Equation 62 · Part 4 · The Entry a Relabeling Cannot Write

Symbol H_B

\Delta E_\Lambda(\rho) = \mathrm{Tr}[\rho(I_S \otimes H_B + H_{SB})]

H_B

What this part means

$H_B$ is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

$H_B$ is one of the signed contributions combined to compute the quantity on the left.

Full expressionSymbol H_BArticle meaning

The passage around this formula

an exact operator identity, not an approximation valid in some limit: the ledger for a system-only description of a system-plus-bath is precisely the bath’s own energy plus the coupling energy between the two, nothing more and nothing less. $\Delta$ $E_\Lambda(\rho)$ = $\mathrm{Tr}$ [ $\rho(I_S \otimes H_B + H_{SB})$ ] for any joint state $\rho$ .

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

[13] Quantum Thermodynamics ↗

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