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We compute the photon polarization tensor at one-loop order in the presence of a constant and uniform electric field. Our calculation is carried out for arbitrary field strength using the Schwinger proper-time formalism, and we explicitly…

高能物理 - 理论 · 物理学 2025-08-06 Luis A. Hernández , Juan D. Martínez-Sánchez , R. Zamora

We explore the possibility of avoiding cosmological singularity with a bounce solution in the early Universe. The main finding is that simple and well-known semiclassical correction, which describes the mixing of radiation and gravity in…

广义相对论与量子宇宙学 · 物理学 2024-10-07 Wagno Cesar e Silva , Ilya L. Shapiro

The additional precession of Mercury due to general relativity can be calculated by a method that is no more difficult than solving for the Newtonian orbit. The method relies on linearizing the relativistic orbit equation, is simpler than…

广义相对论与量子宇宙学 · 物理学 2022-10-27 Michael J. W. Hall

The equation of motion for the reduced Wigner function of a system coupled to an external quantum system is presented for the specific case when the external quantum system can be modeled as a set of harmonic oscillators. The result is…

量子气体 · 物理学 2017-05-11 Dries Sels , Fons Brosens

In special relativity a gyroscope that is suspended in a torque-free manner will precess as it is moved along a curved path relative to an inertial frame S. We explain this effect, which is known as Thomas precession, by considering a real…

广义相对论与量子宇宙学 · 物理学 2010-11-11 Rickard Jonsson

The space rotation invariance hypothesis is examined. The basic space-time properties and the physical object description from this point of view are considered. An $\omega$-invariance as an approximation of the space rotation invariance…

量子物理 · 物理学 2007-05-23 Andrey V. Novikov-Borodin

We make it precise what it means to have a connection with torsion as solution of the Einstein equations. While locally the theory remains the same, the new formulation allows for topologies that would have been excluded in the standard…

高能物理 - 理论 · 物理学 2011-08-02 M. A. Lledo , L. Sommovigo

In analogy with the quantum field theory of free bosons a simple integral representation is derived for recently proposed corrections describing the Bose Einstein effect. The saddle point approximation to these integrals results in a…

高能物理 - 唯象学 · 物理学 2009-10-30 J. Wosiek

We present solutions to the Einstein-Klein Gordon system representing boson stars in the slow rotation approximation. By considering slow rotation we are able to reduce the number of equations yielding a system of ordinary differential…

广义相对论与量子宇宙学 · 物理学 2025-09-09 Jorge F. M. Delgado , Juan Carlos Degollado , Luis E. Martínez , Marcelo Salgado

By suitable examples we illustrate an algorithm for composition of inverse problems.

历史与综述 · 数学 2014-11-24 Julia Ninova , Vesselka Mihova

This is an introduction to linear algebra and group theory. We first review the linear algebra basics, namely the determinant, the diagonalization procedure and more, and with the determinant being constructed as it should, as a signed…

组合数学 · 数学 2026-01-07 Teo Banica

The Bargmann-Michel-Telegdi equation, which describes the precession of the spin of a charged Dirac particle moving in a homogeneous electromagnetic field, is generalized to include also other homogeneous background fields. The treatment…

高能物理 - 唯象学 · 物理学 2025-09-08 Yunhua Ding , Alan Kostelecky , Arnaldo J. Vargas

The motion of a compact body in space and time is commonly described by the world line of a point representing the instantaneous position of the body. In General Relativity such a world-line formalism is not quite straightforward because of…

广义相对论与量子宇宙学 · 物理学 2016-11-29 Jan-Willem van Holten

Invariance of form factors under Lorentz boosts is a criterion often advocated to determine whether their estimate in a RQM framework is reliable. It is shown that verifying relations stemming from covariance properties under space-time…

核理论 · 物理学 2016-09-08 B. Desplanques

A formula for the apparent rotation of a relativistically moving object has been known for some time, but it seems not to have been realized that this formula has a very pretty interpretation in terms of formal group laws. Version 2…

数学物理 · 物理学 2008-05-08 Jack Morava

A phase space description of the fractional Talbot effect, occurring in a one-dimensional Fresnel diffraction from a periodic grating, is presented. Using the phase space formalism a compact summation formula for the Wigner function at…

光学 · 物理学 2015-06-26 Konrad Banaszek , Krzysztof Wodkiewicz , Wolfgang P. Schleich

We first demonstrate how our general intuition of pseudoforces has to navigate around several pitfalls in rotating frames. And then, we proceed to develop an intuitive understanding of the different components of the pseudoforces in most…

经典物理 · 物理学 2020-11-26 Ujan Chakraborty , Ananda Dasgupta

Weak gravitational lensing is normally assumed to have only two principle effects: a magnification of a source and a distortion of the sources shape in the form of a shear. However, further distortions are actually present owing to changes…

广义相对论与量子宇宙学 · 物理学 2015-12-02 Chris Clarkson

We generalize Kirchhoff's point vortex model of two-dimensional fluid motion to a rotor model which exhibits an inverse cascade by the formation of rotor clusters. A rotor is composed of two vortices with like-signed circulations glued…

统计力学 · 物理学 2013-11-27 Jan Friedrich , Rudolf Friedrich

Hamilton in the course of his studies on quaternions came up with an elegant geometric picture for the group SU(2). In this picture the group elements are represented by ``turns'', which are equivalence classes of directed great circle arcs…

量子物理 · 物理学 2009-11-13 R. Simon , S. Chaturvedi , V. Srinivasan , N. Mukunda