Convergence Behavior of Variational Perturbation Expansions

Details Convergence Behavior of Variational Perturbation Expansions Convergence Behavior of Variational Perturbation Expansions

1996-09-28

arxiv.org/abs/quant-ph/9609027v1

Physics

Quantum Physics

5 pages, LaTeX + 2 postscript figures. Talk presented by WJ at "Path Integrals from meV to MeV: Dubna '96". See also http://

Scientific paper

Variational weak-coupling perturbation theory yields converging approximations, uniformly in the coupling strength. This allows us to calculate directly the coefficients of `strong-coupling' expansions. For the anharmonic oscillator we explain the physical origin of the empirically observed convergence behavior which is exponentially fast with superimposed oscillations.

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