麦克斯韦方程组的有限能量超光速解

中微子的质量谱

The Mass Spectrum of Neutrinos

In a previous paper we showed that Weyl equation possess superluminal solutions and moreover we showed that those solutions that are eigenstates of the parity operator seem to describe a coupled pair of a monopole anti-monopole system. This result suggests to look for a solution of Maxwell equation \partialF^{\infty} =-gJ with a current J as source and such that the Lorentz force on the current is null. We first identify a solution where J=γ^{5} J_{m} is a spacelike field (even if F is not a superluminal solution of the homogeneous Maxwell equation). More surprisingly we find that there exists…

液滴形波：X形波的因果有限支撑类似物

Droplet-shaped waves: Causal finite-support analogs of X-shaped waves

超光速（超音速）点状源沿直线无限移动的稳态X形波产生的模型被扩展到一个更现实的因果场景的源脉冲发射在时间为零，并以恒定的超光速直线传播。在无限短脉冲（delta）的情况下，新的模型产生的解析解，对应于传播不变的X形波被一个液滴形的支持，它永远沿着传播和横向扩展，从而趋于液滴形波的X形的一个剪切。

带自旋粒子的二维Maxwell--Lorentz方程的孤子全局吸引性

Global attraction to solitons for 2D Maxwell--Lorentz equations with spinning particle

该研究针对带自旋粒子的二维Maxwell--Lorentz系统，利用角动量守恒证明了其所有有限能量解均存在向稳态孤子型解收敛的全局吸引特性。

Time Global Finite-Energy Weak Solutions to the Many-Body Maxwell-Pauli Equations

We study the quantum mechanical many-body problem of $N$ nonrelativistic electrons interacting with their self-generated classical electromagnetic field and $K$ static nuclei. The system of coupled equations governing the dynamics of the electrons and their self-generated electromagnetic field is referred to as the many-body Maxwell-Pauli equations. Here we construct time global, finite-energy, weak solutions to the many-body Maxwell-Pauli equations under the assumption that the fine structure constant $α$ and the atomic numbers are not too large. The particular assumptions on the size of $α$ …

麦克斯韦-玻恩-因费尔德理论：有限能量电点电荷的存在性及单极子与双荷子的不存在性

The Maxwell--Born--Infeld Theory: Presence of Finite-Energy Electric Point Charge and Absence of Monopole and Dyon

本文构建了一种插值麦克斯韦与玻恩-因费尔德理论的非线性电动力学理论，发现其能容纳有限能量电点电荷但无法容纳单极子与双荷子，展现电磁不对称性，并估算了电子半径。

三维非线性Maxwell-Schroedinger系统与量子磁流体力学

Nonlinear Maxwell-Schroedinger system and Quantum Magneto-Hydrodynamics in 3D

受量子等离子体动力学中一些模型的启发，本文研究了具有幂型非线性项的Maxwell-Schrödinger系统。证明了$H^2(\mathbb{R}^3)\times H^{3/2}(\mathbb{R}^3)$的局部适定性和有限能量弱解的整体存在性，并将这些结果应用于量子磁流体动力学系统有限能量弱解的分析.