2140 - Notes, Syllabus Section III, lecture 21 (10/18/95)

(Here is the previous lecture )
Conservative forces: review of all the properties and relations regarding conservative forces we've talked about this semester

Review of "proofs" going from each property to the next (e.g, F = -gradV means curl F=0, etc.)

Definition of solenoid fields (Div.F=0), solenoid fields can be written as the curl of a "vector potential"

Discussion of vector potential, and gauge freedom, and relation of symmetries to conservation laws, (Noether)

How to find the vector potential, given the field

Intro to Div grad curl in 3-d, review of grad in spherical

Explanation of Boas' notation (Ch. 10-9) for gradients of arbitrary coordinate systems

Here is the Next lecture