Derivation of the Euler-Lagrange Equation: Understanding the Principle of Least Action скачать в хорошем качестве

Derivation of the Euler-Lagrange Equation: Understanding the Principle of Least Action

In this video, we derive the Euler-Lagrange equation and explore the true meaning behind the Principle of Least Action. I also built a simulation to compare Newtonian errors with the flawless math of Lagrangian mechanics caused by Chaos Theory. We'll also see how this single principle scales up to Feynman's Path Integrals in quantum mechanics and geodesics in General Relativity. 0:00 The Limits of Newtonian Physics 1:03 Derivation of Euler-Lagrange Equation 2:50 Explaining Least Aciton Principle 3:40 Double Pendulum Example 6:10 Least Action in Quantum World I hope this video helps you see physics from a different perspective. You can ask any questions related to this topic in the comments.