PySyComp: A Symbolic Python Library for the Undergraduate Quantum Chemistry Course

IF 2.5 3区 教育学 Q2 CHEMISTRY, MULTIDISCIPLINARY
Elizabeth Stippell, Alexey V. Akimov* and Oleg V. Prezhdo*, 
{"title":"PySyComp: A Symbolic Python Library for the Undergraduate Quantum Chemistry Course","authors":"Elizabeth Stippell,&nbsp;Alexey V. Akimov* and Oleg V. Prezhdo*,&nbsp;","doi":"10.1021/acs.jchemed.2c00974","DOIUrl":null,"url":null,"abstract":"<p >We report an educational tool for the upper level undergraduate quantum chemistry or quantum physics course that uses a symbolic approach via the PySyComp Python library. The tool covers both time-independent and time-dependent quantum chemistry, with the latter rarely considered in the foundations course due to topic complexity. We use quantized Hamiltonian dynamics (QHD) that provides a simple extension of classical dynamics and captures key quantum effects. The PySyComp library can compute various concepts regarding the fundamental postulates of quantum mechanics, including normalized wave functions, expectation values, and commutators, which are at the core of solving the Heisenberg equations of motion. It provides a tool for students to experiment with simple models and explore the key quantum concepts, such as zero-point energy, tunneling, and decoherence.</p>","PeriodicalId":43,"journal":{"name":"Journal of Chemical Education","volume":"100 10","pages":"4077–4084"},"PeriodicalIF":2.5000,"publicationDate":"2023-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Chemical Education","FirstCategoryId":"92","ListUrlMain":"https://pubs.acs.org/doi/10.1021/acs.jchemed.2c00974","RegionNum":3,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

Abstract

We report an educational tool for the upper level undergraduate quantum chemistry or quantum physics course that uses a symbolic approach via the PySyComp Python library. The tool covers both time-independent and time-dependent quantum chemistry, with the latter rarely considered in the foundations course due to topic complexity. We use quantized Hamiltonian dynamics (QHD) that provides a simple extension of classical dynamics and captures key quantum effects. The PySyComp library can compute various concepts regarding the fundamental postulates of quantum mechanics, including normalized wave functions, expectation values, and commutators, which are at the core of solving the Heisenberg equations of motion. It provides a tool for students to experiment with simple models and explore the key quantum concepts, such as zero-point energy, tunneling, and decoherence.

Abstract Image

PySyComp:一个面向本科生量子化学课程的符号Python库
我们报告了一种用于高级本科生量子化学或量子物理课程的教育工具,该工具通过PySyComp Python库使用符号方法。该工具涵盖了与时间无关和与时间相关的量子化学,由于主题的复杂性,后者很少在基础课程中考虑。我们使用量子化哈密顿动力学(QHD),它提供了经典动力学的简单扩展,并捕获了关键的量子效应。PySyComp库可以计算有关量子力学基本公设的各种概念,包括归一化波函数、期望值和交换子,这些都是求解海森堡运动方程的核心。它为学生提供了一个工具,让他们用简单的模型进行实验,并探索关键的量子概念,如零点能量、隧穿和退相干。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Journal of Chemical Education
Journal of Chemical Education 化学-化学综合
CiteScore
5.60
自引率
50.00%
发文量
465
审稿时长
6.5 months
期刊介绍: The Journal of Chemical Education is the official journal of the Division of Chemical Education of the American Chemical Society, co-published with the American Chemical Society Publications Division. Launched in 1924, the Journal of Chemical Education is the world’s premier chemical education journal. The Journal publishes peer-reviewed articles and related information as a resource to those in the field of chemical education and to those institutions that serve them. JCE typically addresses chemical content, activities, laboratory experiments, instructional methods, and pedagogies. The Journal serves as a means of communication among people across the world who are interested in the teaching and learning of chemistry. This includes instructors of chemistry from middle school through graduate school, professional staff who support these teaching activities, as well as some scientists in commerce, industry, and government.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信