标题： 具有实标量场与依赖时间的Dirichlet表面在d+1维耦合的量子耗散效应 显示英文标题

标题： Quantum dissipative effects for a real scalar field coupled to a time-dependent Dirichlet surface in d+1 dimensions

摘要： 我们研究在存在施加狄利克雷边界条件并经历时间依赖运动或变形的镜面情况下，实标量场$\varphi$在$d+1$维空间中的动力学卡西米尔效应（DCE）。 通过微扰方法，我们将镜面表面$\Sigma$相对于超平面的偏差展开，直至四阶。 推导了由运动引起的粒子对产生概率的一般表达式，并分析了时空维度以及四阶项引入的非线性效应的影响。 显示英文摘要

摘要： We study the Dynamical Casimir Effect (DCE) for a real scalar field $\varphi$ in $d+1$ dimensions, in the presence of a mirror that imposes Dirichlet boundary conditions and undergoes time-dependent motion or deformation. Using a perturbative approach, we expand in powers of the deviation of the mirror's surface $\Sigma$ from a hyperplane, up to fourth order. General expressions for the probability of pair creation induced by motion are derived, and we analyze the impact of space-time dimensionality as well as of the non-linear effects introduced by the fourth-order terms.