What is the schrodinger equation?

dbmorpher
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I have seen its name in many articles I have read but I would like to know. What is it and what is its use?
 
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Roughly speaking, S.E. is an equation that governs the time-evolution of a quantum system. That is, if you know the system's state at some time and you would like to know the system's state at some later time, then you have to solve S.E.
 
OK thank you all
 
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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