Web-Based Quantum Mechanics Tutorials for Undergraduates

本提案概述了一个项目，旨在开发和测试一系列基于网络的量子力学（理论和应用）教程，以便与大学教授的核心、初高中水平量子理论课程中的更多标准教科书材料结合使用。一套3-4个这样的模块将作为初始“概念验证”资助期的一部分，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可视化等领域。这些新的基于网络的材料将包括各种各样的概念、分析和数值问题和问题，这些问题和问题将允许学生测试、完善和进一步探索（通过家庭作业和链接参考）模块中提供的信息。这些教材还将与各种现有教材密切配合和协调，使教师能够根据个别学生的需要和兴趣量身定制课程。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，构成量子理论基础的经典实验测试，以及现代数学方法，扩展和扩展标准课程中的材料。虽然这些材料主要是为高年级本科生设计的，但为了探究教学问题，如学生在本科生涯中对量子力学概念的理解是如何发展的，学生在不同的发展阶段如何使用基于网络的材料，这些材料将在选修现代物理课程的大二学生以及研究生一年级的学生中进行测试。以及越来越复杂的材料（可能需要学生花更长的时间做家庭作业）是如何被学生利用在网络教学的环境中。

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.