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A pedagogical approach to introducing the honeycomb lattice gauge theory 介绍蜂巢格规理论的教学方法
IF 0.7 4区 教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES Pub Date : 2023-12-08 DOI: 10.1088/1361-6404/ad1397
Yi-Fen Zhao, Fei-Jie Huang
A pedagogical approach to introducing the honeycomb lattice gauge theory is presented. Lattice gauge theory, which is an important theory for understanding strongly correlated systems, is a significant topic covered in the quantum field theory course for graduate students. Typically, quantum field theory textbooks introduce lattice gauge theory using the square lattice. However, beginners often find it challenging to grasp such an abstract theory only through the example of the square lattice. In this paper, we introduce lattice gauge theory using an alternative lattice - the honeycomb lattice. By comparing the differences between honeycomb and square lattice gauge theories, we highlight the fundamental principles of lattice gauge theory. This pedagogical approach will assist students in gaining a fresh perspective on grasping lattice gauge theory.
介绍了蜂窝晶格规范理论的一种教学方法。晶格规范理论是理解强相关系统的重要理论,是研究生量子场论课程的重要内容。一般来说,量子场论教科书使用方形晶格介绍点阵规范理论。然而,初学者常常发现仅仅通过方形晶格的例子来掌握这样一个抽象的理论是具有挑战性的。本文利用蜂窝晶格这一替代晶格引入了晶格规范理论。通过比较蜂窝晶格规范理论与方形晶格规范理论的差异,重点介绍了晶格规范理论的基本原理。这种教学方法将帮助学生获得一个新的视角来理解晶格规范理论。
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引用次数: 0
An educational model of the Deutsch algorithm for secondary school 中学德语算法教育模式
IF 0.7 4区 教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES Pub Date : 2023-12-08 DOI: 10.1088/1361-6404/ad1399
C. Sutrini, G. Zuccarini, M. Malgieri, Maria Bondani, Chiara Macchiavello
In this paper we present the outline of an educational path to introduce a crucial historical turnpoint of quantum information research – namely the Deutsch algorithm – to secondary school students. We discuss a basic elementarization strategy allowing students to single out and focus on the individual features of quantum mechanics involved in the different steps of the algorithm information processing phase, which can potentially be useful for the educational reconstruction of other algorithms and protocols. The sequence includes the experimental realization on the optical bench of an analogue of the Deutsch algorithm, working with classical coherent light. The educational path was tested both in curricular and out-of-school settings, and preliminary results will be discussed.
在本文中,我们提出了一个教育路径的大纲,向中学生介绍量子信息研究的一个关键的历史转折点-即Deutsch算法。我们讨论了一种基本的元素化策略,允许学生挑选出并专注于算法信息处理阶段不同步骤中涉及的量子力学的单个特征,这可能对其他算法和协议的教育重建有用。该序列包括在经典相干光下的Deutsch算法模拟光学台上的实验实现。在课程和校外环境中对教育路径进行了测试,并将讨论初步结果。
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引用次数: 0
The motion of a washer on a vertical steel rod 垫圈在垂直钢棒上的运动
IF 0.7 4区 教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES Pub Date : 2023-12-06 DOI: 10.1088/1361-6404/ad0d89
Yao Xingxing, Liu Gongyu, Yang Hancheng, Xiao Ting, Zheng Yuan
A washer on a vertical steel rod may start spinning instead of simply sliding down. The forces on the washer are analyzed, and the relationship between the angular velocity of rotation and the angular velocity of precession is obtained. A relationship about the coefficient of friction of the washer is obtained at the condition of rotation without slipping. The influence of the coefficient of friction and the ratio of the inner diameter of the washer to the diameter of the rod on the sliding state was investigated experimentally, and a two-dimensional phase diagram of the rotation without slipping was obtained. The relationship between the three parameters(the nutation angle of the washer, the angular velocity of precession, and the final vertical velocity) and the ratio of the inner diameter of the washer to the diameter of the rod in the condition of rotation without slipping was further investigated. The experimental results are in good agreement with the theoretical equations.
