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The objective is a foundation of physics from the operationalization of its basic observables. We begin with classical and relativistic kinematics. Seizing on a programmatic proposal by Heinrich Hertz we arrive via quantification of…

History and Philosophy of Physics · Physics 2015-12-07 Bruno Hartmann

We report on progress towards the development of an Action Concept Inventory (ACI), a test that measures student understanding of action principles in introductory mechanics and optics. The ACI also covers key concepts of many-paths quantum…

Physics Education · Physics 2016-06-22 Lachlan P. McGinness , C. M. Savage

We present, for the first time, an action principle that gives the equations of motion of an extended body possessing multipole moments in an external gravitational field, in the weak field limit. From the action, the experimentally…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jeeva Anandan , Naresh Dadhich , Parampreet Singh

This is a report of a course on modern physics designed and taught to undergraduate science and engineering students in the Spring of 2013. The course, meant for freshmen, attempts to integrate statistical mechanics into non-classical…

Physics Education · Physics 2013-08-21 Muhammad Sabieh Anwar

A first-order action for scalar-tensor theories of gravity is proposed. The Hamiltonian analysis of the action gives the desired connection dynamical formalism, which was derived from the geometrical dynamics by canonical transformations.…

General Relativity and Quantum Cosmology · Physics 2013-05-07 Zhenhua Zhou , Haibiao Guo , Yu Han , Yongge Ma

This article is based on lecture notes for the Marie Curie Training school "Initial Training on Numerical Methods for Active Matter". It provides an introductory overview of modeling approaches for active matter and is primarily targeted at…

Soft Condensed Matter · Physics 2021-02-26 L. Hecht , J. C. Ureña , B. Liebchen

We review some techniques from non-linear analysis in order to investigate critical paths for the action functional in the calculus of variations applied to physics. Previous attempts to analyse when these are minima ex- ist, but mainly…

Mathematical Physics · Physics 2013-03-22 E. López , A. Molgado , J. A. Vallejo

We give a geometrical interpretation for the principle of stationary action in classical Lagrangian particle mechanics. In a nutshell, the difference of the action along a path and its variation effectively ``counts'' the possible…

Classical Physics · Physics 2023-08-15 Gabriele Carcassi , Christine A. Aidala

We present an action principle formulation for the study of motion of an extended body in General Relativity in the limit of weak gravitational field. This gives the classical equations of motion for multipole moments of arbitrary order…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Jeeva Anandan , Naresh Dadhich , Parampreet Singh

It is well known that the action functional can be used to define classical, quantum, closed, and open dynamics in a generalization of the variational principle and in the path integral formalism in classical and quantum dynamics,…

Quantum Physics · Physics 2024-05-30 Janos Polonyi

The correspondence of a new form of quantum mechanics based on a quantum version of the action principle, which was proposed earlier [arXiv:0807.3508], with the ordinary quantum mechanics is established. New potentialities of the quantum…

Quantum Physics · Physics 2009-12-17 N. Gorobey , A. Lukyanenko , I. Lukyanenko

A goal of physics is to understand the greatest possible breadth of natural phenomena in terms of the most economical set of basic concepts. However, as the understanding of physics has developed historically, its pedagogy and language have…

General Physics · Physics 2020-10-21 B. C. Regan

Most science classes and in particular Physics are delivered through traditional teaching methods. More specifically, in the traditional stand-and-deliver lecture, the information was transmitted unilaterally from the teacher to the student…

Physics Education · Physics 2020-06-04 Iulia Salaoru

Action research entered into software engineering as one of the responses to the software engineering research crisis at the end of the last millennium. As one of the challenges in the crisis was the lack of empirical results and the…

Software Engineering · Computer Science 2024-08-06 Miroslaw Staron

This study examines the impact of a remote laboratory experiment on Physics learning, using a case study approach. Societal advancements over the past century have spurred discussions regarding restructuring the current educational system,…

Physics Education · Physics 2025-01-17 Carlos Antonio da Rocha , Matheus Santos Nogueira

The modeling theory of instruction is widely applied and highly successful in high-school instruction, and seldom in university physics. One reason is lack of familiarity with models in the physics classroom. Ongoing curriculum development…

Physics Education · Physics 2007-05-23 Eric Brewe

We introduce a relativistic action that provides a unified and physically meaningful description of particle dynamics in external fields. The proposed action is constructed to be Lorentz covariant and reduces to the standard classical…

General Physics · Physics 2026-04-29 Y. Friedman

This article describes how the author successfully adapted techniques drawn from the literature on active learning for use in a graduate-level course on quantum field theory. Students completed readings and online questions ahead of each…

Physics Education · Physics 2021-02-25 G. Peter Lepage

The Lagrangian formulation of classical mechanics is widely applicable in solving a vast array of physics problems encountered in the undergraduate and graduate physics curriculum. Unfortunately, many treatments of the topic lack…

Classical Physics · Physics 2026-04-14 Gerd Wagner , Matthew W. Guthrie

The physics that underpins modern technology is based on Einstein's theories of relativity and quantum mechanics. Most school students complete their compulsory science education without being taught any of these Einsteinian concepts. Only…

Physics Education · Physics 2021-08-11 Kyla Adams , Roshan Dattatri , Tejinder Kaur , David Blair
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