Equation 58 · Part 4 · The Entry a Relabeling Cannot Write

subscript

\mathcal H_c = \mathcal H_S

subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

Full expressionsubscriptArticle meaning

The passage around this formula

Return to the genuine coarse-graining set aside earlier: $\Lambda(\rho)$ = $\mathrm{Tr}_B$ [ $\rho$ ] , $\mathcal H_c$ = $\mathcal H_S$ , $H_c$ = $H_S$ . The dual embeds a system observable back into the full space without touching the bath, $\Lambda^\dagger(H_S)$ = $H_S$ $\otimes$ $I_B$ , so

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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.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the article section

[13] Quantum Thermodynamics ↗

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