We study the pair creation process of bosonic systems in a time-independent potential well by numerically solving the Klein–Gordon equation. In order to study the effect of multiple bound states on the creation process, broad widths of the potential well are chosen. The energy eigenvalues are calculated by diagnosing the non-Hermitian Hamiltonian with applied fields, and the exponential growing factor of the number of created pairs is in accordance with twice of the maximum imaginary part among all the bound states. By investigating the interaction between the bound states and the negative energy continua in spectrum, the competition effect of multiple bound states in a bosonic pair creation process is discussed.

我们通过数值求解 Klein-Gordon 方程来研究时间无关势阱中玻色系统对的产生过程。为了研究多个束缚态对创建过程的影响，选择了宽的势阱宽度。能量特征值是通过用外加场诊断非厄米哈密顿量来计算的，所创建对数的指数增长因子与所有束缚态中最大虚部的两倍一致。通过研究束缚态与谱中负能量连续体之间的相互作用，讨论了多个束缚态在玻色对产生过程中的竞争效应。