Least Action Principle in Physics
Muhammad Gaffar · 2018
We learn physics by starting it from classical problem, where Newton's laws govern the classical physics. In high school or often in early physics in undergraduate, we still solve classic problem with newton's equation of motion. In this article, I will show that there's more alternative way to see classical problem instead seeing from Newton's law, where it seems so boring. The alternative ways we will see that is Lagrangian formula and Hamiltonian's equation of motion. And you will see that Newton's laws less fundamental from alternative methods where they are derived from more fundamental principle, called Least Action Principle. They are still same physics and same result, but different perspective and advantages. Newton's laws have their own advantages, so as Lagrangian and Hamiltonian. Yet, from Lagrangian and Hamiltonian we can see further the beautiful of physics and mathematics inside. Furthermore, we will not just see Least Action Principle in classical paradigm, since we are now lives in physics are governed by Quantum mehcanics, so we will see this principle's completeness from Quantum paradigm. Again, we will see the beautifulness of this principle arise in Quantum Mechanics, and of course the strangeness too.