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arXiv · 1502.04418

Multi-dimensional fission model with a complex absorbing potential

Guillaume Scamps·Kouichi Hagino
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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 Schrödinger 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.

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Guillaume Scamps, Kouichi Hagino. 2015-02-16. Multi-dimensional fission model with a complex absorbing potential. https://doi.org/10.1103/physrevc.91.044606

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