Microcanonical Effective Partition Function for the Anharmonic Oscillator
Statistical Mechanics
2017-08-15 v1
Abstract
The microcanonical effective partition function, constructed from a Feynman-Hibbs potential, is derived using generalized ensemble theory. The form of the effective Hamiltonian is amenable to Monte Carlo simulation techniques and the relevant Metropolis function is presented. Using the derived expression for the microcanonical effective partition function, the low-temperature entropy of a proton in an anharmonic potential is numerically evaluated and compared with the exact quantum mechanical canonical result.
Cite
@article{arxiv.1708.03659,
title = {Microcanonical Effective Partition Function for the Anharmonic Oscillator},
author = {Jonathan L. Belof and Brian Space},
journal= {arXiv preprint arXiv:1708.03659},
year = {2017}
}
Comments
4 pages, 4 figures