FEYNMAN'S PATH INTEGRAL FORMULATION AND THE PRINCIPLE OF LEAST ACTION
Classical Mechanics and Least Action- Let's do a thought experiment, Shall we? I assume the silence to be a YES. Okay, Let's suppose that you are somewhere in Tokyo and you want to go to someplace in the city. You open maps on your cell phone and it shows you a lot of paths. Which path are you going to choose? assuming that there is no bias involvement. It is very obvious that the path which requires the least action to get to the destination will be the choice. This is somewhat the principle of least action and in some sense our universe is lazy. According to the principle of least action, an object will always follow a path that minimizes the quantity called Action which is the integral of energy difference (kinetic and potential energy) of the Initial and final states of that object over the travel time. Languranian Mechanics The vector q here is a point in the configuration space of the system. This is as much as fundamental the universe gets. Now let&#
