Equation 8 · Part 1 · From Origins to Frontier: A History of Quantum and Condensed-Matter Systems
Symbol omega_D
What this part means
the because.
Its job in the formula
omeg is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol omega_D→Article meaning
Where the article explains it
The formula also predicts an upper ceiling: no phonon-mediated superconductor should exceed roughly 30–40 kelvin, because for any real lattice is bounded.
The passage around this formula
The exponential is the important feature, not decoration: it says depends on the coupling strength in a way that is extraordinarily sensitive at weak coupling and saturates at strong coupling, and it predicts that heavier isotopes of the same element (which lower ) should lower in a specific, measurable way — the isotope effect, observed before BCS existed and one of the clues that pointed toward a phonon mechanism in the first place. The formula also predicts an upper ceiling: no phonon-mediated superconductor should exceed roughly 30–40 kelvin, because for any real lattice is bounded. That ceiling is exactly what shattered in 1986.
Learn the underlying idea
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Sources cited in the article section
- [2] Theory of Superconductivity ↗
- [3] July 1957: Bardeen, Cooper, and Schrieffer submit their paper, 'Theory of Superconductivity' ↗
These citations provide research context; check each source for the exact claim it supports.