Equation 8 · Part 1 · No Particle Without a Cosigner

Symbol Omega

\Omega

\Omega

What this part means

the energy gap.

Its job in the formula

Omega is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Full expressionSymbol OmegaArticle meaning

Where the article explains it

The response functional for a pointlike, linearly coupled two-level (Unruh-DeWitt) detector on worldline x( $\tau$ ) , parametrized by its own proper time $\tau$ , with energy gap $\Omega$ and switching function $\chi(\tau)$ controlling when the interaction is on, is

The passage around this formula

The detector, not the mode decomposition, is the object this article works with, for a reason that matters later: a detector’s response is what an experiment can actually report, while “the Bogoliubov coefficients of the true vacuum” is not the kind of thing any apparatus reads off a dial. The response functional for a pointlike, linearly coupled two-level (Unruh-DeWitt) detector on worldline x( $\tau$ ) , parametrized by its own proper time $\tau$ , with energy gap $\Omega$ and switching function $\chi(\tau)$ controlling when the interaction is on, is

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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