变形孤子静态应力的确定
Determining Static Stresses of Deformed Solitons
摘要:
基于集体变量法的变分方法,协变地导出了依赖于任意一组集体变量的准静态孤立子的近似方程。精确地确定了由内孤子模激发产生的形变$Φ^4$ -扭结的场位形和静态应力。以非线性Klein-Gordon系统为例,考虑了大距离下的扭结相互作用势.本文讨论了一种一般的方法来精确地确定整个物理上可允许的双孤子组态的孤子间势。
英文摘要:
An equation for the quasi-static soliton ansatz depending on an arbitrary set of collective variables is covariantly derived on the basis of the variational approach to the method of collective variables. The field configuration and the static stresses of the deformed $Φ^4$-kink that are produced by the excitation of the internal soliton mode are exactly determined. The kink interaction potential at large distances is considered for the example of the nonlinear Klein-Gordon system. A general approach to the problem of exactly determining the intersoliton potential for the entire set of physically admissible two-soliton configurations is discussed.
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。