کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
975451 | 1480166 | 2014 | 11 صفحه PDF | دانلود رایگان |
• Transmission probabilities are calculated for a chain of NN Dirac-delta barriers.
• Transmission probabilities are calculated for a chain of NN square barriers.
• Transfer-matrix approach is used for calculation of transmission probabilities.
• Bandlike structures emerge even for a small number of barriers.
• Bandlike structures are more apparent for smaller values of Lévy index considered.
We study transmission through locally periodic potentials in the framework of space-fractional quantum mechanics (SFQM). In particular, we calculate the transmission probabilities T(N)T(N) for a particle in a chain of NN Dirac-δδ barriers and, for the other case, a chain of NN square barriers. We use a transfer-matrix (M-matrix) approach in the context of SFQM to obtain equations for T(N)T(N). For both systems, bandlike structures emerge even for a small number of barriers of as low as N=4N=4 and are more apparent for lower values of Lévy index αα considered.
Journal: Physica A: Statistical Mechanics and its Applications - Volume 407, 1 August 2014, Pages 43–53