计算量子散射的含吸收势的赝时Schroedinger方程
Pseudo-time Schroedinger equation with absorbing potential for quantum scattering calculations
摘要：
具有能量依赖型复吸收势的散射系统的薛定谔方程，通过对能量依赖性的特殊选择，可以归结为离散伪时间关联函数的谐波反演问题。本文还导出了一个有效的格林函数矩阵元公式。由于到时间2t的精确传播可以仅用t个实矩阵矢量乘积来完成，这给出了一个前所未有的有效方案，用于精确计算可能非常大的系统的量子谱。
英文摘要：
The Schroedinger equation with an energy-dependent complex absorbing potential, associated with a scattering system, can be reduced for a special choice of the energy-dependence to a harmonic inversion problem of a discrete pseudo-time correlation function. An efficient formula for Green's function matrix elements is also derived. Since the exact propagation up to time 2t can be done with only t real matrix-vector products, this gives an unprecedently efficient scheme for accurate calculations of quantum spectra for possibly very large systems.
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。
