任意维屏蔽库仑势和非谐振子势的统一处理

The Yukawa potential: ground state energy and critical screening

We study the ground state energy and the critical screening parameter of the Yukawa potential in non-relativistic quantum mechanics. After a short review of the existing literature on these quantities, we apply fifth-order perturbation theory to the calculation of the ground state energy, using the exact solutions of the Coulomb potential together with a cutoff on the principal number summations. We also perform a variational calculation of the ground state energy using a Coulomb-like radial wave function and the exact solution of the corresponding minimization condition. For not too large val…

Formation of Anti hydrogen ion in Positronium-Antihydrogen collision with screened Coulomb Potential

The present theoretical work addresses the study of the formation of a positive Antihydrogen ion in a single charge exchange reaction where a positronium ( ground or excited state) interacts with a ground state anti-hydrogen atom, being embedded in a dense Debye plasma. The calculations are carried out in the frame work of a Coulomb Distorted Eikonal Approximation. The result shows that Ps(3S) is the most interesting state to enhance the anti H^+ production at the energy close to the reaction threshold. Regarding the Debye screening, it may be inferred that in lower energy regime, the screenin…

二维变相位法和Levinson定理：对屏蔽库仑势的应用

Variable-phase method and Levinson's theorem in two dimensions: Application to a screened Coulomb potential

可变相位的方法适用于散射和束缚态在一个有吸引力的库仑势，静态屏蔽的二维（2D）电子气。利用Levinson定理的二维公式计算束缚态，发现了屏蔽长度与束缚态个数之间的简单关系，随着屏蔽长度的增加，具有不同量子数的束缚态集合出现简并.

反常光子同位旋混合和瞬时库仑效应对致密物质热力学的影响

Unusual photon isospin mixing and instantaneous Coulomb effects on the thermodynamics of compact matter

基于相对论连续介质量子多体理论，采用双光子反项方法建立了隐局域对称性理论。通过分析电磁光子引起的洛伦兹矢量与标量在介质中的同位旋混合，讨论了带电点状电子与复合质子之间的电磁屏蔽效应以及电磁欠屏蔽效应.除了通常的屏蔽结果外，主要结论是，同电荷集体电子之间的有效振荡瞬时库仑势对状态方程贡献了很大的负项。这种违反直觉的类荷吸引力是由带相反电荷的重子超流背景的调制因子引起的。在紧凑的库仑约束环境中，集体电子之间会产生反常的长距离量子拖曳效应。在特定的稀相区，物理过程具有强耦合特性。

Vacuum polarization of planar Dirac fermions by a superstrong Coulomb potential

We study the vacuum polarization of planar charged Dirac fermions by a strong Coulomb potential. Induced vacuum charge density is calculated and analyzed at the subcritical and supercritical Coulomb potentials for massless and massive fermions. For the massless case the induced vacuum charge density is localized at the origin when the Coulomb center charge is subcritical while it has a power-law tail when the Coulomb center charge is supercritical. The finite mass contribution into the induced charge due to the vacuum polarization is small and insignificantly distorts the Coulomb potential onl…

Plane density of induced vacuum charge in a supercritical Coulomb potential

An expression for the density of a planar induced vacuum charge is obtained in a strong Coulomb potential in coordinate space. Treatment is based on a self-adjoint extension approach for constructing of the Green's function of a charged fermion in this potential. Induced vacuum charge density is calculated and analyzed at the subcritical and supercritical Coulomb potentials for massless and massive fermions. The behavior of the obtained vacuum charge density is investigated at long and short distances from the Coulomb center. The induced vacuum charge has a screening sign. Screening of a Coulo…

屏蔽库仑相互作用导致二维不良导体中出现预热化区域

Screening the Coulomb interaction leads to a prethermal regime in two-dimensional bad conductors

本文研究强无序二维电子系统中幂律库仑作用范围对热化的影响，发现α=3时出现类MBL预热化动力学，而α=1时虽呈玻璃态仍热化。