Illusion that shell, subshell and orbitals are the same

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Why was I taught in high school that shell, subshells and orbitals were the same thing?
 
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avito009 said:
Why was I taught in high school that shell, subshells and orbitals were the same thing?

Because your high school teachers (almost certainly rightly) didn't think that you had the mathematical foundations needed to handle something like http://users.aber.ac.uk/ruw/teach/237/hatom.php (Picked pretty much at random, one of many thousands of explanations that you will find if you google for "Schrodinger hydrogen atom solution"), let alone the additional complications that arise in multi-electron atoms.
 
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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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