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Revista mexicana de física

Print version ISSN 0035-001X

Rev. mex. fis. vol.61 n.3 México May./Jun. 2015

 

Investigación

 

Tunneling of polymer particles

 

A. Martín-Ruiza, E. Chan-Lópezb, A. Carbajal-Domínguezb, and J. Bernalb

 

a Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, 04510 México, D.F. México e-mail: alberto.martin@nucleares.unam.mx

b División Académica de Ciencias Básicas, Universidad Juárez Autónoma de Tabasco, 86690 Cunduacán, Tabasco, México.

 

Received 13 October 2014;
accepted 16 February 2015

 

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.

Keywords: Polymer quantum mechanics; tunneling.

 

PACS: 03.65.-w; 04.60.Pp; 04.60.Ds

 

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