TY - JOUR

T1 - Approximation Rectangular Function as Potential Barrier

AU - Wardani, I.

AU - Aisyah, N. D.

AU - Supardi, A.

N1 - Publisher Copyright:
© 2020 Published under licence by IOP Publishing Ltd.

PY - 2020/1/27

Y1 - 2020/1/27

N2 - Quantum tunneling occurs in the isomerization of hydroxymethylene into formaldehyde. Experiments and theory have proven the occurrence of it but both of them have a different result of the half-life of 0.7 hours. The differences the result is the motivation in this study. In theoretical, the probability of quantum tunneling calculates by Wentzel, Kreamer, Berlioun (WKB) approximation. This study calculates probability quantum tunneling use WKB and rectangular function approximation. The calculation of quantum tunneling probability with rectangular function approximation started at 1, 3, 5, 7 until 59 rectangular functions potential barrier use transfer matrix method to simplify the calculation. We use Gaussian function as the potential barrier that the height and width of the potential barrier satisfy the character of the potential barrier in isomerization hydroxymethylene barrier to formaldehyde. And the result, we get the minimum number of rectangular potential barrier to obtain a stable quantum tunneling probability value of 35 potential.

AB - Quantum tunneling occurs in the isomerization of hydroxymethylene into formaldehyde. Experiments and theory have proven the occurrence of it but both of them have a different result of the half-life of 0.7 hours. The differences the result is the motivation in this study. In theoretical, the probability of quantum tunneling calculates by Wentzel, Kreamer, Berlioun (WKB) approximation. This study calculates probability quantum tunneling use WKB and rectangular function approximation. The calculation of quantum tunneling probability with rectangular function approximation started at 1, 3, 5, 7 until 59 rectangular functions potential barrier use transfer matrix method to simplify the calculation. We use Gaussian function as the potential barrier that the height and width of the potential barrier satisfy the character of the potential barrier in isomerization hydroxymethylene barrier to formaldehyde. And the result, we get the minimum number of rectangular potential barrier to obtain a stable quantum tunneling probability value of 35 potential.

UR - http://www.scopus.com/inward/record.url?scp=85079648437&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1445/1/012009

DO - 10.1088/1742-6596/1445/1/012009

M3 - Conference article

AN - SCOPUS:85079648437

SN - 1742-6588

VL - 1445

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012009

T2 - International Symposium on Nanoscience and Nanotechnology in Life Sciences 2017, ISNNLS 2017

Y2 - 28 November 2017 through 29 November 2017

ER -