Lagrangian for relativistic angular momentum

[Frank93]

Hi everyone, I have a question that can't solve. Does exist a lagrangian for the relativistic angular momentum (AM)? I can't even understand the question because it has no sense for me... I mean, the lagrangian is a scalar function of the system(particle,field,...), it isn't a function FOR the conjugate variables. This question is part of a work. I told the professor that I don't understand the question and he told me that read one chapter of Classical Mechanics,Goldstein, the part about action integral for relativistic mechanics, but it doesn t contain anything about Lagrangian for relativistic MA. If you could tell my about some book that contains that, i will be grateful. Thanks!

Pd.: I knowk that the answer is NO, it doesn't exist a Lag for the relativistic AM(professor tolds it to me)

 

[jshtok]

Check out this material: http://applet-magic.com/relamomentum.htm
The 'Relativistic Case' part discusses the Lagrangian of bodies with linear and angular motion, and the preservation of the angular momentum.
Goldstein is also mentioned in end notes.Hope this helps,
Joseph Shtok