Large-D expansion from variational perturbation theory | Zendy

Sebastian F. Brandt | Zendy; Axel Pelster | Zendy

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Large-D expansion from variational perturbation theory

Author(s) -

Sebastian F. Brandt,

Axel Pelster

Publication year - 2005

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.2116247

Subject(s) - anharmonicity , perturbation theory (quantum mechanics) , perturbation (astronomy) , mathematical physics , ground state , series expansion , singular perturbation , mathematics , physics , poincaré–lindstedt method , exponential growth , quantum mechanics , quantum electrodynamics

We derive recursively the perturbation series for the ground-state energy ofthe D-dimensional anharmonic oscillator and resum it using variationalperturbation theory (VPT). From the exponentially fast converging approximants,we extract the coefficients of the large-D expansion to higher orders. Thecalculation effort is much smaller than in the standard field-theoreticapproach based on the Hubbard-Stratonovich transformation.

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