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This chapter introduces the main ideas and the most important methods for representing the electronic wavefunction through machine learning models. The wavefunction of a N-electron system is an incredibly complicated mathematical object,…

Chemical Physics · Physics 2024-04-30 Stefano Battaglia

In the loop representation the quantum constraints of gravity can be solved. This fact allowed significant progress in the understanding of the space of states of the theory. The analysis of the constraints over loop dependent wavefunctions…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Jorge Griego

An approach to special relativity is outlined which emphasizes the wave and field mechanisms which physically produce the relativistic effects, with the goal of making them seem more natural to students by connecting more explicitly with…

Classical Physics · Physics 2013-05-15 William M. Nelson

The relationship between classical and quantum mechanics is explored in an intuitive manner by the exercise of constructing a wave in association with a classical particle. Using special relativity, the time coordinate in the frame of…

General Physics · Physics 2008-12-08 C. L. Herzenberg

Recent work has given a systematic way for studying the kinetics of classical weakly interacting waves beyond leading order, having analogies with renormalization in quantum field theory. An important context is weak wave turbulence,…

High Energy Physics - Theory · Physics 2024-04-24 Vladimir Rosenhaus , Daniel Schubring , Md Shaikot Jahan Shuvo , Michael Smolkin

Real world water waves often propagate on current. And, the measurement of waves and current is an important task for coastal and marine engineers. Modern marine measurement technologies (i.e. unmanned autonomous vehicles, drones) often…

Fluid Dynamics · Physics 2020-07-31 David M. Kouskoulas , Yaron Toledo

Gravitational wave observations offer unique opportunities to probe gravity in the strong and dynamical regime, which was difficult to access previously. We here review two theory-agnostic ways to carry out tests of general relativity with…

General Relativity and Quantum Cosmology · Physics 2020-05-19 Zack Carson , Kent Yagi

In this paper we present in a theoretical, historical and practical way the inclusion of gravitational waves in the teaching of physics. Through the explanation of the theme through debates and experimental practices in the classroom, we…

Physics Education · Physics 2020-03-20 B. S. M. Barros , E. V. de Souza

We describe the difficulties that advanced undergraduate and graduate students have with quantum measurement within the standard interpretation of quantum mechanics. We explore the possible origins of these difficulties by analyzing student…

Physics Education · Physics 2016-04-05 Guangtian Zhu , Chandralekha Singh

In response to an invitation to integrate science and art pedagogy, science and dance students, enrolled in specific discipline courses, collaboratively produced choreography based on scientific principles. This paper reports students…

Physics Education · Physics 2021-06-14 Arlette R. C. Baljon , Joseph Alter , Marilee Bresciani Ludvik

The dynamics of gravitational waves is investigated in full 3+1 dimensional numerical relativity, emphasizing the difficulties that one might encounter in numerical evolutions, particularly those arising from non-linearities and gauge…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Peter Anninos , Joan Masso , Edward Seidel , Wai-Mo Suen , Malcolm Tobias

Uncertainty is an important and fundamental concept in physics education. Students are often first exposed to uncertainty in introductory labs, expand their knowledge across lab courses, and then are introduced to quantum mechanical…

Physics Education · Physics 2023-06-30 Andy Schang , Matthew Dew , Emily M. Stump , N. G. Holmes , Gina Passante

The question of what conditions should be set at the nodes of a discrete graph for the wave equation with discrete time is investigated. The variational method for the derivation of these conditions is used. A parallel with the continuous…

Optimization and Control · Mathematics 2022-10-18 Sergei A. Avdonin , Aleksander S. Mikhaylov , Victor S. Mikhaylov , Abdon E. Choque-Rivero

The coupled motion is investigated for a mechanical system consisting of water and a body freely floating in it. Water occupies either a half-space or a layer of constant depth into which an infinitely long surface-piercing cylinder is…

Analysis of PDEs · Mathematics 2020-12-01 Nikolay Kuznetsov

The decline in student interest in science and technology is a major concern in the western world. One approach to reversing this decline is to introduce modern physics concepts much earlier in the school curriculum. We have used the…

We are investigating cognitive issues in learning quantum mechanics in order to develop effective teaching and learning tools. The analysis of cognitive issues is particularly important for bridging the gap between the quantitative and…

Physics Education · Physics 2016-02-19 Chandralekha Singh , Guangtian Zhu

Sliding friction is usually introduced in high school, but rarely through activities in laboratory. A qualitative introduction to friction is presented by proposing exploration of different kind of materials in order to suggest which…

Physics Education · Physics 2016-01-08 Vera Montalbano

Optomechanics, the study of the mechanical interaction of light with matter, has proven to be a fruitful area of research that has yielded many notable achievements, including the direct detection of gravitational waves in kilometer-scale…

The concept of fundamental dynamic uncertainty (multivaluedness) developed in Parts I-III of this work and used to establish the consistent understanding of genuine chaos in Hamiltonian systems provides also causal description of the…

Quantum Physics · Physics 2008-02-03 Andrei P. Kirilyuk

Ever since the inception of gravitational-wave detectors, limits imposed by quantum mechanics to the detection of time-varying signals have been a subject of intense research and debate. Drawing insights from quantum information theory,…

Quantum Physics · Physics 2012-10-17 Mankei Tsang , Ranjith Nair