Is the lagrangian always K.E-PE?

  • #1
Is the lagrangian always K.E-PE?????
I dont think so???
so WHAT REALLY is the physical significance of the lagrangian???
Superficially it appears to be KE-PE,but the lagrangian for a charged particle in a vector potential is 1/2MV.V +qV.A-qW.
where V=velocity
A=vector potential
W=Scalar potential.
If the hamiltonion for the above lagrangian is calculated it turns out to be 1/2MV.V+qW.
So what does the term eV.A represent???
It appears to be the interaction energy.
But why does it dissapaer in the hamiltonion.
 

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