what is action integral?What is it for?(In the calculation of variation)

Expert Solution

Action is related to the dynamics of a physical system from which the equations of motion of the system can be derived through the principle of stationary action. Action is a mathematical functional, which takes the trajectory of any system as its arguement.

Classical mechanics postulates that the path actually followed by a physical system is that for which the action is minimized, or more generally, is stationary on the basis of Hamilton principle. Classical equations of motion of a system can be derived by minimizing the value of action integral and is basically helps to find the dynamics of particle i.e. to find the Euler Lagrange equation.

It having the form as

where L is the lagrangian

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genius_generous answered 1 year ago

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what is action integral?What is it for?(In the calculation of variation)

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