Classical Mechanics v Quantum Mechanics

In summary, the failure of Classical Mechanics in explaining black body radiation is due to the 'Ultraviolet Catastrophe' predicted by the Rayleigh-Jeans Law. This law states that the energy emitted by a black body increases without limit as frequency increases, which is not supported by experimental evidence. The proof of this law can be found in David Bohm's text 'Quantum Theory'.
  • #1
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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  • #2
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
  • #3
thank you sir,
 

FAQ: Classical Mechanics v Quantum Mechanics

What is the difference between classical mechanics and quantum mechanics?

Classical mechanics is a branch of physics that describes the behavior of macroscopic objects, while quantum mechanics is a branch of physics that describes the behavior of subatomic particles. Classical mechanics is based on Newton's laws of motion, while quantum mechanics is based on the principles of probability and uncertainty.

Why do we need quantum mechanics if classical mechanics works for macroscopic objects?

While classical mechanics is very accurate for objects in our everyday lives, it breaks down when dealing with very small particles such as atoms and subatomic particles. Quantum mechanics was developed to accurately describe the behavior of these particles and has been proven to be extremely accurate in experiments.

Can classical mechanics and quantum mechanics be reconciled?

Currently, there is no single theory that can fully explain both classical and quantum mechanics. However, efforts are being made to reconcile the two theories, such as the development of quantum field theory, which combines aspects of both classical and quantum mechanics.

What is the role of probability in quantum mechanics?

In classical mechanics, the behavior of objects can be predicted with certainty. In quantum mechanics, however, the behavior of particles is described using probability distributions. This is due to the inherent uncertainty of measuring certain properties of particles, as described by Heisenberg's uncertainty principle.

What are some practical applications of quantum mechanics?

Quantum mechanics has many practical applications, including the development of technologies such as transistors, lasers, and MRI machines. It also plays a crucial role in fields such as chemistry, material science, and cryptography.

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