Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899244 | Reports on Mathematical Physics | 2015 | 24 Pages |
Abstract
In Rashba–Dresselhaus spin-orbit coupled systems, the calculation of the Green function requires the knowledge of the inverse Fourier transform of rational function P(p)/Q(p), where P(p) takes the values 1 and p2, and where Q(p)=(p2-ζ)2-α2(p12+p22)-β2with suitable parameters α, β ≥ 0, ζ ∈ ℂ. While a two-dimensional problem, with p = (p1, p2), has been recently solved [J. Brüning et al., J. Phys. A: Math. Theor.40 (2007)], its three-dimensional analogue, with p = (p1, p2, p3), remains open. In this paper, a hypergeometric series expansion for the triple integral is provided. Convergence of the series depending on the parameters is studied in detail.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
R. Juršėnas,