The Lorentz force equation F = q(E + v 脳 B), which has been used by the engineering community since the early 20th century to control the motion of electrons on free trajectories, in a wide range of technical applications, is a generalized equation that was originally developed by Hendrik...
LORENTZ theoryLORENTZ spacesEQUATIONS of motionHAMILTONIAN systemsMAGNETIC fieldsIn this paper we study the existence and multiplicity of solutions of the Lorentz force equationwith periodic or Dirichlet boundary conditions. In Special Relativity, this equation models the motion of a slowly accelerated ...
Connecting solutions of the Lorentz force equation do exist - Minguzzi, SánchezMinguzzi, E. and S´anchez, M.: Connecting solutions of the Lorentz force equation do exist, Comm. Math. Phys. 264, 349-370 (2006). Erratum ibid. 267, 559-561 (2006)...
Define Lorentz equation. Lorentz equation synonyms, Lorentz equation pronunciation, Lorentz equation translation, English dictionary definition of Lorentz equation. n. The orthogonal force on a charged particle traveling in a magnetic field. American Her
In free-electron lasers, the motion of electrons is governed by the Lorentz force equations in the presence of a radiation field. The variation of the radiation field then follows from Maxwell equations in which the modulated electron current acts as a source. A self-consistent analysis, which ...
Commutation relations which lead to the Lorentz force equation are assumed. The operators are realized by constructing the irreducible representations of the ... HJ Lipkin,WI Weisberger,M Peshkin - 《Annals of Physics》 被引量: 127发表: 1969年 On Feynman's proof of the Maxwell equations Feynma...
Departing from the Hamiltonian of a quantum, non-relativistic, particle with mass m and charge q, evolving under the action of an arbitrary time-independent matgnetic field, derive the expression of the quantized Lorentz force. This application is also the subject of a blog post on MaplePrim...
4–vector potential [15]. In the case of the derivation of the Lorentz force equation given below, not even the latter assumption is required, as the magnetic field definition appears naturally in the course of the derivation. In the chapter on ‘The Electromagnetic Field’ in Misner Tho...
In the context of a gauge theory for the translation group, we have obtained, for a spinless particle, a gravitational analog of the Lorentz force. Then, we have shown that this force equation can be rewritten in terms of magnitudes related to either the teleparallel or the riemannian structu...
Based on a solution of the time-dependent Schrdinger equation, we propose an experimental setup to measure the effect of the Lorentz force in a semiconductor Aharonov-Bohm ring connected to one input and two symmetrically placed output leads. While in a two-terminal device the Lorentz force only...