实能谱和复能谱中的Richardson解
Richardson's solutions in the real- and complex-energy spectrum
摘要：
常数配对哈密顿量拥有理查德森在六十年代初提出的精确解。这种精确解的配对哈密顿恢复兴趣在90年代末。离散复能态已被包括在Richardson的解决方案由长谷川等人[1]。在这方面的贡献，我们重新制定的问题，确定确切的本征能量的配对哈密顿量时，连续包括通过单粒子能级密度。通过将方程解析延拓到复能量平面，得到了具有离散复能态的解。这个公式可以应用于松散的束缚系统，其中与能量的连续谱的相关性是非常重要的。给出了多体本征能如何表现为对能之和的一些细节。
英文摘要：
The constant pairing Hamiltonian holds exact solutions worked out by Richardson in the early Sixties. This exact solution of the pairing Hamiltonian regained interest at the end of the Nineties. The discret complex-energy states had been included in the Richardson's solutions by Hasegawa et al. [1]. In this contribution we reformulate the problem of determining the exact eigenenergies of the pairing Hamiltonian when the continuum is included through the single particle level density. The solutions with discret complex-energy states is recovered by analytic continuation of the equations to the complex energy plane. This formulation may be applied to loosely bound system where the correlations with the continuum-spectrum of energy is really important. Some details are given to show how the many-body eigenenergy emerges as sum of the pair-energies.
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。