垂直钢棒上的垫圈可能会开始旋转,而不是简单地向下滑动。对垫圈上的力进行了分析,并得出了旋转角速度和预摆角速度之间的关系。在无滑动的旋转条件下,得到了垫圈摩擦系数的关系。通过实验研究了摩擦系数和垫圈内径与杆直径之比对滑动状态的影响,并得到了无滑动旋转的二维相图。进一步研究了无滑动旋转状态下三个参数(垫圈的转角、前冲角速度和最终垂直速度)与垫圈内径与杆直径之比之间的关系。实验结果与理论方程十分吻合。
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引用次数: 0
Physics language and language use in physics--What do we know and how AI might enhance language-related research and instruction 物理语言和物理语言的使用--我们知道什么,以及人工智能如何促进语言相关研究和教学
IF 0.7 4区 教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES Pub Date : 2023-11-24 DOI: 10.1088/1361-6404/ad0f9c
P. Wulff
Language is an important resource for physicists and learners of physics to construe physical phenomena and processes, and communicate ideas. Moreover, any physics-related instructional setting is inherently language-bound, and physics literacy is fundamentally related to comprehending and producing both physics-specific and general language. Consequently, characterizing physics language and understanding language use in physics are important goals for research on physics learning and instructional design. Qualitative physics education research offers a variety of insights into the characteristics of language and language use in physics such as the differences between everyday language and scientific language, or metaphors used to convey concepts. However, qualitative language analysis fails to capture distributional (i.e., quantitative) aspects of language use and is resource-intensive to apply in practice. Integrating quantitative and qualitative language analysis in physics education research might be enhanced by recently advanced artificial intelligence-based technologies such as large language models, as these models were found to be capable to systematically process and analyse language data. Large language models offer new potentials in some language-related tasks in physics education research and instruction, yet they are constrained in various ways. In this scoping review, we seek to demonstrate the multifaceted nature of language and language use in physics and answer the question what potentials and limitations artificial intelligence-based methods such as large language models can have in physics education research and instruction on language and language use.
语言是物理学家和物理学习者解释物理现象和过程以及交流思想的重要资源。此外,任何与物理有关的教学环境本质上都与语言有关,而物理素养从根本上说与理解和创造物理专用语言和通用语言有关。因此,描述物理语言的特征和理解物理语言的使用是物理学习和教学设计研究的重要目标。定性物理教育研究为物理语言和语言使用的特点提供了各种见解,如日常用语和科学语言之间的差异,或用来表达概念的隐喻。然而,定性语言分析无法捕捉语言使用的分布(即定量)方面,而且在实际应用中需要耗费大量资源。将定量和定性语言分析整合到物理教育研究中,可能会通过最近先进的基于人工智能的技术(如大型语言模型)得到加强,因为这些模型能够系统地处理和分析语言数据。大型语言模型为物理教育研究和教学中一些与语言相关的任务提供了新的潜力,但它们也受到各种限制。在这篇范围综述中,我们试图展示物理学中语言和语言使用的多面性,并回答在物理教育研究和教学中,基于人工智能的方法(如大型语言模型)在语言和语言使用方面有哪些潜力和局限性。
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引用次数: 0
Augmented Reality Technology in Teaching about Physics: A systematic review of opportunities and challenges 增强现实技术在物理教学中的应用:机遇与挑战的系统回顾
IF 0.7 4区 教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES Pub Date : 2023-11-21 DOI: 10.1088/1361-6404/ad0e84
A. Vidak, V. Mešić, I. Movre Šapić, V. Gomzi
The use of augmented reality (AR) allows for the integration of digital information onto our perception of the physical world. In this article, we present a comprehensive review of previously published literature on the implementation of augmented reality in physics education, at the school and the university level. Our review includes an analysis of 96 papers from the Scopus and Eric databases, all of which were published between January 1st, 2012 and January 1st, 2023. We evaluated how AR has been used for facilitating learning about physics. Potential AR-based learning activities for different physics topics have been summarized and opportunities, as well as challenges associated with AR-based learning of physics have been reported. It has been shown that AR technologies may facilitate physics learning by: providing complementary visualizations, optimizing cognitive load, allowing for haptic learning, reducing task completion time and promoting collaborative inquiry. The potential disadvantages of using AR in physics teaching are mainly related to the shortcomings of software and hardware technologies (e.g., camera freeze, visualization delay) and extraneous cognitive load (e.g., paying more attention to secondary details than to constructing target knowledge).
