非线性对称理论II的精确解：单镜和双镜系统
Exact Solutions to Non-Linear Symmetron Theory II: One and Two Mirror Systems
摘要：
在真空和物质中均存在自发破缺相的情况下，我们导出了单镜或双镜系统存在下的哈密顿场论方程的精确解析解。这补充了在以前的文章中进行的类似分析[1]，其中电子在真空中处于自发破缺相，但在物质中处于对称相。在这里，再次，一维运动方程的积分精确的两个系统和他们的解决方案表示的雅可比椭圆函数。在两个平行镜的情况下，运动方程在这种情况下也提供了一组离散的解，其中节点和能量的数量增加。本文得到的解决方案可以应用于qBOUNCE实验，中子干涉测量和计算的介子场诱导的“卡西米尔力”在Cannex实验，并允许扩展调查到迄今为止无法在介子参数空间的区域。
英文摘要：
We derive the exact analytical solutions to the symmetron field theory equations in the presence of a one or two mirror system in the case of a spontaneously broken phase in vacuum as well as in matter. This complements a similar analysis performed in a previous article [1], in which the symmetron is in the spontaneously broken phase in vacuum but in the symmetric phase in matter. Here again, the one dimensional equations of motion are integrated exactly for both systems and their solutions are expressed in terms of Jacobi elliptic functions. In the case of two parallel mirrors the equations of motion provide also in this case a discrete set of solutions with increasing number of nodes and energies. The solutions obtained herein can be applied to qBOUNCE experiments, neutron interferometry and to the calculation of the symmetron field induced "Casimir force" in the Cannex experiment and allow to extend the investigation to hitherto unavailable regions in symmetron parameter space.
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。
