Tunneling in Fractional Quantum Mechanics

Autor:	de Oliveira, Edmundo Capelas, Vaz Jr, Jayme
Rok vydání:	2010
Předmět:	Mathematical Physics High Energy Physics - Theory Quantum Physics
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8113/44/18/185303
Popis:	We study the tunneling through delta and double delta potentials in fractional quantum mechanics. After solving the fractional Schr\"odinger equation for these potentials, we calculate the corresponding reflection and transmission coefficients. These coefficients have a very interesting behaviour. In particular, we can have zero energy tunneling when the order of the Riesz fractional derivative is different from 2. For both potentials, the zero energy limit of the transmission coefficient is given by $\mathcal{T}_0 = \cos^2{\pi/\alpha}$, where $\alpha$ is the order of the derivative ($1 < \alpha \leq 2$). Comment: 21 pages, 3 figures. Revised version; accepted for publication in Journal of Physics A: Mathematical and Theoretical
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1011.1948 Zobrazit plný text záznamu View this record from Arxiv