使用增强现实技术(AR)可以将数字信息整合到我们对物理世界的感知中。在本文中,我们全面回顾了以前发表的关于在中小学和大学物理教育中实施增强现实技术的文献。我们的综述包括对 Scopus 和 Eric 数据库中 96 篇论文的分析,这些论文均发表于 2012 年 1 月 1 日至 2023 年 1 月 1 日之间。我们评估了 AR 如何用于促进物理学习。我们总结了不同物理主题中潜在的基于 AR 的学习活动,并报告了与基于 AR 的物理学习相关的机遇和挑战。研究表明,AR 技术可以通过以下方式促进物理学习:提供补充可视化、优化认知负荷、允许触觉学习、减少任务完成时间以及促进合作探究。在物理教学中使用 AR 的潜在缺点主要与软硬件技术的缺陷(如相机冻结、可视化延迟)和无关的认知负荷(如更多关注次要细节而非构建目标知识)有关。
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引用次数: 0
A physical point of view on the arithmetic and geometric mean inequality 从物理角度看算术和几何平均不等式
4区 教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES Pub Date : 2023-11-09 DOI: 10.1088/1361-6404/ad0b3b
Michele Modestino, Roberto De Luca, Orazio Faella
Abstract We propose a simple experiment designed to justify the arithmetic and geometric mean inequality by means of the laws of thermodynamics. The experiment consists in measuring the entropy variation ΔS in the thermodynamic irreversible process of cooling a metal in water. By considering the metal and water as a single isolated system, the arithmetic and geometric theorem is seen to hold by noticing that ΔS is positive for this irreversible transformation. These interdisciplinary activities may be used to reinforce basic concepts in thermodynamics in high school or first-year college students.
摘要:我们提出了一个简单的实验,旨在用热力学定律证明算术和几何平均不等式。实验是测量金属在水中冷却的热力学不可逆过程中的熵变ΔS。把金属和水看作一个孤立的系统,注意到ΔS对这个不可逆的变换是正的,就可以看出算术和几何定理是成立的。这些跨学科的活动可以用来加强高中或大学一年级学生的热力学基本概念。
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引用次数: 0
A Spherical Version of Feynman's Static Field Momentum Example 费曼静态场动量例子的球面版本
4区 教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES Pub Date : 2023-11-08 DOI: 10.1088/1361-6404/ad0aa4
Oliver Davis Johns
Abstract The Feynman demonstration that electromagnetic field momentum is real-even
for static fields-can be made more pedagogically useful by simplifying
its geometry. Instead of Feynman's disk with charged balls on its
surface, this article uses the geometry of a hollow non-conducting
sphere with uniform surface charge density. With only methods available
in a typical upper-division electrodynamics course, the initial field
angular momentum and the final mechanical angular momentum can then
be calculated in closed form and shown to be equal.
