Configuration interactions constrained by energy density functionals

A new method for constructing a Hamiltonian for configuration interaction calculations with constraints to energies of spherical configurations obtained with energy-density-functional (EDF) methods is presented. This results in a unified model that reproduced the EDF binding-energy in the limit of single-Slater determinants, but can also be used for obtaining energy spectra and correlation energies with renormalized nucleon–nucleon interactions. The three-body and/or density-dependent terms that are necessary for good nuclear saturation properties are contained in the EDF. Applications to binding-energies and spectra of nuclei in the region above ²⁰⁸Pb are given.     

Revisiting Quaternion Dual Electrodynamics

Dual electrodynamics and corresponding Maxwell’s equations (in the presence of monopole only) are revisited from dual symmetry and accordingly the quaternionic reformulation of field equations and equation of motion is developed in simple, compact and consistent manner.     

The one and a half monopoles solution of the SU(2) Yang–Mills–Higgs field theory

Recently we have reported on the existence of finite energy SU(2) Yang–Mills–Higgs particle of one-half topological charge. In this paper, we show that this one-half monopole can co-exist with a ’t Hooft–Polyakov monopole. The magnetic charge of the one-half monopole is of opposite sign to the magnetic charge of the ’t Hooft–Polyakov monopole. However the net magnetic charge of the configuration is zero due to the presence of a semi-infinite Dirac string along the positive z$z$-axis that carries the other half of the magnetic monopole charge. The solution possesses gauge potentials that are singular along the z$z$-axis, elsewhere they are regular. The total energy is found to increase with the strength of the Higgs field self-coupling constant λ$\lambda$. However the dipole separation and the magnetic dipole moment decrease with λ$\lambda$. This solution is non-BPS even in the BPS limit when the Higgs self-coupling constant vanishes.     

An experimental validation of vibro-acoustic prediction by the use of simplified methods

Predicting the vibro-acoustic behaviour of a structure is usually done by using the well established finite element (FE) method and boundary element method. This paper presents a vibro-acoustic prediction case performed on a metal box using less accurate but simplified methods: sub-structuring for the calculation of the dynamic response of the structure, and a monopole distribution for the radiated noise calculation. Both are less accurate but faster methods than previous ones. An experimental validation was performed. It led to the conclusion that these methods give precise results and are sufficient for the pre-design of structures in the low frequency domain. However, this conclusion must be moderated by the fact that in spite of the simplicity of the structure, the FE model had to be adjusted to the experiments to yield to a result close to the experiments.     

A new interpretation of an event attributed to a magnetic monopole

An alternate and a new interpretation is given for the event attributed to a magnetic monopole by Price and coworkers found in an emulsion plastic sandwich stack flown from Sioux City, Iowa, USA on 18 September 1973. The electron pick-up and stripping cross-sections of nuclei ofZ∼70–80 andv∼0.6–0.7c in Lexan polycarbonate are calculated using the formulae given by Nikolaev. It is shown that the corresponding mean free paths are of the order of thickness (∼250μ) of Lexan plastic sheets used by them. In such a case asnapshot of these processes is believed to have been observed in plastic sheets. Monte-Carlo simulations of the event have been made for three values of charges at the top of the main Lexan stack, namelyZ=83, 78 and 70 respectively. The event is thus interpreted as a cosmic ray nucleus ofZ=70–83 andv=0.6–0.7c losing and capturing electrons (mainly the latter) as it passes through the stack. The probability of the occurrence of such an event is estimated by several methods.     

Quantum phase transitions beyond the Landau-Ginzburg paradigm and supersymmetry

We make connections between studies in the condensed matter literature on quantum phase transitions in square lattice antiferromagnets, and results in the particle theory literature on abelian supersymmetric gauge theories in 2 + 1 dimensions. In particular, we point out that supersymmetric U(1) gauge theories (with particle content similar, but not identical, to those of theories of doped antiferromagnets) provide rigorous examples of quantum phase transitions which do not obey the Landau-Ginzburg-Wilson paradigm (often referred to as transitions realizing “deconfined criticality”). We also make connections between supersymmetric mirror symmetries and condensed matter particle-vortex dualities.     

Adiabatic Berry phase in an atom-molecule conversion system

We investigate the Berry phase of adiabatic quantum evolution in the atom-molecule conversion system that is governed by a nonlinear Schrödinger equation. We find that the Berry phase consists of two parts: the usual Berry connection term and a novel term from the nonlinearity brought forth by the atom-molecule coupling. The total geometric phase can be still viewed as the flux of the magnetic field of a monopole through the surface enclosed by a closed path in parameter space. The charge of the monopole, however, is found to be one third of the elementary charge of the usual quantized monopole. We also derive the classical Hannay angle of a geometric nature associated with the adiabatic evolution. It exactly equals minus Berry phase, indicating a novel connection between Berry phase and Hannay angle in contrast to the usual derivative form.     

边界层转捩区声辐射的预报方法研究

对Lighthill剪切应力脉动模型和Liepmann位移厚度脉动模型进行了讨论,在此基础上,本文提出利用Krane偶极子声源模型对Liepmann单极子声源模型进行改进。数值计算结果表明:作为偶极子声源的Lighthill理论剪切应力脉动模型,预报的噪声级偏低;而作为单极子声源的Liepmann模型,预报的噪声级又偏高;本文提出的两种改进模型预报的噪声级则与Lauchle实验值的一致性较好。     

充液圆槽中单极声波仪器响应数值模拟与分析

为了实现声波测井仪器工作状态的快速检测,工程人员通常将仪器水平放置在载液圆槽中进行发射和接收测试,然而对于这种非轴对称结构中的声波导传播规律尚缺乏数值模拟和理论分析,因此迄今仍难以形成有效的测试规范和标准。本文利用三维有限差分算法模拟了载液圆槽中的单极测井仪器声波响应,对比了不同的圆槽物理、几何参数以及液体性质条件下单极子声场首波的幅度和相慢度大小。分析结果表明,单极仪器激发的首波慢度仅由圆槽的物理特征所决定,与圆槽几何参数、声源频率及液体特性无关;而首波幅度大小则与圆槽几何尺寸、圆槽和液体弹性波速等诸因素具有明确的对应关系。本研究结果可为用于仪器测试或速度刻度的圆槽模型井优化设计提供理论依据。