  We present a semiclassical trace formula for the canonical partition function
of arbitrary one-dimensional systems. The approximation is obtained via the
stationary exponent method applied to the phase-space integration of the
density operator in the coherent state representation. The formalism is valid
in the low temperature limit, presenting accurate results in this regime. As
illustrations we consider a quartic Hamiltonian that cannot be split into
kinetic and potential parts, and a system with two local minima. Applications
to spin systems are also presented.
