The thermal Bogoliubov transformation in thermo field dynamics is gene
ralized in two respects. First, a generalization of the alpha-degree o
f freedom to tilde non-conserving representations is considered. Secon
dly, the usual 2 x 2 Bogoliubov matrix is extended to a 4 x 4 matrix i
ncluding mixing of modes with non-trivial multiparticle correlations.
The analysis is carried out both for bosons and fermions.