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def definition def or abbrev

debye_kernel

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formal statement (Lean)

 136def debye_kernel (H : CaldeiraLeggett.TransferFunction) (t : ℝ) : ℝ :=

proof body

Definition body.

 137  (H.Δ / H.τ) * Real.exp (-t / H.τ)
 138
 139
 140/-- Truncated (finite-horizon) frequency response contribution from the Debye kernel:
 141\[
 142K_B(\omega)=\int_0^B \Gamma(t)\,e^{-i\omega t}\,dt.
 143\]
 144The full transfer function is `1 + K_∞(ω)`. -/

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