费曼证明电磁场动量是实数的——即使对静态场也是如此——可以通过简化其几何图形而在教学上更有用。本文没有采用费曼圆盘表面有带电球的理论,而是采用表面电荷密度均匀的空心非导电球体的几何结构。只有在典型的高级电动力学课程中可用的方法,才能以封闭形式计算初始场角动量和最终机械角动量,并证明它们相等。
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引用次数: 0
Diffraction patterns of Optical Discs under Far-field condition 远场条件下光盘的衍射图样
4区 教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES Pub Date : 2023-11-08 DOI: 10.1088/1361-6404/ad0aa1
Zhuofan Cai, Shijiang Chen, Boyang Deng, Shuqi Liu, Wei Zhao, Zengming Zhang
Abstract When optical disks are illuminated, bright-colored lines can often be observed on the surface of them. Starting from the oblique incident grating diffraction model, this paper analyzes the physical mechanism behind the appearance of these colored lines and provides the coordinate expression of the location of the colored lines on the optical disc under the far-field condition. The wavelength distribution of the colored lines on the optical disc under white light illumination is also given by the wave vector relationship of the diffraction process. To verify the theoretical analysis results, an experimental apparatus was designed and constructed to measure the position and color of the colored lines. The experimental data, analyzed through Gaussian process regression and direct comparison, demonstrates a good consistency with the theoretical analysis results.
当光盘被照射时,通常可以在其表面观察到鲜艳的线条。本文从斜入射光栅衍射模型出发,分析了这些彩色线出现的物理机制,给出了远场条件下彩色线在光盘上位置的坐标表达式。利用衍射过程的波矢量关系,给出了白光照射下光盘上彩色线的波长分布。为了验证理论分析结果,设计并制作了彩色线位置和颜色测量实验装置。通过高斯过程回归和直接对比分析,实验数据与理论分析结果具有较好的一致性。
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引用次数: 0
EMF Revisited EMF重新审视
4区 教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES Pub Date : 2023-11-08 DOI: 10.1088/1361-6404/ad0a9e
Art Davis
Abstract This paper was inspired by a recent publication by Redˇ z´ ıc[1] which threw into bold relief the differences between the way Maxwell viewed current and the way Lorentz visualized it. We make the assumption that for a circuit of laboratory dimensions current (and charge perturbation effects in general) can be assumed to propagate instaneously around the loop. Our second fundamental assumption is the commonly accepted one that E is the force per unit charge on a stationary charge. We use these facts to make the usual definition of electromotive force more rigorous and to derive the Lorentz force formula.
摘要:本文的灵感来自于red_z´ıc[1]最近发表的一篇文章,该文章大胆地揭示了麦克斯韦观察电流的方式与洛伦兹可视化电流的方式之间的差异。我们假设,对于实验室尺寸的电路,电流(和一般的电荷扰动效应)可以假设在环路周围瞬时传播。我们的第二个基本假设是普遍接受的,即E是单位电荷作用在固定电荷上的力。我们利用这些事实使电动势的通常定义更加严格,并推导出洛伦兹力公式。
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引用次数: 0
Low-cost measurements of the “resonant” wavelengths reflected by a compact disc under skimming light rays 低成本测量在掠光光线下由光盘反射的“共振”波长
4区 教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES Pub Date : 2023-11-08 DOI: 10.1088/1361-6404/ad0aa0
Marco Di Mauro, Pasquale Onorato, L M Gratton, Roberto De Luca, Oriana Fiore, Lars Gislén, Adele Naddeo
Abstract We demonstrate the construction and utilization of an affordable apparatus using readily available materials to accurately measure in a quantitative manner the wavelengths reflected by a compact disc (CD) under skimming light rays. In fact, only a limited number of wavelengths can be revealed when light rays from a white lamp are directed at a CD (or a DVD) in a manner that specifically selects the rays that graze the surface of the horizontally held disc. We compare the results with the ones obtained with a commercial spectrometer, the results are in good agreement among them and with the theoretical predictions.
摘要:我们演示了一种经济实惠的装置的构建和使用,使用现成的材料,以定量的方式精确测量激光光盘(CD)在掠光光线下反射的波长。事实上,当白灯的光线以一种特定的方式照射在CD(或DVD)上时,只有有限的波长可以显示出来,这种方式特别选择了擦过水平持有的光盘表面的光线。并与商用光谱仪的测量结果进行了比较,结果与理论预测基本一致。
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引用次数: 0
期刊
European Journal of Physics
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