
Finite Temperature Path Integral Method for Fermions and Bosons
The calculation of the density matrix for fermions and bosons in
the Grand Canonical Ensemble allows an efficient way for the inclusion
of fermionic and bosonic statistics at all temperatures. It was shown
that in a Path Integral Formulation fermionic density matrix can be
expressed via an integration over a novel representation of the
universal temperature dependent functional. While several
representations for the universal functional have already been
developed, they are usually presented in a form inconvenient for
computer calculations. In this brief report we discuss a new
representation for the universal functional in terms of the Hankel
functions which is advantageous for computational applications.
