Equation 20 · Part 1 · Every Crystal Has Its Own Speed of Light
superscript
superscript
What this part means
A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.
Its job in the formula
A raised mark can be a power or an index. Its position and the surrounding notation determine which.
Full expression→superscript→Article meaning
The passage around this formula
Line up every platform where this cone speed has actually been measured, under one fixed convention — the cone-front group velocity at the relevant filling or interaction strength — and the span comes out to nine and a half orders of magnitude, not the round eleven a first pass at the argument reached for. The bottom of the range is Cheneau’s Bose-Hubbard cone, at 1.1 millimetres per second; the top is graphene’s Dirac cone, whose Fermi velocity runs from about 110^{6} metres per second at ordinary carrier density up to roughly 310^{6} metres per second near the point where the conduction and valence bands touch, boosted there by weakly screened electron-electron interactions [ 7…
Learn the underlying idea
An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.
Open the illustrated exponents: repeated multiplication and powers guide →
Sources cited in the article section
- [12] Phononic Bandgap Nano-Acoustic Cavity with Ultralong Phonon Lifetime ↗
- [11] Multispinon Continua at Zero and Finite Temperature in a Near-Ideal Heisenberg Chain ↗
- [14] Probing Quantum Information Propagation with Out-of-Time-Ordered Correlators ↗
These citations provide research context; check each source for the exact claim it supports.