Dirac方程的次解与WIMP暗物质

Dirac方程和Duffin-Kemmer-Petiau方程的超对称容度

Supersymmetric content of the Dirac and Duffin-Kemmer-Petiau equations

我们研究的Dirac和Duffin-Kemmer-Petiau方程在我们以前的论文中描述的子解。证明了Duffin-Kemmer-Petiau方程的子解和Dirac方程的子解服从同一个Dirac方程，且具有某种内建投影算子.这个协变方程可以被称为超对称的，因为它有玻色子和费米子的自由度。

狄拉克方程的分裂：纵向势的情形

Splitting the Dirac equation: the case of longitudinal potentials

最近，我们证明了自由Duffin-Kemmer-Petiau方程和Dirac方程的某些子解服从同一个Dirac方程，其中含有某些内建投影算子。本文研究相互作用情形下的Dirac方程。证明了纵向外场中的狄拉克方程也可以分裂成两个协变子方程。

Qualitative properties of solutions to semilinear elliptic equations from the gravitational Maxwell Gauged O(3) Sigma model

This article is devoted to the study of the following semilinear equation with measure data which originates in the gravitational Maxwell gauged $O(3)$ sigma model, $$-Δu + A_0(\prod^k_{j=1}|x-p_j|^{2n_j} )^{-a} \frac{e^u}{(1+e^u)^{1+a}} = 4π\sum_{j=1}^k n_jδ_{p_j} - 4π\sum^l_{j=1}m_jδ_{q_j} \quad{\rm in}\;\; \mathbb{R}^2.\qquad(E)$$ In this equation the $\{δ_{p_j}\}_{j=1}^k$ (resp. $\{δ_{q_j}\}_{j=1}^l$ ) are Dirac masses concentrated at the points $\{p_j\}_{j=1}^k$, (resp. $\{q_j\}_{j=1}^l$), $n_j$ and $m_j$ are positive integers, and $a$ is a nonnegative real number. We set $ N=\sum^k_{j=1}…