I Classical Mechanics v Quantum Mechanics

INAM KHAN
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I was thinking that what is solid reason behind the failure of Classical Mechanics in Black body radiation? Why classical mechanics not explain the curve at lower or higher range of frequncies.
 
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The reason is the 'Ultraviolet Catastrophe', which is predicted by the Rayleigh-Jeans Law that relates black-body energy emission to frequency and predicts that the energy emitted by a black body increases without limit as frequency increases. Experimental evidence tells us that the UV catastrophe does not happen.

The law is described here, but the proof itself is rather long. David Bohm's text 'Quantum Theory' begins with a proof of this law.
 
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Likes bhobba
thank you sir,
 
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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