0 Se p 20 04 Derivation of the Lorentz Force Law , the Magnetic Field Concept and the Faraday - Lenz Law using an Invariant Formulation of the Lorentz Transformation
نویسنده
چکیده
It is demonstrated how the right hand sides of the Lorentz Transformation equations may be written, in a Lorentz invariant manner, as 4–vector scalar products. This implies the existence of invariant length intervals analagous to invariant proper time intervals. This formalism, making essential use of the 4-vector electromagnetic potential concept, provides a short derivation of the Lorentz force law of classical electrodynamics, the conventional definition of the magnetic field, in terms of spatial derivatives of the 4–vector potential and the Faraday-Lenz Law. An important distinction between the physical meanings of the space-time and energy-momentum 4–vectors is pointed out.
منابع مشابه
. cl as s - ph ] 1 9 A ug 2 00 5 Derivation of the Lorentz Force Law , the Magnetic Field Concept and the Faraday – Lenz Law using an Invariant Formulation of the Lorentz Transformation
It is demonstrated how the right hand sides of the Lorentz Transformation equations may be written, in a Lorentz invariant manner, as 4–vector scalar products. This implies the existence of invariant length intervals analogous to invariant proper time intervals. The formalism is shown to provide a short derivation of the Lorentz force law of classical electrodynamics, and the conventional defin...
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