Manuscript Psy02-B@2 · Psy02-B-v2.tex · section · cfd06e2e

Bath covariances and filters

Track A3: concentration and temporal fluctuations › Bath covariances and filters · lines 672–683

For the thermal bath, let

B (t) = j \sum g_{j} (b_{j} e^{- i ν_{j} t} + b_{j}^{†} e^{i ν_{j} t}), F_{k} = \int_{0}^{T} k (t) B (t) d t

for a real integrable filter. Write $k (ν) = \int_{0}^{T} k (t) e^{i ν t} d t$ .

Displayed formulas in this passage

unlabeled · line 675
$B (t) = j \sum g_{j} (b_{j} e^{- i ν_{j} t} + b_{j}^{†} e^{i ν_{j} t}), F_{k} = \int_{0}^{T} k (t) B (t) d t$