The Lagrangian density,

was introduced by Boris Podolsky in 1942 as a generalization of Maxwell theory which preserves the linear character of the ⅘field equations yet avoids certain unwanted divergences.

(a) Apply Hamilton’s principle and derive generalized Lagrange equations appropriate to a Lagrangian density of the form

(b) Apply the result of part (a) to L P and show that the equations of motion are

(c) Write out the a ≠ 0 generalizations of Gauss’ law and the Ampere-Maxwell law in three-vector form.

Transcribed Image Text:

Lp = ju Au - 1 Αμο -Foß Foß- - απ -(9, Fβλ)(δρ Εβρ), 2μο P