Convergence of the Optimized Delta Expansion for the Connected Vacuum Amplitude -- Anharmonic Oscillator

Details Convergence of the Optimized Delta Expansion for the Connected Vacuum Amplitude -- Anharmonic Oscillator Convergence of the Optimized Delta Expansion for the Connected Vacuum Amplitude -- Anharmonic Oscillator

1995-02-24

arxiv.org/abs/hep-ph/9502386v2

Phys.Rev.D52:3704-3711,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 14 pages, 4 figures.

Scientific paper

10.1103/PhysRevD.52.3704

The convergence of the linear $\delta$ expansion for the connected generating
functional of the quantum anharmonic oscillator is proved. Using an
order-dependent scaling for the variational parameter $\lambda$, we show that
the expansion converges to the exact result with an error proportional to
$\exp(-cN^{1/3})$.

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