标题： 线性势中的斯塔克效应 显示英文标题

标题： The Stark effect in linear potentials

摘要： 我们研究了斯特克效应（由于外部恒定力引起的能谱的二阶位移），针对由线性势描述的两个一维量子力学模型系统，即所谓的量子弹跳器（定义为V(z) = Fz当z>0时，而当z<0时V(z)为无限大）和对称线性势（由V(z) = F|z|给出）。 我们展示了如何直接利用艾里函数解的最明显性质和简单的泰勒展开，得出这两个系统中斯特克位移的闭合形式结果。 这些精确结果随后与其他近似技术进行比较，例如微扰理论和WKB方法。 这些表达式增加了模型量子力学系统中斯特克效应的闭合形式描述的少量现有结果。 显示英文摘要

摘要： We examine the Stark effect (the second-order shift in the energy spectrum due to an external constant force) for two 1-dimensional model quantum mechanical systems described by linear potentials, the so-called quantum bouncer (defined by V(z) = Fz for z>0 and V(z) infinite for z<0) and the symmetric linear potential (given by V(z) = F|z|). We show how straightforward use of the most obvious properties of the Airy function solutions and simple Taylor expansions give closed form results for the Stark shifts in both systems. These exact results are then compared to other approximation techniques, such as perturbation theory and WKB methods. These expressions add to the small number of closed-form descriptions available for the Stark effect in model quantum mechanical systems.