Convergence Behavior of Variational Perturbation Expansions
Quantum Physics
2016-09-08 v1
Abstract
Variational weak-coupling perturbation theory yields converging approximations, uniformly in the coupling strength. This allows us to calculate directly the coefficients of `strong-coupling' expansions. For the anharmonic oscillator we explain the physical origin of the empirically observed convergence behavior which is exponentially fast with superimposed oscillations.
Keywords
Cite
@article{arxiv.quant-ph/9609027,
title = {Convergence Behavior of Variational Perturbation Expansions},
author = {Wolfhard Janke and Hagen Kleinert},
journal= {arXiv preprint arXiv:quant-ph/9609027},
year = {2016}
}
Comments
5 pages, LaTeX + 2 postscript figures. Talk presented by WJ at "Path Integrals from meV to MeV: Dubna '96". See also http://www.cond-mat.physik.uni-mainz.de/~janke/doc/home_janke.html