Web-Based Quantum Mechanics Tutorials for Undergraduates

该提案概述了一个项目，该项目旨在开发和测试一系列基于网络的量子力学教程(理论和应用)，以便与大学教授的核心、初级和高级量子理论课程中更标准的教科书材料一起使用。将制作一套3-4个这样的模块，作为最初的概念证明资金期限的一部分，主题来自现代物理系统、经典量子系统和实验、数学方法和量子现象的可视化。这些基于网络的新材料将包括各种各样的概念性、分析性和数值性问题和问题，使学生能够测试、提炼和进一步探索(通过家庭作业和相关参考)模块中提供的信息。它们还将根据各种现有教科书并与之协调，以便使教师有能力根据个别学生的需要和兴趣调整其课程。使用这些材料的学生将被介绍量子力学在新的科学和技术系统中的现代应用，形成量子理论基础的经典实验测试，以及在标准课程中找到的材料的基础上扩展和延伸的现代数学方法。虽然这些材料主要面向高级本科生，但这些材料将在学习现代物理课程的大二学生和一年级研究生中进行测试，以探索教学问题，例如学生对量子力学概念的理解在本科生涯中是如何发展的，基于网络的材料是如何被处于不同发展阶段的学生使用的，以及越来越复杂的材料(可能需要学生花更长时间做作业练习)是如何在网络交付的背景下被学生利用的。

This proposal outlines a project to develop and test a series of web-based tutorials in quantum mechanics (theory and applications) for use in conjunction with more standard textbook materials in the core, junior-senior level quantum theory courses taught at colleges and universities. A set of 3-4 such modules would be produced as part of an initial 'proof of concept' funding period on topics from the areas Modern Physical Systems, 'Classic' Quantum Systems and Experiments, Mathematical Methods, and Visualization of Quantum Phenomena. These new web-based materials would include a wide variety of conceptual, analytic, and numerical questions and problems which would allow students to test, refine and further explore (via homework and linked references) the information presented in the modules. They would also be keyed to and coordinated with a wide variety of existing textbooks in order to provide instructors with the ability to tailor their courses to meet the needs and interests of individual students. Students making use of these materials would be introduced to modern applications of quantum mechanics in novel scientific and technological systems, classic experimental tests that form the underpinning of quantum theory, and modern mathematical methods, expanding and extending on material found in the standard curriculum. Although intended mostly for advanced undergraduates, these materials would be tested on sophomore level students taking modern physics courses as well as first year graduate students in order to probe pedagogical questions such as how student understanding of quantum mechanics concepts develops over the undergraduate career, how web-based materials are used by students at different stages of their development, and how increasingly more sophisticated material (which may require students to work on homework exercises for longer periods of time) is utilized by students in the context of web delivery.