Convergent sequences of perturbative approximations for the anharmonic oscillator I. Harmonic approach

Details Convergent sequences of perturbative approximations for the anharmonic oscillator I. Harmonic approach Convergent sequences of perturbative approximations for the anharmonic oscillator I. Harmonic approach

1995-07-28

arxiv.org/abs/hep-th/9507155v2

Int.J.Mod.Phys. A11 (1996) 5587-5606

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, 12 Postscript figures available through anonymous ftp at ftp://algol.lpm.univ-montp2.fr ; replaces earlier version w

Scientific paper

10.1142/S0217751X9600256X

We present numerical evidence that a simple variational improvement of the
ordinary perturbation theory of the quantum anharmonic oscillator can give a
convergent sequence of approximations even in the extreme strong coupling
limit, the purely anharmonic case. Some of the new techniques of this paper can
be extended to renormalizable field theories.

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