Large-D Expansion from Variational Perturbation Theory
量子物理
2009-12-06 v1
摘要
We derive recursively the perturbation series for the ground-state energy of the D-dimensional anharmonic oscillator and resum it using variational perturbation theory (VPT). From the exponentially fast converging approximants, we extract the coefficients of the large-D expansion to higher orders. The calculation effort is much smaller than in the standard field-theoretic approach based on the Hubbard-Stratonovich transformation.
引用
@article{arxiv.quant-ph/0504146,
title = {Large-D Expansion from Variational Perturbation Theory},
author = {Sebastian F. Brandt and Axel Pelster},
journal= {arXiv preprint arXiv:quant-ph/0504146},
year = {2009}
}
备注
Author Information under http://hbar.wustl.edu/~sbrandt and http://www.theo-phys.uni-essen.de/tp/ags/pelster_dir