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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.