Observing Quantum Tunneling in Perturbation Series

Details Observing Quantum Tunneling in Perturbation Series Observing Quantum Tunneling in Perturbation Series

1996-12-16

arxiv.org/abs/hep-th/9612165v3

Phys.Lett. B400 (1997) 341-345

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 2 figures. Phyzzx, Tables.tex, The final version to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(97)00368-7

We apply Borel resummation method to the conventional perturbation series of ground state energy in a metastable potential, $V(x)=x^2/2-gx^4/4$. We observe numerically that the discontinuity of Borel transform reproduces the imaginary part of energy eigenvalue, i.e., total decay width due to the quantum tunneling. The agreement with the exact numerical value is remarkable in the whole tunneling regime $0

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