Volume 13, Issue 5
Efficient Grid Treatment of the Time Dependent Schrödinger Equation for Laser-Driven Molecular Dynamics

Fang Li, Xiangying Hao, Xiaogang Li

Commun. Comput. Phys., 13 (2013), pp. 1389-1407.

Published online: 2013-05

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  • Abstract

We present an efficient method to solve the time dependent Schrödinger equation for modeling the dynamics of diatomic molecules irradiated by intense ultrashort laser pulse without Born-Oppenheimer approximation. By introducing a variable prolate spheroidal coordinates and discrete variable representations of the Hamiltonian, we can accurately and efficiently simulate the motion of both electronic and molecular dynamics. The accuracy and convergence of this method are tested by simulating the molecular structure, photon ionization and high harmonic generation of $H_2^+$.

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@Article{CiCP-13-1389, author = {}, title = {Efficient Grid Treatment of the Time Dependent Schrödinger Equation for Laser-Driven Molecular Dynamics}, journal = {Communications in Computational Physics}, year = {2013}, volume = {13}, number = {5}, pages = {1389--1407}, abstract = {

We present an efficient method to solve the time dependent Schrödinger equation for modeling the dynamics of diatomic molecules irradiated by intense ultrashort laser pulse without Born-Oppenheimer approximation. By introducing a variable prolate spheroidal coordinates and discrete variable representations of the Hamiltonian, we can accurately and efficiently simulate the motion of both electronic and molecular dynamics. The accuracy and convergence of this method are tested by simulating the molecular structure, photon ionization and high harmonic generation of $H_2^+$.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.121211.310512a}, url = {http://global-sci.org/intro/article_detail/cicp/7279.html} }
TY - JOUR T1 - Efficient Grid Treatment of the Time Dependent Schrödinger Equation for Laser-Driven Molecular Dynamics JO - Communications in Computational Physics VL - 5 SP - 1389 EP - 1407 PY - 2013 DA - 2013/05 SN - 13 DO - http://doi.org/10.4208/cicp.121211.310512a UR - https://global-sci.org/intro/article_detail/cicp/7279.html KW - AB -

We present an efficient method to solve the time dependent Schrödinger equation for modeling the dynamics of diatomic molecules irradiated by intense ultrashort laser pulse without Born-Oppenheimer approximation. By introducing a variable prolate spheroidal coordinates and discrete variable representations of the Hamiltonian, we can accurately and efficiently simulate the motion of both electronic and molecular dynamics. The accuracy and convergence of this method are tested by simulating the molecular structure, photon ionization and high harmonic generation of $H_2^+$.

Fang Li, Xiangying Hao, Xiaogang Li. (2020). Efficient Grid Treatment of the Time Dependent Schrödinger Equation for Laser-Driven Molecular Dynamics. Communications in Computational Physics. 13 (5). 1389-1407. doi:10.4208/cicp.121211.310512a
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