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Based on relativistic velocity addition and the conservation of momentum and energy, I present derivations of the expressions for the relativistic momentum and kinetic energy, and $E=mc^2$.

Classical Physics · Physics 2007-05-23 Ben Yu-Kuang Hu

It is shown that formulas for the radiative power loss and radiation reaction from a charge can be derived in a heuristic manner from the kinetic power (rate of change of the kinetic energy) of its electric inertial mass. The derivation…

Classical Physics · Physics 2018-10-24 Ashok K. Singal

Formulae relating one and the same force in two inertial frames of reference are derived directly from the Lorentz transformation of space and time coordinates and relativistic equation for the dynamic law of motion in three dimensions. We…

Physics Education · Physics 2007-05-23 Valery P. Dmitriyev

A zone of reactions is determined and then exploited as a tool in studying the space-time structure of an interacting system formed in a collision of relativistic nuclei. The time dependence of the reaction rates integrated over spatial…

Nuclear Theory · Physics 2015-07-28 Dmitry Anchishkin , Anton Muskeyev , Stanislav Yezhov

The invariant mass of free particles is used to derive a bound-state equation for the hydrogen atom at rest. This equation has the well-known solutions for the single-particle states. Existence of two-particle bound states, for which the…

General Physics · Physics 2023-08-28 A. I. Agafonov

Use is made of a relativistic kinematic modulation effect to compliment imagery from Stochastic Electrodynamics to provide intuitive paradigms for Quantum Mechanics. Based on these paradigms, resolutions for epistemological problems vexing…

Quantum Physics · Physics 2007-05-23 A. F. Kracklauer

The status of our understanding of relativistic sum rules is reviewed. The recent development of new theoretical methods for the evaluation of these sum rules offers hope for further advances in this challenging field. These new techniques…

Atomic Physics · Physics 2015-06-26 Scott M. Cohen

A relativistic formulation of reaction theory for nuclei with a dynamics given by a unitary representations of the Poincar\'e group is developed. Relativistic dynamics is introduced by starting from a relativistic theory of free particles…

Nuclear Theory · Physics 2015-06-19 W. N. Polyzou , Ch. Elster

We show that relativistic dynamics can be approached without using conservation laws (conservation of momentum, of energy and of the centre of mass). Our approach avoids collisions that are not easy to teach without mnemonic aids. The…

General Physics · Physics 2008-12-02 Bernhard Rothenstein , Stefan Popescu

The relativistic quantum mechanics equations for the electromagnetic interaction are propososed.

High Energy Physics - Theory · Physics 2008-01-09 Yury M. Zinoviev

Magnetic reconnection -- a fundamental plasma physics process, where magnetic field lines of opposite polarity annihilate -- is invoked in astrophysical plasmas as a powerful mechanism of nonthermal particle acceleration, able to explain…

High Energy Astrophysical Phenomena · Physics 2025-07-17 Lorenzo Sironi , Dmitri A. Uzdensky , Dimitrios Giannios

This review article deals with some case studies of relativistic and correlation effects in atomic systems. After a brief introduction to relativistic many-electron theory, a number of applications ranging from correlation energy to parity…

Atomic Physics · Physics 2007-05-23 B. P. Das , K. V. P. Latha , Bijaya K. Sahoo , Chiranjib Sur , Rajat K Chaudhuri , D. Mukherjee

The effective equations of motion for a point charged particle taking account of radiation reaction are considered in various space-time dimensions. The divergencies steaming from the pointness of the particle are studied and the effective…

High Energy Physics - Theory · Physics 2009-11-07 P. O. Kazinski , S. L. Lyakhovich , A. A. Sharapov

The relativistic mean field approach is applied to the description of coincidence $A(e,e'p)B$ reactions where both the incident electron beam and knockout proton are polarized. Effects introduced by the dynamical enhancement of the lower…

Nuclear Theory · Physics 2016-08-16 M. C. Martínez , J. A. Caballero , T. W. Donnelly

This review discusses the physics of magnetic reconnection, a process in which the magnetic field topology changes and magnetic energy is converted to kinetic energy, in pair plasmas in the relativistic regime. We focus on recent progress…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Daniel Kagan , Lorenzo Sironi , Benoit Cerutti , Dimitrios Giannios

This article shows how to express relativistic concepts in a visual manner using the full power of hyperbolic trigonometric functions. Minkowski diagrams in energy-momentum space are used in conjunction with hyperbolic triangles. Elegant…

General Relativity and Quantum Cosmology · Physics 2026-03-26 Karol Urbański

We find equations of particle motion from the point of view of observer on a rotating disk, and demonstrate that a particle moving along a rotating disk is influenced by forces arising from geometry. They can be considered as analogs of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. Bashkov , M. Malakhaltsev

It is shown that the correct expressions for momentum and kinetic energy of a particle moving at high speed were already implicit in physics going back to Maxwell. The demonstration begins with a thought experiment of Einstein by which he…

History and Philosophy of Physics · Physics 2018-11-28 Allan Walstad

We investigate the role of relativistic and nonrelativistic optical potentials used in the analysis of ($e,e'p$) data. We find that the relativistic calculations produce smaller ($e,e'p$) cross sections even in the case in which both…

Nuclear Theory · Physics 2009-09-25 J. M. Udias , P. Sarriguren , E. Moya de Guerra , E. Garrido , J. A. Caballero

In this paper we generalize the kinetic mixing idea to time reparametrization invariant theories, namely, relativistic point particles and cosmology in order to obtain new insights for dark matter and energy. In the first example, two…

General Relativity and Quantum Cosmology · Physics 2015-06-30 Ashok Das , Jorge Gamboa , Miguel Pino