Constrained quantum motion in δ-potential and application of a generalized integral operator

被引：10
|
作者：
Sandev, Trifce [1 ,2 ,3 ]
Petreska, Irina [2 ]
Lenzi, Ervin K. [4 ]
机构：
[1] Radiat Safety Directorate, Partizanski Odredi 143,POB 22, Skopje 1020, North Macedonia
[2] Ss Cyril & Methodius Univ, Fac Nat Sci & Math, Inst Phys, Arhimedova 3, Skopje 1000, North Macedonia
[3] Macedonian Acad Sci & Arts, Res Ctr Comp Sci & Informat Technol, Bul Krste Misirkov 2, Skopje 1000, North Macedonia
[4] Univ Estadual Ponta Grossa, Dept Fis, Av Carlos Cavalcanti 4748, BR-84030900 Ponta Grossa, PR, Brazil
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2019年 / 78卷 / 05期
关键词：
Schrodinger equation; Fractional calculus; Fox H-function; Mittag-Leffler function; ANOMALOUS DIFFUSION; FRACTIONAL CALCULUS; MODELS; DYNAMICS;
D O I：
10.1016/j.camwa.2018.11.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A quantum motion of a particle along the x-direction constrained at y = 0 in presence of the Dirac delta-potential is considered. The Green's function approach is applied for solving the corresponding two-dimensional Schrodinger equation. The exact results for the Green's function are presented in terms of the Fox H-function, and a generalized integral operator which contains the Mittag-Leffler function in the kernel. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1695 / 1704
页数：10
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