โ Scribed by P Arve; G Bertsch; B Lauritzen; G Puddu
No coin nor oath required. For personal study only.
We propose to approximate the many-body partition function for a system of interacting Fermions by summing static paths of the Hubbard-Stratonovich representation. We demonstrate with a simple two-level model that the approximation is superior to tinite temperature Hartree theory. Corrections to the approximation to second order in the inverse temperature are readily evaluated. i! 1988 Academic Press. Inc.
๐ SIMILAR VOLUMES
An explicit proof is given that no sequence of quasi-classical adiabatic approximations in which intrinsic symmetry re. strictions are relased in any way can give an approprhtely approximated partition function sm;Fller than the one diRctly obtainable in the absence of such a sequence.
## Approximate analytical expressions for the evaluation of the partition function of an anharmonic oscillator characterized by the spectroscopic energy formula E, = hc[w,(n + f)-oex,( n + i)'] have been suggested. By using these expressions partition functions for a set of representative diatomic
A simple formula is presented for calculating the approximate partition function of a hindered internal rotational mode of a polyatomic molecule. The formula gives useful accuracy over the whole range from harmonic oscillator to hindered rotator to free rotator
We use a Hodge decomposition and its generalization to non-abelian flat vector bundles to calculate the partition function for abelian and non-abelian BF theories in \(n\) dimensions. This enables us to provide a simple proof that the partition function is related to the Ray-Singer torsion defined o