 Effects of the medium fractionality and oscillating potential profiles on the Superarrivals of the Gaussian wave packetsD. Haji Taghi Tehrani and M. Solaimani Chaos, Solitons & Fractals, 2023, vol. 168, issue C Abstract: So far, the less studied superarrival concept is only investigated in the standard integer-order Schrodinger equation formalism. In this research, we assume a fractional Schrodinger equation. Also, in the available papers on the superarrival phenomenon, a monotonic increasing or decreasing potential profile is considered, while here, an oscillating potential profile is supposed. A Gaussian wave packet impinging on an oscillating potential profile has been explored. It is shown that the wave packet velocity changes according to relation α/2 kα-1 = v, assuming ћ = 1and m = 1. The wave packet traveling speed slows down using the fractionality order α. Also, we have demonstrated that the fractionality order α can be used as a tuning tool to obtain atypical early arrival magnitude η. Finally, we propose that the superarrival concept can be experimentally tested by impinging a Gaussian wave packet on an oscillating potential profile that can be realized in the tautomerization and isomerization reactions. Keywords: Fractional Schrodinger equations; Superarrivals; Gaussian wave packets; Oscillating potential profile (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000395 DOI: 10.1016/j.chaos.2023.113138 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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