Tunneling in Polymer Quantization and the Quantum Zeno Effect
Quantum Physics
2014-10-14 v1
Abstract
As an application of the polymer quantization scheme, in this work we investigate the one dimensional quantum mechanical tunneling phenomenon from the perspective of polymer representation of a non-relativistic point particle and derive the transmission and reflection coefficients. Since any tunneling phenomenon inevitably evokes a tunneling time we attempt an analytical calculation of tunneling times by defining an operator well suited in discrete spatial geometry. The results that we come up with hint at appearance of the Quantum Zeno Effect in polymer framework.
Keywords
Cite
@article{arxiv.1409.7224,
title = {Tunneling in Polymer Quantization and the Quantum Zeno Effect},
author = {Durmus Ali Demir and Ozan Sargin},
journal= {arXiv preprint arXiv:1409.7224},
year = {2014}
}
Comments
21pp,3 figures, to be published in Phys. Lett. A