Some questions about the Finite Potential Well

Guaicai
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How the symmetric and antisymmetric have results: A=0,G=H and B=0,G=-H in last picture ?[emoji53]
 
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Guaicai said:
How the symmetric and antisymmetric have results: A=0,G=H and B=0,G=-H in last picture ?
emoji53.png
Take a pencil and a paper then try drawing the symmetric one first where you have to substitute A=0, G=H into ##\psi_1##, ##\psi_2##, and ##\psi_3##. How does the resulting curve looks like if you make the ##x=0## line as a symmetrical line? Do the same for antisymmetric solution.
 
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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