Decay Rates of Metastable States in Cubic Potential by Variational Perturbation Theory
Abstract
Variational perturbation theory is used to determine the decay rates of metastable states across a cubic barrier of arbitrary height. For high barriers, a variational resummation procedure is applied to the complex energy eigenvalues obtained from a WKB expansion. For low barriers, the variational resummation procedure converts the nonBorelsummable RayleighSchrödinger expansion into an exponentially fast convergent approximation. The results in the two regimes match each other well and yield very accurate imaginary parts for the energy eigenvalues. This is demonstrated by comparison with the complex eigenvalues obtained from solutions of the Schrödinger equation via the complexcoordinate rotation method.
 Publication:

International Journal of Modern Physics A
 Pub Date:
 1996
 DOI:
 10.1142/S0217751X96002029
 arXiv:
 arXiv:quantph/9502027
 Bibcode:
 1996IJMPA..11.4383K
 Keywords:

 Quantum Physics
 EPrint:
 Int.J.Mod.Phys.A11:43834400,1996