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In this essay, we wish to propose a general principle: \it{the equation of motion or dynamics of a fundamental force should not be prescribed but instead be entirely driven by geometry of the appropriate spacetime manifold, and the equation…

广义相对论与量子宇宙学 · 物理学 2022-08-17 Naresh Dadhich

Physical systems characterized by a shallow two-body bound or virtual state are governed at large distances by a continuous-scale invariance, which is broken to a discrete one when three or more particles come into play. This symmetry…

核理论 · 物理学 2022-10-05 A. Kievsky , L. Girlanda , M. Gattobigio , M. Viviani

The electromagnetic theory is, to a large extend, metric independent. Before the metric is introduced, it is called premetric electrodynamics. Metric enters the constitutive relation. We consider this relation for the Friedman model of an…

广义相对论与量子宇宙学 · 物理学 2019-06-26 Bernard Jancewicz

We introduce the notion of electronic enthalpy for first-principles structural and dynamical calculations of finite systems under pressure. An external pressure field is allowed to act directly on the electronic structure of the system…

材料科学 · 物理学 2007-05-23 Matteo Cococcioni , Francesco Mauri , Gerbrand Ceder , Nicola Marzari

It is commonly observed that objects in a gravitational field experience a rate of acceleration that is independent of their mass and that, as a result, all massive objects with the same initial conditions follow the same trajectory. It is…

综合物理 · 物理学 2012-01-05 Dennis Crossley

The combination of machine learning and physical laws has shown immense potential for solving scientific problems driven by partial differential equations (PDEs) with the promise of fast inference, zero-shot generalisation, and the ability…

机器学习 · 计算机科学 2024-09-11 Nacime Bouziani , David A. Ham , Ado Farsi

The concept of hidden momentum is reviewed and the first rigorous derivation from Maxwell's equations is provided for the electromagnetic force on electrically small perfect electric conductors of arbitrary shape in bandlimited but…

经典物理 · 物理学 2018-11-19 Arthur D. Yaghjian

The force on a small sphere with a plasma model dielectric function and in the presence of a perfectly reflecting plane is considered. The contribution of both the vacuum modes of the quantized electromagnetic field and of plasmon modes in…

量子物理 · 物理学 2009-11-13 L. H. Ford

We offer a unified approach to several phenomena related to the electromagnetic vacuum of a complex medium made of point electric dipoles. To this aim, we apply the linear response theory to the computation of the polarization field…

量子物理 · 物理学 2011-02-23 M. Donaire

We propose a dynamical theory of how the chemical energy stored in a battery generates the electromotive force (emf). In this picture, the battery's half-cell acts as an engine, cyclically extracting work from its underlying chemical…

The motion of electrons under homogeneously applied electric fields in low-dimensional systems with non-zero off-diagonal effective mass (ODEM) is studied. The equation describing the time evolution of a probability coefficient of finding…

应用物理 · 物理学 2025-06-26 Nobuya Mori , Hajime Tanaka , Jo Okada

In accordance with an old suggestion of Asher Peres (1962), we consider the electromagnetic field as fundamental and the metric as a subsidiary field. In following up this thought, we formulate Maxwell's theory in a diffeomorphism invariant…

经典物理 · 物理学 2009-11-10 Friedrich W. Hehl , Yuri N. Obukhov

The effective field theory (EFT) of dark energy relies on three functions of time to describe the background dynamics. The viability of these functions is investigated here by means of a thorough dynamical analysis. While the system is…

宇宙学与河外天体物理 · 物理学 2015-06-17 Noemi Frusciante , Marco Raveri , Alessandra Silvestri

A force-free surface (FFS) ${\cal S}$ is a sharp boundary separating a void from a region occupied by a charge-separated force-free plasma. It is proven here under very general assumptions that there is on ${\cal S}$ a simple relation…

太阳与恒星天体物理 · 物理学 2010-05-27 Jean-Jacques Aly

An atom moving in a vacuum at constant velocity and parallel to a surface experiences a frictional force induced by the dissipative interaction with the quantum fluctuations of the electromagnetic field. We show that the combination of…

量子物理 · 物理学 2019-09-26 F. Intravaia , M. Oelschläger , D. Reiche , D. A. R. Dalvit , K. Busch

Density fitting is used throughout quantum chemistry to simplify the electron-electron interaction energy (EE). A fundamental property of quantum chemistry, and DFT in particular, is that a variational principle connects the EE to a…

材料科学 · 物理学 2016-06-08 Brett I Dunlap , Mark C Palenik

The classical theory of electromagnetism is based on Maxwell's macroscopic equations, an energy postulate, a momentum postulate, and a generalized form of the Lorentz law of force. These seven postulates constitute the foundation of a…

光学 · 物理学 2012-07-31 Masud Mansuripur , Armis R. Zakharian

The illuminating role of differential forms in electromagnetism is seldom discussed in the classroom. It is the aim of this article to bring forth some of the relevant insights that can be learnt from a differential forms approach to E\&M.…

广义相对论与量子宇宙学 · 物理学 2020-11-30 Sébastien Fumeron , Bertrand Berche , Fernando Moraes

The definition of the induced $emf$ as the integral over a closed loop of the Lorentz force acting on a unit positive charge leads immediately to a general law for electromagnetic induction phenomena. The general law is applied to three…

经典物理 · 物理学 2015-02-03 Giuseppe Giuliani

The equations of motion for the position and spin of a classical particle coupled to an external electromagnetic and gravitational potential are derived from an action principle. The constraints insuring a correct number of independent spin…

高能物理 - 理论 · 物理学 2009-10-22 Karl Yee , Myron Bander