Observing quantum tunneling in perturbation series

Hiroshi Suzuki, Hirofumi Yasuta

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We apply Borel resummation to the conventional perturbation series of ground state energy in a metastable potential, V(x) = x2/2 - gx4/4. We observe numerically that the discontinuity of the Borel transform reproduces the imaginary part of the energy eigenvalue, i.e., the total decay width due to quantum tunneling. The agreement with the exact numerical value is remarkable in the whole tunneling regime 0 < g ≲ 0.7.

Original languageEnglish
Pages (from-to)341-345
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number3-4
Publication statusPublished - May 15 1997
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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