Tunneling of Polymer Particles
Abstract
In this paper we study the tunneling using a background independent (polymer) quantization scheme. We show that at low energies, for the tunneling through a single potential barrier, the polymer transmission coefficient and the polymer tunneling time converge to its quantum-mechanical counterparts in a clear fashion. As the energy approaches the maximum these polymer quantities abruptly decrease to zero. We use the transfer matrix method to study the tunneling through a series of identical potential barriers. We obtain that the transmission coefficients (polymer and quantum-mechanical) behave qualitatively in a similar manner, as expected. Finally we show that the polymer tunneling time exhibits anomalous peaks compared with the standard result. Numerical results are also presented.
Cite
@article{arxiv.1408.6603,
title = {Tunneling of Polymer Particles},
author = {A. Martín-Ruiz and E. Chan-López and A. Carbajal-Domínguez and J. Bernal},
journal= {arXiv preprint arXiv:1408.6603},
year = {2014}
}