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;
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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1. G.M. Hossain, V. Husain and S.S. Seahra Phys. Rev. D 81 (2010) 024005. [ Links ]
2. G. Chacón-Acosta, E. Manrique, L. Dagdug and H.A. Morales-Técotl, SIGMA 7 (2011) 100. [ Links ]
3. A. Martín-Ruiz, Phys. Rev. D 90 (2014) 125027. [ Links ]
4. R. Eisberg, and R. Resnick, Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles 2nd ed. (John Wiley and Sons, 1985). [ Links ]
]]>5. H. Salecker, and E.P. Wigner, Phys. Rev. 109 (1958) 571. [ Links ]
6. P.C.W. Davies, Am. J. Phys. 73 (2005) 23. [ Links ]
7. V.S. Olkhovsky, and E. Recami, Physics Reports 214 (1992) 339. [ Links ]
8. M. Razavy, Quantum Theory of Tunneling (World Scientific, 2003). [ Links ]
9. I.S. Gradshteyn, and I.M. Ryzhik, Table of Integrals, Series, and Products, Edited by A. Jeffrey and D. Zwil- linger 4th Edition (Academic Press, New York, 1994). [ Links ]
]]>10. M. A. Gorji, K. Nozari, and B. Vakili, Physics Letters B 735 (2014) 62. [ Links ]
11. G.M. Hossain, , V. Husain, and S.S. Seahra, Phys. Rev. D 82 (2010) 124032. [ Links ]
12. S.S. Seahra, I.A. Brown, G.M. Hossain, and V. Husain, Journal of Cosmology and Astroparticle Physics 2012 (2012) 041. [ Links ]
13. A. Corichi, T. Vukasinak, and J.A. Zapata, Phys. Rev. D 76 (2007) 044016. [ Links ]
14. A. Martín-Ruiz, J. Bernal, and A. Carbajal-Domínguez, Journal of Modern Physics 5 (2014) 44. [ Links ]
]]>15. J. Bernal, A. Martín-Ruiz and J. García-Melgarejo, Journal of Modern Physics 4, 108 (2013). [ Links ]
16. A. Ashtekar, S. Fairhurst, J. L. and Willis, Classical and Quantum Gravity 20 (2003) 1031. [ Links ]
17. E. Flores-González, H.A. Morales-Técotl, and J.D. Reyes, Annals of Physics 336 (2013) 394. [ Links ]
]]>