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
"Quantum Mechanical Example of Anti-Tunneling,"
Undergraduate Journal of Mathematical Modeling: One + Two:
2, Article 6.
DOI: http://dx.doi.org/10.5038/2326-3622.214.171.124 Available at: http://scholarcommons.usf.edu/ujmm/vol2/iss2/6
Masahiko Saito, Mathematics and Statistics
Scott Campbell, Chemical & Biomedical Engineering