Lagrange and Hamiltonian formulations

amjad-sh
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Hello.
Do I need to grasp well the Lagrangian and Hamiltonian formulations in classical mechanics to go through quantum mechanics without struggles?
 
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Yes, you definitely do. Quantum Mechanics relies heavily on the Hamiltonian formalism. Without it there is no hope to understand it. Moreover, if you want to include special relativity into Quantum Mechanics, you do that in a Lagrangian formalism. So I would say yes, absolutely.
 
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Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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