Recent content by Stanislav

Sure, it would be informative to investigate the matter by different size scales. At the moment I cannot start any experiments as they require a lot of funding. In 50 years, someone will check all our predictions and say that they were correct.

Interesting, if we in this experiment increase smoothly T (remaining << Tc) we should (according to BCS) observe a strong decrease in the lifetime of pairs - very nice way to verify BCS !

Thank you for your proposals. I will give an answer asap. Now an interesting result may shed light on our discussion: a direct evidence of PERMANENT electronic pairs in a conventional superconductor. The paper "A superconductor free of quasiparticles for seconds"...

Thank you again for your concern about a big problem in physics.

Anyhow, the key question remains open: do the electron pairs recombine when they flow in an eternal supercurrent ? The experiment proposal can be helpful for our knowledge. The main question of the experiment : does the supercurrent decay if the electron pairs recombine in a small non-SC area...

The permanence issue, solved by second quantization with two separate Fock spaces, is also staying within standard quantum mechanics. This approach is unavoidable, for example, when we study two filled bands separated by a gap >> kT.

Exactly, within one momentum space all SC particles are indistinguishable and coherent due the BEC ground state. And second quantization is a correct formalism. But we should take into account there are cases when particles in DIFFERENT states are distinguishable = not interchangeable.

BEC mechanism of non-breaking pairs explains the macroscopic coherence without any logical contradictions

This is possible due to the Bose-Einstein-Condensation of pairs as bosons. BEC bosons are in their ground state, so no energy-momentum transfer is possible. Exactly, these quasiparticle excitations are the weak unmeasurable resistance of superconductor, when the sample seems to be a SC, but the...

Anyway thank you for your attempt to bring the matter "in ordnung".

Here we come back to the first question of the discussion - is an eternal supercurrent possible when the SC carriers annihilate with increasing T ? This question is linked to the question of two momentum spaces. Maybe a short paper can be useful for our case https://hal.science/hal-03427535

I'm sure that the physical separation should be unambiguously described mathematically. A sample of such unambiguity - the Hartree-Fock formalism, where for 2 distinguishable (not-interchangeable) sets of electrons, the crystal wave function is a PRODUCT of TWO Slater determinants (for example...

Yes, promising view at computational methods. One related question is interesting. In crystals all relevant electrons are usually interchangeable and indistinguishable, i.e. every electron may occupy every state, and so we may operate within ONE COMMON momentum space (MS) for our...

For d<100 nm we must take into account new local states formed due to multiple wave function reflections from sample boundaries.

Yes, reasonbly to consider my local permanent states as a special case of Wannier states, when the Fermi surface is close to BZ edges. And Berry curvature peaks are also expected rather on BZ edges than anywhere else, since the local states may have their own DOS, different from usual Fermi...