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Equations of motion from field equations and a gauge-invariant variational principle for the motion of charged particles

✍ Scribed by Dariusz Chruściński; Jerzy Kijowski

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
790 KB
Volume
20
Category
Article
ISSN
0393-0440

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✦ Synopsis

New, gauge-independent, second-order Lagrangian for the motion of classical, charged test particles is proposed. It differs from the standard, gauge-dependent, first-order Lagrangian by boundary terms only. A new method of deriving equations of motion from field equations is developed. When applied to classical electrodynamics, this method enables us to obtain unambiguously the above, second-order Lagrangian from the general energy-momentum conservation principle.

📜 SIMILAR VOLUMES

A gauge-invariant Hamiltonian descriptio
A gauge-invariant Hamiltonian description of the motion of charged test particles
✍ Dariusz Chruściński; Jerzy Kijowski 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 860 KB

New, gauge-independent, second-order Lagrangian for the motion of classical, charged test particles is used to derive the corresponding Hamiltonian formulation. For this purpose a (relatively little known) Hamiltonian description of theories derived from second-order Lagrangians is presented. Unlike

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