We tend to think of Classical Physics as straightforward and intuitive and Quantum Mechanics as difficult and conceptually challenging. However, this is not always the case! In classical mechanics, a standard technique for finding the evolution equations for a system is the method of least action, where a functional known as the action is minimized to find the equations of motion. Inside of the action lives a mysterious function known as the Lagrangian. While mundane on the surface, it raises some serious questions on how to interpret classical mechanics.
To answer these questions, we must turn to quantum mechanics, and specifically the Feynman path integral formulation of quantum mechanics. This video shows how to get from the world of quantum mechanics to that of classical physics by a straightforward analogy to the ticking of stopwatches.
Feynman's QED Lectures:
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23 окт 2024