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arXiv · 1408.6603

Tunneling of Polymer Particles

A. Martín-Ruiz·E. Chan-López·A. Carbajal-Domínguez·J. Bernal
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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.

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A. Martín-Ruiz, E. Chan-López, A. Carbajal-Domínguez, J. Bernal. 2014-08-28. Tunneling of Polymer Particles. https://arxiv.org/abs/1408.6603

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