Neutron, White Dwarfs and Degeneracy Pressure

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SUMMARY

The discussion centers on the concept of degeneracy pressure in white dwarfs and neutron stars, specifically its relationship with the uncertainty principle. It is established that as electrons are confined to smaller spaces, their momentum becomes increasingly uncertain, leading to high velocities that generate outward pressure. This phenomenon aligns with conservation of energy, as the energy required to trap the electrons originates from their gravitational potential energy prior to entering the degenerate state.

PREREQUISITES
  • Understanding of the uncertainty principle in quantum mechanics
  • Familiarity with concepts of degeneracy pressure
  • Basic knowledge of white dwarfs and neutron stars
  • Grasp of gravitational potential energy principles
NEXT STEPS
  • Study the implications of the uncertainty principle on particle behavior
  • Explore the role of degeneracy pressure in stellar evolution
  • Investigate the properties and formation of neutron stars
  • Examine conservation of energy in quantum systems
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Astronomy students, physicists, and anyone interested in the fundamental principles governing stellar structures and quantum mechanics.

Jimmy87
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Hi,

I have been trying to get some physics behind the cause of the degeneracy pressure but have some confusion with the stuff I have found. Apparently the cause of degeneracy pressure can be explained through the uncertainty principle. If you trap electrons in a smaller and smaller space the momentum becomes very uncertain and approaches the speed of light, hence causing an outward pressure. How does this explanation fit in with conservation of energy. It seems like trapping an electron suddenly gives it a very high velocity which seems to come form nowhere?

Any help is much appreciated
 
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If I'm not mistaken, I believe the energy comes from whatever you use to trap it in the first place. In the case of a neutron star or white dwarf, the energy would come from the particle's gravitational potential energy it had prior to dropping to the degenerate state.
 
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