English

External Source Method for Kubo-Transformed Quantum Correlation Functions

Quantum Physics 2014-01-08 v1 Statistical Mechanics Chemical Physics

Abstract

We revisit the external source method for Kubo-transformed quantum correlation functions recently proposed by Krishna and Voth. We derive an exact formula and show that the Krishna-Voth formula can be derived as an approximation of our formula. Some properties of this approximation are clarified through a model calculation of the position autocorrelation function for a one-dimensional harmonic oscillator. A key observation is that the Krishna-Voth correlation function has a term which behaves as the secular term in perturbation theory.

Keywords

Cite

@article{arxiv.1401.0983,
  title  = {External Source Method for Kubo-Transformed Quantum Correlation Functions},
  author = {Atsushi Horikoshi},
  journal= {arXiv preprint arXiv:1401.0983},
  year   = {2014}
}

Comments

8 pages, 1 figure

R2 v1 2026-06-22T02:39:29.570Z