Transmission through locally periodic potentials in space-fractional quantum mechanics

Jeffrey D. Tare and Jose Perico H. Esguerra

Physica A: Statistical Mechanics and its Applications, 2014, vol. 407, issue C, 43-53

Abstract: 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) for a particle in a chain of N Dirac-δ barriers and, for the other case, a chain of N square barriers. We use a transfer-matrix (M-matrix) approach in the context of SFQM to obtain equations for T(N). For both systems, bandlike structures emerge even for a small number of barriers of as low as N=4 and are more apparent for lower values of Lévy index α considered.

Keywords: Space-fractional quantum mechanics; Space-fractional Schrödinger equation; Piecewise approach; Wave transmission; Periodic potentials (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437114002957
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:407:y:2014:i:c:p:43-53

DOI: 10.1016/j.physa.2014.03.084

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().