TY - JOUR

T1 - Observing quantum tunneling in perturbation series

AU - Suzuki, Hiroshi

AU - Yasuta, Hirofumi

N1 - Funding Information:
The work of H.S. is supported in part by the Ministry of Education Grant-in-Aid for Scientific Research, Nos. 08240207, 08640347, 08640348 and 07304029.

PY - 1997/5/15

Y1 - 1997/5/15

N2 - 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.

AB - 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.

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U2 - 10.1016/S0370-2693(97)00368-7

DO - 10.1016/S0370-2693(97)00368-7

M3 - Article

AN - SCOPUS:0010493035

SN - 0370-2693

VL - 400

SP - 341

EP - 345

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -