论文标题
$δ$ function耦合的过渡时间估计两个状态问题：一个可解决的模型
Transition time estimation for $δ$-function coupling in two state problem: An analytically solvable model
论文作者
论文摘要
我们提出了一种简单的方法来计算两态散射问题中的过渡时间，其中两个常数电位由Delta函数电位$ v_ {12} = v_ {21} =k_0Δ（x）$耦合。得出了过渡$τ$的确切分析表达式。我们注意到$τ$明确取决于第二个州的势能以及事件能量和耦合强度。我们还从$τ$的派生表达中观察到，根据初始能量的不同，在单个状态等效描述中，耦合电势可能像透明或不透明的介质一样行为。
We propose a simple method to calculate transition time in a two-state scattering problem, where two constant potentials are coupled by a delta function potential $V_{12}=V_{21}=k_0 δ(x)$. The exact analytical expression for the time of transition $τ$ is derived. We notice $τ$ explicitly depends on the second state's potential energy along with the incident energy and coupling strength. We also observe from the derived expression of $τ$ that depending on the initial energy, the coupling potential could behave like a transparent or opaque medium to the incident wave in a single state equivalent description.
