情况是广义洛仑兹磁力的应用,⑥磁发电机是广义洛伦滋磁力的应用,⑦变压器的变压原理是广义洛伦滋磁力的应用⑧铁芯中形成涡电流是广义洛伦滋磁力的应用.故,“磁生电”的真实原因是：金属电子在广义洛伦兹磁力的作用下的流动而形成Ic,却不是法拉第-麦克斯韦-爱因斯坦他们在自由空间里虚构的位移电流Ia.或,基于唯物主义自然观,联系电磁感应的物质是洛伦兹的金属电子,却不是法拉第-麦克斯韦-爱因斯坦他们的真空以太.     

Transitions Between Rotational Nuclear Few-Body States in the Continuum

Continuum to continuum transitions are used to investigate the continuum properties of ⁸Be. The dependence of the cross section on the α?α potential and the rotational character of the ⁸Be energy spectrum are investigated.     

On Applying the Subspace Perturbation Theory to Few-Body Hamiltonians

We present a selection of results on variation of the spectral subspace of a Hermitian operator under a Hermitian perturbation and show how these results may work for few-body Hamiltonians.     

Analytic Lorentz Integral Transform of an Arbitrary Response Function and its Application to the Inversion Problem

In this paper we present an analytic expression for the Lorentz integral transform of an arbitrary response function expressed as a polynomial times a decaying exponent. The resulting expression is applied to the inversion problem of the Lorentz integral transform, simplifying the inversion procedure and improving the accuracy of the procedure.     

无需利用洛伦兹变换的相对论质能关系新推导

依据相对性原理以及相对论动量、能量的基本定义和相应的动量守恒、能量守恒定律,针对静质量不为零的粒子,给出一种无需依赖运动学具体时空变换关系而主要在动力学范围内得到相对论质能关系的新推导.