Equation 1 · Part 2 · The Oldest Quantum-Gravity Experiment Is a Neutron Falling

Symbol varepsilon_n

E_n = \varepsilon_n \left(\frac{\hbar^2 m_{g}^2 g^2}{2 m_{i}}\right)^{1/3}

\varepsilon_n

What this part means

the n -th negative zero of the Airy function — 2.

Its job in the formula

varepsilo $n_n$ is an input to the expression that computes the quantity on the left.

Full expressionSymbol varepsilon_nArticle meaning

Where the article explains it

where $\varepsilon_n$ is the n -th negative zero of the Airy function — 2.338, 4.088, 5.521, 6.787, and so on — and the mass has been split deliberately into a gravitational piece $m_{g}$ , which sets how hard the potential pulls, and an inertial piece $m_{i}$ , which sets how the wavefunction spreads in response.

The passage around this formula

…rising above it, gravity playing the same role a laser trap or a magnetic bottle plays in every other cold-atom experiment. The exact solutions are Airy functions, and the allowed energies are $E_n = \varepsilon_n \left(\frac{\hbar^2 m_{g}^2 g^2}{2 m_{i}}\right)^{1/3}$ . where $\varepsilon_n$ is the n -th negative zero of the Airy function — 2.338, 4.088, 5.521, 6.787, and so on — and the mass has been split deliberately into a gravitational piece $m_{g}$ , which sets how hard the potential pulls, and an inertial piece $m_{i}$ , which sets how the wavefunction spreads in…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the surrounding passage

[2] Study of the neutron quantum states in the gravity field ↗

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