B A question about Schrödinger's equation.

Fuinne
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Hi,

So was Schrödinger's equation basically the birth of the idea that quantum mechanical systems work off probability? Also, I'm sure it's not Heisenberg, but I'm thinking of a physicist who took the wave function Ψ(x,y,z,t) and squared the absolute value of it, and I was wondering what his name was.

Thanks, and have a nice night,
 
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According to a note in Binney and Skinner, The Physics of Quantum Mechanics, it was Max Born who first suggested that the wave function was related to position probability:

For this insight Born won the 1954 Nobel Price for physics. In fact the text of the key paper (Born, M., Z. Physik, 37 863 (1926)) argues that ψ is the probability density, but a note in proof says “On more careful consideration, the probability is proportional to the square of ψ”.
 
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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