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Section 3.1 Feynman Lectures
Claim 3.1.1 .
The vector potential provides a mathematical framework for electromagnetism that can be generalized to hydrodynamics, which is inherently time dependent. This conceptual transition is discussed in
The Feynman Lectures on Physics , Vol. II, Ch. 15, “The Vector Potential.”
Concept Mathematical Form
Electric field is curl-free
\(\qquad\qquad\qquad\qquad\)
Electrostatic potential
\(\qquad\qquad\qquad\qquad\)
Static charge distribution
\(\qquad\qquad\qquad\qquad\)
Table 3.1.2. Static Electromagnetic Variables (Non-Generalizable)
Concept Mathematical Form
Velocity or vector potential field
\(\qquad\qquad\qquad\qquad\)
Non-zero circulation / vorticity
\(\qquad\qquad\qquad\qquad\)
Time-dependent evolution
\(\qquad\qquad\qquad\qquad\)
Table 3.1.3. Generalized Dynamic Variables (Hydrodynamic / Electrodynamic)
Adapted from Table 15-1 in
[3] from
The Feynman Lectures on Physics , Vol. II, Ch. 15, “The Vector Potential,” Section 15-5.
