Question

Obtain the expression for the generalized momentum for the relativistic particle when the largrangian of the particle

Answer 1

Answer:

Here is your answer

Explanation:

That's not so hard to figure out. The path that a particle takes is specified by the principle of least action. That means the Lagrangian has to be a quantity that is minimised (really extremised). Furthermore, it also must be a function of position and velocity. The relativistic quantity that satisfies these constraints is the proper time interval. Thus the Lagrangian must be proportional to the proper time interval.

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