Conserved Charge: Superconductor Cooper Pair Fixation

[0xDEADBEEF]

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?

 

[genneth]

Indeed. The BCS ground state is not a number operator eigenstate.

 

[charng]

I can provide a response to the topic of conserved charge and superconductor cooper pair fixation. First, let me clarify that a conserved charge refers to a physical quantity that remains constant over time, such as electric charge. In the case of superconductors, the Cooper pair fixation refers to the phenomenon where pairs of electrons become bound together and move through the material without resistance, resulting in zero electrical resistance.

To answer the question, if the Cooper pair phase of a superconductor is fixed, there is no phase-particle number uncertainty as seen in photonics. This is because in superconductors, the Cooper pairs act as one entity, and their behavior is described by a single wave function. Therefore, there is no uncertainty in the number of particles involved in the superconducting state.

As a corollary, there is also no charge density uncertainty in superconductors. This is because, in a superconducting state, the charge carriers (electrons) are paired up and move together, resulting in a uniform charge density throughout the material. This is different from photonics, where the photons are individual particles that can have varying densities.

In summary, the Cooper pair fixation in superconductors eliminates the phase-particle number and charge density uncertainties that are observed in photonics. This is due to the unique behavior of Cooper pairs, which act as one entity in the superconducting state. Further research in this area may provide a deeper understanding of the behavior of superconductors and their potential applications in various fields.