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These lecture notes are an informal introduction to the theory of computational complexity and its links to quantum computing and statistical mechanics.

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Fifteen misconceptions involving Relativity, Gravitation and Cosmology are exposed, along with corrections

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We introduce PHYSICS, a comprehensive benchmark for university-level physics problem solving. It contains 1297 expert-annotated problems covering six core areas: classical mechanics, quantum mechanics, thermodynamics and statistical…

Artificial Intelligence · Computer Science 2026-05-22 Kaiyue Feng , Yilun Zhao , Yixin Liu , Tianyu Yang , Chen Zhao , John Sous , Arman Cohan

The amount of published research in Physics Education Research (PER) shows, on one hand, an increasing interest in the design and development of high performance physics teaching strategies, and, on the other hand, it tries to understand…

Physics Education · Physics 2009-02-09 Sergio Rojas

The fact that the author of an excellent textbook on electromagnetism could be duped by "hidden momentum" vividly illustrates the problematic nature of its use.

Classical Physics · Physics 2010-05-17 Timothy H. Boyer

Learning to use math in science is a non-trivial task. It involves many different skills (not usually taught in a math class) that help blend physical knowledge with mathematical symbology. One of these is the idea of quantification: that…

Physics Education · Physics 2022-08-17 Edward F. Redish

Computation has become an integral part of physics research. However, little is known about how students learn to productively use computation as a tool beyond the introductory level, especially as they transition into physics research. In…

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We discuss several ways of illustrating fundamental concepts in statistical and thermal physics by considering various models and algorithms. We emphasize the importance of replacing students' incomplete mental images by models that are…

Physics Education · Physics 2009-11-13 Jan Tobochnik , Harvey Gould

This document is an introduction to and review of two-dimensional mathematical physics. The reader is introduced to the subject matter primarily through problems, which are presented along with detailed worked solutions. For each chapter,…

High Energy Physics - Theory · Physics 2007-05-23 C. J. Efthimiou , D. A. Spector

A lot. [In this hard, unbiased and objective look at some past and continuing blunders in following Weinberg's suggestions to arrive at a comprehensive description of Nuclear Physics using Effective Field Theories, some names and citations…

Nuclear Theory · Physics 2022-05-18 Harald W. Griesshammer

This chapter is a collection of techniques, warnings, facts and ideas that are sometimes regarded as theoretical curiosities in high-energy physics but have important consequences in condensed matter physics. In particular, we describe…

Mesoscale and Nanoscale Physics · Physics 2019-09-09 Adolfo G. Grushin

Scientific research involves mathematical modelling in the context of an interactive balance between theory, experiment and computation. However, computational methods and tools are still far from being appropriately integrated in the high…

Physics Education · Physics 2016-08-14 Rui Gomes Neves , Jorge Carvalho Silva , Vítor Duarte Teodoro

Group Theory has become an invaluable tool in the physics community. Despite numerous introductory books, the subject remains challenging for beginners. Mathematica has emerged as a popular tool for research and education, offering various…

To effectively prepare engineering students requires of formation of a system of fundamental physical knowledge together with the ability to apply them in specific productive activities, both on fundamental and on the profiled-oriented…

Physics Education · Physics 2018-08-23 Yu. Yechkalo

Computational models in chemistry rely on a number of approximations. The effect of such approximations on observables derived from them is often unpredictable. Therefore, it is challenging to quantify the uncertainty of a computational…

Chemical Physics · Physics 2017-04-21 Gregor N. Simm , Jonny Proppe , Markus Reiher

Elementary particle physics is gradually implemented into science curricula at high school level. However, common presentations on educational, semi-technical or popular level contain or support severe misconceptions. We discuss in…

Physics Education · Physics 2018-11-16 Oliber Passon , Thomas Zügge , Johannes Grebe-Ellis

The present article uncovers a common mistake in many college physics textbooks, specifically, on its presentation and interpretation about generation and propagation of electromagnetic waves. It is found that the electric field in the…

Classical Physics · Physics 2011-07-22 Fulin Zuo

A primary goal of physics is to create mathematical models that allow both predictions and explanations of physical phenomena. We weave maths extensively into our physics instruction beginning in high school, and the level and complexity of…

Physics Education · Physics 2016-04-12 Edward F. Redish

The purpose of this paper is to show the magic of physics by showing the physics of magic. What usually makes magic tricks interesting is that something unexpected occurs. Similarly, demonstrations are interesting inasmuch as they produce…

Physics Education · Physics 2007-05-23 Nathaniel Lasry , Pierre-Osias Christin

The textbook contains the problems in mechanics and special relativity for physics departments of universities. Many original problems were proposed by active scientists from the institutes of the Siberian Branch of Russian Academy of…

Classical Physics · Physics 2010-04-27 Yu. I. Belchenko , E. A. Gilev , Z. K. Silagadze