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arxiv: quant-ph/9609027 · v1 · pith:3NCSGQDWnew · submitted 1996-09-28 · 🪐 quant-ph

Convergence Behavior of Variational Perturbation Expansions

classification 🪐 quant-ph
keywords behaviorconvergenceexpansionsperturbationvariationalallowsanharmonicapproximations
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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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