Physics – Quantum Physics
Scientific paper
2005-04-20
Journal of Mathematical Physics 46, 112105 (2005)
Physics
Quantum Physics
Author Information under http://hbar.wustl.edu/~sbrandt and http://www.theo-phys.uni-essen.de/tp/ags/pelster_dir
Scientific paper
10.1063/1.2116247
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.
Brandt Sebastian F.
Pelster Axel
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