Conserved Charge: Superconductor Cooper Pair Fixation

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SUMMARY

The discussion centers on the implications of fixed Cooper pair phases in superconductors and their relationship to particle number uncertainty, similar to phenomena observed in photonics. It establishes that the Bardeen-Cooper-Schrieffer (BCS) ground state does not conform to a number operator eigenstate, indicating inherent uncertainties in charge density. This suggests a fundamental connection between superconductivity and quantum uncertainty principles.

PREREQUISITES
  • Understanding of superconductivity principles
  • Familiarity with Bardeen-Cooper-Schrieffer (BCS) theory
  • Knowledge of quantum mechanics, particularly number operators
  • Basic concepts of photonics and particle-wave duality
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  • Explore the implications of BCS ground state in superconductivity
  • Research quantum uncertainty principles in particle physics
  • Investigate the relationship between charge density and Cooper pair phases
  • Learn about photonic systems and their quantum properties
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Physicists, quantum mechanics researchers, and materials scientists interested in the theoretical foundations of superconductivity and quantum uncertainty.

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If the cooper pair phase of a superconductor is fixed. Is there a phase -. particle number uncertainty like in photonics, and as a corollary is there a charge density uncertainty?
 
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Indeed. The BCS ground state is not a number operator eigenstate.
 

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