Classical Mechanics v Quantum Mechanics

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SUMMARY

The discussion centers on the failure of Classical Mechanics to accurately describe black body radiation, specifically addressing the 'Ultraviolet Catastrophe' predicted by the Rayleigh-Jeans Law. This law incorrectly suggests that energy emission increases indefinitely with frequency, a prediction contradicted by experimental evidence. The resolution of this issue is rooted in Quantum Mechanics, as detailed in David Bohm's text 'Quantum Theory', which provides a comprehensive proof of the law's limitations.

PREREQUISITES
  • Understanding of Classical Mechanics principles
  • Familiarity with the Rayleigh-Jeans Law
  • Basic knowledge of Quantum Mechanics
  • Awareness of black body radiation concepts
NEXT STEPS
  • Study the derivation of the Rayleigh-Jeans Law
  • Explore the concept of black body radiation in Quantum Mechanics
  • Read David Bohm's 'Quantum Theory' for detailed proofs
  • Investigate the implications of the Ultraviolet Catastrophe on modern physics
USEFUL FOR

Physicists, students of physics, and anyone interested in the transition from Classical to Quantum Mechanics, particularly in the context of thermodynamics and radiation theory.

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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thank you sir,
 

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