Solving the time-dependent Schrödinger equation by combining smooth exterior complex scaling and Arnoldi propagator

作     者：Shun Wang Wei-Chao Jiang 王顺;姜维超

作者机构：College of Physics and Optoelectronic EngineeringShenzhen UniversityShenzhen 518060China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2022年第31卷第1期

页      面：227-234页

核心收录：

学科分类：080901[工学-物理电子学] 07[理学] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 080401[工学-精密仪器及机械] 070203[理学-原子与分子物理] 0804[工学-仪器科学与技术] 0803[工学-光学工程] 0702[理学-物理学] 

基　　金：the National Natural Science Foundation of China(Grant Nos.12074265 and 11804233) 

主　　题：time-dependent Schrödinger equation(TDSE) smooth exterior complex scaling(SECS)absorb-ing method Arnoldi propagator 

摘      要：Abstract We develop a highly efficient scheme for numerically solving the three-dimensional time-dependent Schrödinger equation of the single-active-electron atom in the field of laser pulses by combining smooth exterior complex scaling(SECS)absorbing method and Arnoldi propagation *** combination has not been reported in the *** proposed scheme is particularly useful in the applications involving long-time wave *** SECS is a wonderful absorber,but its application results in a non-Hermitian Hamiltonian,invalidating propagators utilizing the Hermitian symmetry of the *** demonstrate that the routine Arnoldi propagator can be modified to treat the non-Hermitian *** efficiency of the proposed scheme is checked by tracking the time-dependent electron wave packet in the case of both weak extreme ultraviolet(XUV)and strong infrared(IR)laser *** perfect absorption and stable propagation are observed.