基于光子结构猜想的波动性现象建模仿真研究

综合龚祖同院士的光子类氢原子结构论和北大俎栋林教授的光子电磁场结构论,提出了两种结构相统一的理论猜想.基于猜想对单缝衍射、双缝干涉以及多缝干涉中光强与光子尺度、细缝宽度等参数的关系进行建模,并以双缝干涉为例进行了仿真实验.通过实验结果与经典波动光学中光强分布的对比,验证了模型的合理性.     

具有相位阻尼的Milburn主方程控制的双光子JC模型

该文利用超算子技术求出了相位阻尼下非共振双光子JC模型主方程的解析解，研究了其相位阻尼对光子数分布振荡，原子数反转与恢复和亚泊松光子分布等非经典效应的影响。研究表明：相位阻尼能抑制原子反转与恢复和腔场的非经典效应。     

基于线性偏振光子对学说的数学建模与仿真

北京大学学者猜想单个光子只有左旋光子、右旋光子两种.一个左旋光子与一个右旋光子可以组成一个线性偏振光子对.在合理假设基础上,从光的波粒二象性的认识出发,基于这种猜想分别对双缝干涉、单缝衍射、多缝衍射等实验建立光子的运动方程,利用复数积分法得到相应的光强分布模型.并用Matlab软件进行数学仿真,得到猜想的实验结果与波恩的实验结果相符合.     

基于改进节点重要度引力模型的航路网拥堵节点识别

航路网络存在一些关键航路点对系统整体具有重要控制作用,而有效辨识这些重要节点对缓解空中交通拥堵,提高航路运行效率具有极大意义.以复杂网络理论为基础,从网络视角结合中心度及节点服务能力通过改进传统引力模型进行节点重要度评估;然后基于改进节点重要度引力模型进行航路网络拥堵节点识别仿真,并将结果与传统介数法进行对比验证.研究表明:改进的引力模型识别的重要节点,不仅具有较大的中心度,且较多位于航路网络流量较大位置;基于引力模型识别航路网络节点重要度的准确率更高,在提高网络通行率基础上更及时地识别航路网络易拥堵节点,对预防节点失效、减少航路网络拥堵具有积极作用.     

光子结构猜想的仿真验证

从龚祖同院士的类氢光子结构模型和北大学者的电磁场粒子模型出发,提出了等效作用和动态光子层的概念,并在此基础上,利用蒙特卡罗法和伽尔顿板法,对光的干涉、衍射现象进行了定量分析和仿真实验,验证了光子结构猜想的正确性.     

考虑引力因素与时间满意度的充电站竞争性选址问题研究

充电站有效合理的布局和规划对提高充电用户满意度以及电动汽车的推广都起着重要的作用.在考虑用户满意度的基础上,同时论证了充电站与充电需求之间的相互吸引关系,通过引入引力模型得到充电站与充电需求间的引力模型函数,构建了考虑时间满意度与引力因素的竞争性充电站选址模型.最后,利用MATLAB完成实例仿真的求解,结果表明选址模型与实际情况相符合,为充电站的竞争性选址问题提供了一些参考.     

光的波粒二象性探索

光具有波粒二象性,但很难从光的某一特定现象中同时看到这两种性质.如果能用粒子性解释波动性,光的两种性质就能得到完美的统一.分别对龚祖同光子模型、前进电磁场光子模型进行数学建模和MATLAB仿真,并与已有的实验结果比较.发现两个模型都存在不足,进而提出改进的光子模型,从粒子的角度,对展现光的波动性质的干涉、衍射以及偏振现象进行解释.     

原子核量子能谱的统计性质

以原子核为例,通过观察和分析量子谱的统计性质,研究有限物理体系中量子混沌的一些问题.首先给出球形原子核中量子谱显示的有序-混沌现象随激发能变化的实验数据.而后描述了原子核有序混沌相变现象与原子核形变以及原子核转动的依赖关系,并讨论了量子体系中的对效应对有序混沌相变的影响.最后,用有序-混沌相变的概念解释和理解了核物理中一些重要的实验现象.     

TW(1012W)飞秒激光作用下的超连续光谱的实验研究

利用飞秒脉冲啁啾放大系统所产生的TW级飞秒强光脉冲,以液体介质为研究对象,研究了不同介质长度(作用长度)、不同泵浦强度、介质的基频和倍频飞秒光脉冲的超连续光谱特性,在液体中实现了具有光谱“平台”效应的高转换率宽光谱,边缘光谱强度仅低于中心1个数量级,同时还研究了超连续谱形成过程中自相位调制(SPM)效应与四光子参量效应的作用。     

基于动态引力常数和种群递减的引力搜索算法

为进一步增强标准引力搜索算法的全局搜索能力及克服其早熟收敛等缺点,提出了一种基于动态引力常数和种群递减的引力搜索算法.首先,所提算法通过动态调整引力常数,有效地平衡算法的全局搜索和局部开发能力;其次,为提高算法的性能,对种群规模进行动态递减调整,从而有效地加强了算法后期的收敛速度.最后,用30个CEC2014测试函数的仿真实验结果与3种引力搜索算法的比较说明所提算法收敛速度快,寻优能力强.     

