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

页码：1695 / 1704

页数：10

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