Ferreira的Hopfions与电磁结的交叉受精
Cross-fertilization of Ferreira's Hopfions And Electromagnetic Knots
摘要：
研究了共形非线性$σ$模型的Ferreira Hopf孤子与Ra $\tilde{\rm{n}}$ ada等人发现的电磁结之间的相互关系。结果表明，电磁结产生的共形非线性$σ$模型的精确解不同于Ferreira得到的。反之，讨论了Ferreira解实现磁结的可能性.比较了这两种结的能量。研究了磁结的电荷分布和电流密度的结构。
英文摘要：
The interrelation between Ferreira's Hopf solitons of a conformal nonlinear $σ$ model and the electromagnetic knots found by Ra$\tilde{\rm{n}}$ada et al. is investigated. It is shown that the electromagnetic knots yield exact solutions of the conformal nonlinear $σ$ model different from those obtained by Ferreira. Conversely, It is discussed that Ferreira's solutions realize magnetic knots. The energy associated with these two kinds of knots are compared. The structure of the electric charge distribution and the electric current density associated with the magnetic knots is investigated.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
