Variational Resummation of Divergent Series with known Large-Order Behavior

Details Variational Resummation of Divergent Series with known Large-Order Behavior Variational Resummation of Divergent Series with known Large-Order Behavior

1995-07-17

arxiv.org/abs/quant-ph/9507009v1

Phys.Lett. B360 (1995) 65-70

Physics

Quantum Physics

Postscript, see also http://www.physik.fu-berlin.de/~kleinert/institution.html

Scientific paper

10.1016/0370-2693(95)01117-9

Recently-developed variational perturbation expansions converge exponentially fast for positive coupling constants. They do not, however, possess the correct left-hand cut in the complex coupling constant plane, implying a wrong large-order behavior of their Taylor expansion coefficients. We correct this deficiency and present a method of resumming divergent series with their proper large-order behavior. For a given set of expansion coefficients, knowledge of the large-order behavior considerably improves the quality of the approximation.

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