Is Degeneracy Relevant in Classical Physics and Quantum Mechanics?

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SUMMARY

Degeneracy is a critical concept in both classical physics and quantum mechanics, referring to the number of states or configurations of a particle at a specific energy level. In classical physics, degeneracy can apply to various entities, including particles, while in quantum mechanics, it is particularly relevant to atomic systems. The discussion highlights the importance of understanding degeneracy when analyzing physical problems, particularly in contexts such as degenerate matter found in neutron stars. Clarifying the definition of degeneracy is essential for accurate application in theoretical physics.

PREREQUISITES
  • Understanding of classical physics principles
  • Familiarity with quantum mechanics concepts
  • Knowledge of atomic systems and their energy levels
  • Basic grasp of particle physics terminology
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  • Research the role of degeneracy in classical mechanics
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  • Investigate the properties of degenerate matter in neutron stars
  • Study the mathematical representation of degeneracy in quantum states
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Students and professionals in physics, particularly those focused on theoretical physics, quantum mechanics, and astrophysics, will benefit from this discussion on degeneracy.

spaghetti3451
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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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