Generalized Borel Transform Technique in Quantum Mechanics

Details Generalized Borel Transform Technique in Quantum Mechanics Generalized Borel Transform Technique in Quantum Mechanics

2002-08-22

arxiv.org/abs/hep-th/0208164v1

Phys.Lett. B556 (2003) 87-96

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 2 figures

Scientific paper

10.1016/S0370-2693(03)00106-0

We present the Generalized Borel Transform (GBT). This new approach allows one to obtain approximate solutions of Laplace/Mellin transform valid in both, perturbative and non perturbative regimes. We compare the results provided by the GBT for a solvable model of quantum mechanics with those provided by standard techniques, as the conventional Borel sum, or its modified versions. We found that our approach is very efficient for obtaining both the low and the high energy behavior of the model.

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