Convergence behavior of variational perturbation expansion-- A method for locating Bender-Wu singularities

Details Convergence behavior of variational perturbation expansion-- A method for locating Bender-Wu singularities Convergence behavior of variational perturbation expansion-- A method for locating Bender-Wu singularities

1995-09-12

arxiv.org/abs/quant-ph/9509005v1

Phys. Lett. A206 (1995) 283

Physics

Quantum Physics

Paper texfile convn.tex + figfiles in src (to appear in Phys. Lett. A 205, 101(1995)) Readable in hypertext format under htt

Scientific paper

10.1016/0375-9601(95)00521-4

Variational perturbation expansions have recently been used to calculate directly the strong-coupling expansion coefficients of the anharmonic oscillator. The convergence is exponentially fast with superimposed oscillations, as recently observed empirically by the authors. In this note, the observed behavior is explained and used to determine accurately the magnitude and phase of the leading Bender-Wu singularity which is responsible for the finite convergence radius in the complex coupling constant plane.

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