Open AccessQuantum Mechanical Example of Anti-Tunneling
Author(s) -
T.B. Mitchell
Publication year - 2013
Publication title -
undergraduate journal of mathematical modeling
Language(s) - English
Resource type - Journals
ISSN - 2326-3652
DOI - 10.5038/2326-3652.2.2.6
Subject(s) - quantum tunnelling , rectangular potential barrier , wave function , reflection (computer programming) , particle (ecology) , quantum , schrödinger equation , quantum particle , physics , reflection coefficient , quantum mechanics , classical mechanics , optics , geology , oceanography , computer science , programming language
The probability of a particle being reflected by a semi-infinite energy barrier was solved using Schrödinger's equations that describe the quantum mechanical behavior of the particle. The continuity of the functions at the origin allowed the wave functions and their respective derivatives to be equated. Solution of the resulting system yielded values A1 and B1 which were used to calculate the reflection coefficient, (B1/A1)2. The conclusions obtained from these results stated that the particle would be reflected by the barrier when E