论文标题
非线性对称对称理论的精确解决方案II：一个和两个镜像系统
Exact Solutions to Non-Linear Symmetron Theory II: One and Two Mirror Systems
论文作者
论文摘要
在真空和物质中，在一个或两个镜像系统的情况下，我们在存在一个或两个镜像系统的情况下，在存在一个或两个镜像系统的情况下，将确切的分析解决方案得出。这补充了在上一篇文章[1]中进行的类似分析，其中对称子在真空中自发损坏，但在物质中处于对称阶段。同样，一维运动方程式是完全用于系统的，其解决方案是根据雅各比椭圆函数表示的。在两个平行镜像的情况下，运动方程在这种情况下也提供了一组离散的解决方案，其节点和能量数量增加。本文获得的溶液可应用于QBOUNCE实验，中子干涉法和对孔Nex实验中诱导的“ casimir力”的计算，并允许将研究扩展到迄今为止在对称元素参数空间中迄今无法可用的区域。
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.
