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Students in introductory physics courses struggle to understand virtual image formation by a plane mirror and the proper construction of ray diagrams. This difficulty, if not sufficiently addressed, results in further problems throughout…

Physics Education · Physics 2011-10-10 J. Christopher Moore , Richard D. Floyd , Cody V. Thompson

Combinatorial games lead to several interesting, clean problems in algorithms and complexity theory, many of which remain open. The purpose of this paper is to provide an overview of the area to encourage further research. In particular, we…

Computational Complexity · Computer Science 2009-09-25 Erik D. Demaine , Robert A. Hearn

We discuss a stochastic particle system consisting of a two-dimensional array of particles living in one space dimension. The stochastic evolution bears a certain similarity to Hammersley's process, and the particle interaction is governed…

Probability · Mathematics 2013-03-13 Alexei Borodin , Grigori Olshanski

A particle confined to an impassable box is a paradigmatic and exactly solvable one-dimensional quantum system modeled by an infinite square well potential. Here we explore some of its infinitely many generalizations to two dimensions,…

Computational Physics · Physics 2023-02-06 Elliott G. Holliday , John F. Lindner , William L. Ditto

The move-minimizing puzzles presented here are certain types of one-player combinatorial games that are shown to have explicit solutions whenever they can be encoded in a certain way as diamond-colored modular or distributive lattices. Our…

Combinatorics · Mathematics 2023-12-05 Robert G. Donnelly , Elizabeth A. Donovan , Molly W. Dunkum , Timothy A. Schroeder

The role of electronic interactions in the level structure of semiconductor quantum dots is analyzed in terms of the correspondence to the integrability of a classical system that models these structures. We find that an otherwise simple…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Lilia Meza-Montes , Sergio E. Ulloa , Daniela Pfannkuche

Student and public understanding of new discoveries in particle physics are enhanced by preparatory activities. Such activities give the user experience and context to understand a representation of the data associated with the discovery…

Physics Education · Physics 2015-11-02 Kenneth Cecire

Instruction in quantum mechanics is becoming increasingly important as the field is not only a key part of modern physics research, but is also important for emerging technologies. However, many students regard quantum mechanics as a…

Physics Education · Physics 2025-02-04 Victoria Borish , H. J. Lewandowski

Quantum theory reveals astonishing and counterintuitive phenomena not found in classical physics, such as wave-particle duality, where entities like electrons and photons exhibit both wave-like and particle-like behaviors. In this paper, we…

Quantum Physics · Physics 2024-07-03 Daegene Song

Parity games have important practical applications in formal verification and synthesis, especially to solve the model-checking problem of the modal mu-calculus. They are also interesting from the theory perspective, because they are widely…

Logic in Computer Science · Computer Science 2018-07-30 Tom van Dijk

Dissipative particle dynamics (DPD) belongs to a class of models and computational algorithms developed to address mesoscale problems in complex fluids and soft matter in general. It is based on the notion of particles that represent…

Statistical Mechanics · Physics 2017-05-24 Pep Español , Patrick B Warren

In this paper, a quantum variant of chess is introduced, which can be played on a traditional board, without using computers or other electronic devices. The rules of the game arise naturally by combining the rules of conventional chess…

Popular Physics · Physics 2025-01-14 Tamás Varga

The use of computers in statistical physics is common because the sheer number of equations that describe the behavior of an entire system particle by particle often makes it impossible to solve them exactly. Monte Carlo methods form a…

Physics Education · Physics 2017-04-27 Matjaz Perc

Doodling is a useful and common intelligent skill that people can learn and master. In this work, we propose a two-stage learning framework to teach a machine to doodle in a simulated painting environment via Stroke Demonstration and deep…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Tao Zhou , Chen Fang , Zhaowen Wang , Jimei Yang , Byungmoon Kim , Zhili Chen , Jonathan Brandt , Demetri Terzopoulos

This short note proposes a symbolic approach for representing and reasoning about quantum circuits using complex, vector or matrix-valued Boolean expressions. A major benefit of this approach is that it allows us to directly borrow the…

Quantum Physics · Physics 2020-10-08 Mingsheng Ying , Zhengfeng Ji

By means of a thought-experiment, consisting of an interference experiment with two interfering beams, it is shown that it can be demonstrated experimentally that with one single particle a wave can be associated which propagates in space…

History and Philosophy of Physics · Physics 2007-05-23 W. De Baere

MiBoard (Multiplayer Interactive Board Game) is an online, turn-based board game, which is a supplement of the iSTART (Interactive Strategy Training for Active Reading and Thinking) application. MiBoard is developed to test the hypothesis…

Computer Science and Game Theory · Computer Science 2010-09-14 Justin F. Brunelle , Irwin B. Levinstein , Chutima Boonthum

In classical mechanics matter and fields are completely separated. Matter interacts with fields. For particle physicists this is not the case. Both matter and fields are represented by particles. Fundamental interactions are mediated by…

Popular Physics · Physics 2012-07-13 Giovanni Organtini

This paper introduces a quantum-mechanical model that bridges the realms of cognition and quantum mechanics, offering a novel perspective on decision-making under risk and perceptual reversals. By integrating quantum theories addressing…

Neurons and Cognition · Quantitative Biology 2025-04-01 Ivan S. Maksymov , Ganna Pogrebna

Quantum physics, which describes the strange behavior of light and matter at the smallest scales, is one of the most successful descriptions of reality, yet it is notoriously inaccessible. Here we provide an approachable explanation of…

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