Phys. Rev. E 72, 026603 (2005) - Relativistic acceleration of charged particles in uniform and mutually perpendicular electric and magnetic fields as viewed in the laboratory frame

Relativistic acceleration of charged particles in uniform and mutually perpendicular electric and magnetic fields as viewed in the laboratory frame

Yaakov Friedman and Mark D. Semon

Phys. Rev. E 72, 026603 – Published 4 August 2005

Abstract

We obtain exact solutions in the laboratory frame for the relativistic position, velocity, and energy of a charged particle moving in constant, uniform, and mutually perpendicular electromagnetic fields. We also obtain an exact equation relating the proper time and the laboratory time, and examine all these quantities in the large and small time limits. Working in the laboratory frame makes the accelerated motion that can occur when $∣ E ∣ ⩾ c ∣ B ∣$ easier to analyze and understand.

Received 13 March 2005

DOI:https://doi.org/10.1103/PhysRevE.72.026603

©2005 American Physical Society

Authors & Affiliations

Yaakov Friedman^*

Jerusalem College of Technology, Jerusalem 91160, Israel

Mark D. Semon^†

Department of Physics, Bates College, 44 Campus Avenue, Lewiston, Maine 04240, USA

^*Electronic address: friedman@jct.ac.il
^†Electronic address: msemon@bates.edu

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Issue

Vol. 72, Iss. 2 — August 2005

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