Understanding Lagrangian Action: Tips from a Student

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The action, denoted as S, is defined as the integral of the Lagrangian over time between two specified limits. It serves as a fundamental functional in theoretical physics, particularly in classical mechanics. Understanding the physical meaning of action can be challenging, despite its mathematical definition. The extremum principle associated with action is a key concept in nature. For further clarity, Feynman's lectures are recommended as a valuable resource.
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Hi, I've just started a course in Classical Mechanics, in 3rd year undergraduate physics, and I'm a bit confused as to what exactly an ACTION is.
All we've been told is that the action, S is defined as the integral from t1 to t2 of the Lagrangian with respect to time.
Thanks in advance

Ray Veldkamp
 
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Thanks for the help, I'm sure I'll have plenty more Classical mechanics questions this semester
 
It is the essential functional in all theoretical physics...For discrete systems,it is indeed the integral of the function called LAGRANGIAN wrt time between specifed fixed limits.

Daniel.

Adn the extremum principle joining it is the fundamental principle in nature.
 
rayveldkamp said:
Hi, I've just started a course in Classical Mechanics, in 3rd year undergraduate physics, and I'm a bit confused as to what exactly an ACTION is.
All we've been told is that the action, S is defined as the integral from t1 to t2 of the Lagrangian with respect to time.
The action is easy enough to define mathematically but its physical meaning is a very difficult thing to understand. I struggle with it. I would highly recommend Feynman's lecture - Chapter 19 in Volume II of The Feynman Lectures on Physics.

AM
 
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