Equation 68 · Part 3 · The Entry a Relabeling Cannot Write

Symbol E_b

H_B|b\rangle = E_b|b\rangle

E_b

What this part means

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

Its job in the formula

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

Full expressionSymbol E_bArticle meaning

The passage around this formula

…non-interacting bath: set $H_{SB}$ = 0 and let $\rho$ = $\rho_S$ $\otimes$ |b $\rangle$ $\langle$ b| for any system state $\rho_S$ and any bath eigenstate |b $\rangle$ with $H_B$ |b $\rangle$ = $E_b$ |b $\rangle$ . Then $\Delta$ $E_\Lambda(\rho)$ = $E_b$ for every choice of $\rho_S$ whatsoever — a pure constant, entirely independent of what the system is doing, unambiguously assignable to a named, located pile of energy sitting in a part of the world the coarse description agreed in advance not to look at. Nothing is missing in any troubling…

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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 article section

[13] Quantum Thermodynamics ↗

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