Multi-dimensional fission model with a complex absorbing potential
Nuclear Theory
2015-06-23 v1
Abstract
We study the dynamics of multi-dimensional quantum tunneling by introducing a complex absorbing potential to a two-dimensional model for spontaneous fission. We fist diagonalize the Hamiltonian with the complex potential to determine a resonance state as well as its life-time. We then solve the time-dependent Schr\"odinger equation with such basis in order to investigate the tunneling path. We compare this method with the semi-classical method for multi-dimensional tunneling with imaginary time. A good agreement is found both for the life-time and for the tunneling path.
Cite
@article{arxiv.1502.04418,
title = {Multi-dimensional fission model with a complex absorbing potential},
author = {Guillaume Scamps and Kouichi Hagino},
journal= {arXiv preprint arXiv:1502.04418},
year = {2015}
}
Comments
7 pages, 7 figures