周期结构中定态薛定谔方程的完美匹配层
Perfectly matched layers for the stationary Schrodinger equation in a periodic structure
University of Jyväskylä（于韦斯屈莱大学）
AI总结：
针对周期结构中具有解析慢衰减势的定态薛定谔方程，构造了完美匹配吸收层，证明了有限长完美匹配层问题的唯一可解性，并指出该问题解逼近原问题解的误差随完美匹配层长度趋于无穷而指数衰减。
摘要：
我们为周期结构中具有解析慢衰减势的定态薛定谔方程构造了一个完美匹配吸收层。我们证明了有限长完美匹配层问题的唯一可解性，并表明该问题的解逼近原问题的解，其误差随完美匹配层长度趋于无穷而指数趋于零。
英文摘要：
We construct a perfectly matched absorbing layer for stationary Schrodinger equation with analytic slowly decaying potential in a periodic structure. We prove the unique solvability of the problem with perfectly matched layer of finite length and show that solution to this problem approximates a solution to the original problem with an error that exponentially tends to zero as the length of perfectly matched layer tends to infinity.
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。