Asymptotic electromagnetic fields in non-relativistic QED: The problem of existence revisited

This paper is devoted to the scattering of photons by charged particles in models of non-relativistic quantum mechanical matter coupled minimally to the soft modes of the quantized electromagnetic field. We prove existence of scattering states involving an arbitrary number of asymptotic photons of arbitrarily high energy. Previously, upper bounds on the photon energies seemed necessary in the case of n>1 asymptotic photons and non-confined, non-relativistic charged particles.     

Some aspects of polaritons and plasmons in materials

We have studied the interaction of optical phonons with photons. So, we have calculated the coupled modes of photons and transverse optical phonons and likewise, the dielectric function. We have found an alternative relation of the splitting between the frequencies of the longitudinal optical (LO) and transverse optical (TO) phonons in crystals. Likewise, we have studied the plasmon resonance frequency. We have determined the phonon–photon and the plasmon–photon coupling constant in ionic crystals and in metals, respectively, which is very close to the elastic force constant, and we have evaluated the bulk modulus. Further we have applied these results to tetrahedrally bonded III–V semiconductors.     

The Spacetime Algebra Approach to Massive Classical Electrodynamics with Magnetic Monopoles

Maxwell’s equations with massive photons and magnetic monopoles are formulated using spacetime algebra. It is demonstrated that a single nonhomogeneous multi-vectorial equation describes the theory. Two limiting cases are considered and their symmetries highlighted: massless photons with magnetic monopoles and finite photon mass in the absence of monopoles. Finally, it is shown that the EM-duality invariance is a symmetry of the Hamiltonian density (for Minkowskian spacetime) and Lagrangian density (for Euclidean 4-space) that reflects the signature of the respective metric manifold.     

基于光的波粒二象性猜想的数学仿真

从现有的经典物理光学理论和专业实验结果出发,运用数学思维,综合光子理论,建立了基于光的波粒二象性猜想的四种数学模型.针对光微子碰撞猜想,建立了基于光子碰撞后概率分布的模型.针对光子作为电磁场自我旋转的猜想,分别从专业证明和数学模型分析方面建立了电磁场偏转模型和光子旋转模型.最后建立了我们自己的猜想模型——光子蜂窝网络模型.该模型引入了"光子域"、"光子电力"、"光子磁力"、"光子键"等概念,从五个子模型出发,定性解释了四个光学现象,合理回答了题目提出的三大问题,并定量证明了衍射光强分布.     

Weberized Mumford-Shah Model with Bose-Einstein Photon Noise

Human vision works equally well in a large dynamic range of light intensities, from only a few photons to typical midday sunlight. Contributing to such remarkable flexibility is a famous law in perceptual (both visual and aural) psychology and psychophysics known as Weber's Law. The current paper develops a new segmentation model based on the integration of Weber's Law and the celebrated Mumford-Shah segmentation model (Comm. Pure Appl. Math., vol. 42, pp. 577-685, 1989). Explained in detail are issues concerning why the classical Mumford-Shah model lacks light adaptivity, and why its "weberized" version can more faithfully reflect human vision's superior segmentation capability in a variety of illuminance conditions from dawn to dusk. It is also argued that the popular Gaussian noise model is physically inappropriate for the weberization procedure. As a result, the intrinsic thermal noise of photon ensembles is introduced based on Bose and Einstein's distributions in quantum statistics, which turns out to be compatible with weberization both analytically and computationally. The current paper focuses on both the theory and computation of the weberized Mumford-Shah model with Bose-Einstein noise. In particular, Ambrosio-Tortorelli's Γ-convergence approximation theory is adapted (Boll. Un. Mat. Ital. B, vol. 6, pp. 105-123, 1992), and stable numerical algorithms are developed for the associated pair of nonlinear Euler-Lagrange PDEs.     

Generalized dicke model:δm=±2 transitions

The theory of two-atom quantum transitions with frequency doubling of the emitted or absorbed photons in coherent optical processes is constructed. Third-order quantum electrodynamics (QED) effects, including virtual photon exchange and emission (absorption) of a double frequency real photon, are considered. In these effects, the two parts of the interaction accounting for intermediate states with positive or negative frequencies in the atomic spectrum are separated. Correspondingly, the electron and positron polarizations of the medium leading to the appearance of two mechanisms of frequency doubling with different physical properties are distinguished. In this paper, a generalized Dicke model for a system of N two-level atoms is used to describe coherent processes in the electric dipole approximation, allowing quantum transitions with M=±1, ±2, where M is the half-difference of the resonance level populations in the atoms. In the framework of this model, a formula for the intensity of quantum transitions with M=±2 is obtained.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 106, No. 1, pp. 145–159, January, 1996.