According to classical physics theories, a moving particle cannot move to an environment with greater potential energy than its total energy during movement. But according to quantum theories, this event is known to be. This event is called tunneling. Tunneling is a probability, and it is measured by a transition coefficient. Correct calculation of this coefficient is very important because very sensitive and important instruments have been developed based on this event, and many events in nature can be explained by tunneling. This coefficient is generally calculated by semi-classical approaches (WKB) and the known formula is an approximate formula. In this paper, the general transmission coefficient of a potential barrier with arbitrary form is calculated by a simple method without any approximation. The results are applied to calculate the half-life values of the nuclei that emit alpha particles. The half-life values obtained from our calculations and the classical method (WKB) have been compared, and it has been found that the new half-life values are exactly consistent with the experimental values.
| Published in | Journal of Photonic Materials and Technology (Volume 5, Issue 2) |
| DOI | 10.11648/j.jmpt.20190502.11 |
| Page(s) | 24-31 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2019. Published by Science Publishing Group |
Tunneling, Transmission Coefficient, Alpha Decay, Half-Life of Alpha Decay
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APA Style
Hasan Hüseyin Erbil. (2019). Calculation a New Transmission Coefficient of Tunneling for an Arbitrary Potential Barrier and Application to Alpha Decay. Journal of Photonic Materials and Technology, 5(2), 24-31. https://doi.org/10.11648/j.jmpt.20190502.11
ACS Style
Hasan Hüseyin Erbil. Calculation a New Transmission Coefficient of Tunneling for an Arbitrary Potential Barrier and Application to Alpha Decay. J. Photonic Mater. Technol. 2019, 5(2), 24-31. doi: 10.11648/j.jmpt.20190502.11
AMA Style
Hasan Hüseyin Erbil. Calculation a New Transmission Coefficient of Tunneling for an Arbitrary Potential Barrier and Application to Alpha Decay. J Photonic Mater Technol. 2019;5(2):24-31. doi: 10.11648/j.jmpt.20190502.11
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Download@article{10.11648/j.jmpt.20190502.11,
author = {Hasan Hüseyin Erbil},
title = {Calculation a New Transmission Coefficient of Tunneling for an Arbitrary Potential Barrier and Application to Alpha Decay},
journal = {Journal of Photonic Materials and Technology},
volume = {5},
number = {2},
pages = {24-31},
doi = {10.11648/j.jmpt.20190502.11},
url = {https://doi.org/10.11648/j.jmpt.20190502.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jmpt.20190502.11},
abstract = {According to classical physics theories, a moving particle cannot move to an environment with greater potential energy than its total energy during movement. But according to quantum theories, this event is known to be. This event is called tunneling. Tunneling is a probability, and it is measured by a transition coefficient. Correct calculation of this coefficient is very important because very sensitive and important instruments have been developed based on this event, and many events in nature can be explained by tunneling. This coefficient is generally calculated by semi-classical approaches (WKB) and the known formula is an approximate formula. In this paper, the general transmission coefficient of a potential barrier with arbitrary form is calculated by a simple method without any approximation. The results are applied to calculate the half-life values of the nuclei that emit alpha particles. The half-life values obtained from our calculations and the classical method (WKB) have been compared, and it has been found that the new half-life values are exactly consistent with the experimental values.},
year = {2019}
}
TY - JOUR T1 - Calculation a New Transmission Coefficient of Tunneling for an Arbitrary Potential Barrier and Application to Alpha Decay AU - Hasan Hüseyin Erbil Y1 - 2019/12/25 PY - 2019 N1 - https://doi.org/10.11648/j.jmpt.20190502.11 DO - 10.11648/j.jmpt.20190502.11 T2 - Journal of Photonic Materials and Technology JF - Journal of Photonic Materials and Technology JO - Journal of Photonic Materials and Technology SP - 24 EP - 31 PB - Science Publishing Group SN - 2469-8431 UR - https://doi.org/10.11648/j.jmpt.20190502.11 AB - According to classical physics theories, a moving particle cannot move to an environment with greater potential energy than its total energy during movement. But according to quantum theories, this event is known to be. This event is called tunneling. Tunneling is a probability, and it is measured by a transition coefficient. Correct calculation of this coefficient is very important because very sensitive and important instruments have been developed based on this event, and many events in nature can be explained by tunneling. This coefficient is generally calculated by semi-classical approaches (WKB) and the known formula is an approximate formula. In this paper, the general transmission coefficient of a potential barrier with arbitrary form is calculated by a simple method without any approximation. The results are applied to calculate the half-life values of the nuclei that emit alpha particles. The half-life values obtained from our calculations and the classical method (WKB) have been compared, and it has been found that the new half-life values are exactly consistent with the experimental values. VL - 5 IS - 2 ER -
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