Lagrangian Methods in Electrodynamics

Agreed, it is possible to derive the Proca equation from a lagrangian as in Ryder “Quantum Field Theory” in which lagrangian methods are used in various ways. They are the standard model methods, highly developed, but very abstract. In dynamics (Marion and Thornton) the covariant derivative of any vector F in three dimensions is:

DF / dt (XYZ frame) = (dF / dt + omega x F) (123 frame)

This equation leads directly to the Euler equations. It can be generalized to the covariant derivative of Cartan geometry for an vector V sup a in any dimension so the angular velocity omega bold is related to the Cartan spin connection.

Sent: 28/01/2017 15:53:48 GMT Standard Time
Subj: Re: Continuing with UFT369

This is very interesting, perhaps this opens a new method for solving eclectromagnetic problems by the Lagrange method.


Am 28.01.2017 um 10:37 schrieb EMyrone:

The next steps will be to show that the Euler equations can be derived from Cartan geometry using well defined spin connections. So in unified field theory there are also Euler equations of electromagnetism for example.

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