arrow
返回

Basis Set Generation for Quantum Dynamics Simulations Using Simple Trajectory-Based Methods

delete2014-12-05
delete17
PRE
AI
M
Maximilian A. C. Saller
S
Scott Habershon *
DOI:10.1021/ct500657fdelete
delete原文链接
delete原文求助
delete分享
delete收藏
摘要

摘要

En 中文
Methods for solving the time-dependent Schrodinger equation generally employ either a global static basis set, which is fixed at the outset, or a dynamic basis set, which evolves according to classical-like or variational equations of motion; the former approach results in the well-known exponential scaling with system size, while the latter can suffer from challenging numerical problems, such as singular matrices, as well as violation of energy conservation. Here, we suggest a middle road: building a basis set using trajectories to place time-independent basis functions in the regions of phase space relevant to wave function propagation. This simple approach, which potentially circumvents many of the problems traditionally associated with global or dynamic basis sets, is successfully demonstrated for two challenging benchmark problems in quantum dynamics, namely, relaxation dynamics following photoexcitation in pyrazine, and the spin Boson model.
Keyword:
NONADIABATIC MOLECULAR-DYNAMICS
DEPENDENT SCHRODINGER-EQUATION
INITIAL-VALUE REPRESENTATION
COHERENT STATES
COMPLEX-SYSTEMS
HYBRID APPROACH
SPAWNING METHOD
PHASE-SPACE
MODEL
APPROXIMATION
AI总结

AI总结

对已上传原文的论文进行重点信息的提取,主要内容包括:简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。

期刊

Journal of Chemical Theory and Computation 封面图
Journal of Chemical Theory and Computation
IF:
5.5
论文数:
1.1W
被引数:
5.4W

机构

U
University of Warwick
学者数:
2.2W
论文数: 2.2W
被引数: 85
引用论文

引用论文

err分享
err收藏
URODILATIN (INN: ULARITIDE) AS A NEW DRUG FOR THE THERAPY OF ACUTE RENAL FAILURE FOLLOWING CARDIAC SURGERY
err2007-06-28
err0
PREAI
errMarkus Meyer; Karsten Wiebe; Thorsten Wahlers; Dieter Zenker; Frank‐Peter Schulze; Peter Michels; Wolf‐Georg Forssmann
err分享
err收藏
Concerted Action of Lactate Oxidase and Pyruvate Oxidase in Aerobic Growth of Streptococcus pneumoniae : Role of Lactate as an Energy Source
err2008-05-15
err0
errOAAI
errHiroaki Taniai; Ken-ichiro Iida; Masanori Seki; Mitsumasa Saito; Susumu Shiota; Hiroaki Nakayama; Shin-ichi Yoshida
err分享
err收藏
Electron and hole mobilities in lightly doped silicon
err1994-04-11
err0
PREAI
errKonstantinos Misiakos; Dimitris Tsamakis
err分享
err收藏
学者 查看更多内容