Equation 11 · Part 2 · The Entry a Relabeling Cannot Write

Symbol H_S

\mathcal H_c = \mathcal H_S

H_S

What this part means

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

Its job in the formula

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

Full expressionSymbol H_SArticle meaning

The passage around this formula

A coarse description reports less. It is built from a completely positive, trace-preserving map $\Lambda$ , a quantum channel sending fine states to coarse states, together with a coarse Hilbert space $\mathcal H_c$ and a Hermitian coarse Hamiltonian $H_c$ on it. The simplest case is the partial trace over the bath, $\Lambda(\rho)$ = $\mathrm{Tr}_B$ [ $\rho$ ] with $\mathcal H_c$ = $\mathcal H_S$ ; nothing below depends on that particular choice, and a passive relabeling built from no discarding at all, treated next, is a channel too.

Read this part in the article →

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 →

See this notation across published equations →

Sources cited in the article section

[9] Positive Functions on C*-Algebras ↗

These citations provide research context; check each source for the exact claim it supports.