recognition /
Thermodynamics /
Thermodynamics.BoltzmannDistribution /
explainer
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formal statement (Lean)
253 def twoLevelSystem (gap : ℝ) : System := {
proof body
Definition body.
254 levels := [
255 ⟨0, 1, by norm_num⟩, -- Ground state
256 ⟨gap, 1, by norm_num⟩ -- Excited state
257 ],
258 nonempty := by norm_num
259 }
260
261 /-- Ground state probability for a two-level system. -/
depends on (10)
Lean names referenced from this declaration's body.
probability
in IndisputableMonolith.Foundation.QuantumLedger
decl_use
for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
decl_use
gap
in IndisputableMonolith.Gap45.Derivation
decl_use
gap
in IndisputableMonolith.Masses.AnchorPolicy
decl_use
gap
in IndisputableMonolith.Masses.RSBridge.Anchor
decl_use
probability
in IndisputableMonolith.QFT.SMatrixUnitarity
decl_use
two
in IndisputableMonolith.QFT.SpinStatistics
decl_use
gap
in IndisputableMonolith.RSBridge.Anchor
decl_use
probability
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
decl_use
System
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
decl_use