Is Degeneracy Relevant in Classical Physics and Quantum Mechanics?

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Degeneracy refers to the number of states or configurations a particle can occupy at a specific energy level. It exists in both classical and quantum physics, affecting various entities, including particles. In quantum mechanics, degeneracy is not limited to atomic systems; it can apply to other contexts as well. The discussion also touches on the distinction between degeneracy in general and degenerate matter, such as that found in neutron stars. Understanding degeneracy is crucial for analyzing physical systems and their behaviors.
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I have been told that I need to be careful to check whether degeneracy is relevant to a given problem. What does that mean?

Does the concept of degeneracy exist within the framework of classical physics? Is so, which entities are degenerate? Particles? How?

Is the concept of degeneracy in quantum mechanics only applicable to atomic systems?
 
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Can you give an overview of the problem?
 
These are not problems. Just a few theoretical questions
 
Are you talking about degenerate matter? As in the stuff in neutron stars?
 
No! This is my definition of degeneracy. Degeneracy is the number of states/configurations of a particle at a given energy level.
 
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