Fractional Schrödinger equation and anomalous relaxation: Nonlocal terms and delta potentials-Reference-Cited by-同舟云学术

Fractional Schrödinger equation and anomalous relaxation: Nonlocal terms and delta potentials

Published:2021-02-18 Issue:14 Volume:36 Page:2140004
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Lenzi Ervin K.¹²,Evangelista Luiz R.³⁴⁵,Zola Rafael S.³⁴⁵,Petreska Irina⁶,Sandev Trifce⁶⁷⁸

Affiliation:

1. Departamento de Física, Universidade Estadual de Ponta Grossa, Av. Gen. Carlos Cavalcanti, 4748, 84030-900, Ponta Grossa – Paraná PR, Brazil

2. National Institute of Science and Technology for Complex Systems, Centro Brasileiro de Pesquisas Físicas, 22290-180, Rio de Janeiro – RJ, Brazil

3. Departamento de Física, Universidade Estadual de Maringá, Brazil

4. National Institute of Science and Technology on Complex Fluids, Instituto de Física–USP, São Paulo, SP 05508-090, Brazil

5. Departamento de Física, Universidade Tecnológica Federal do Paraná, Avenida Marcilio Dias 635, Apucarana – Paraná, Brazil

6. Institute of Physics, Faculty of Natural Sciences and Mathematics, Ss. Cyril and Methodius University in Skopje, Arhimedova 3, 1000 Skopje, Macedonia

7. Research Center for Computer Science and Information Technologies, Macedonian Academy of Sciences and Arts, Bul. Krste Misirkov 2, 1000 Skopje, Macedonia

8. Institute of Physics & Astronomy, University of Potsdam, D-14776 Potsdam-Golm, Germany

Abstract

We review and extend some results for the fractional Schrödinger equation by considering nonlocal terms or potential given in terms of delta functions. For each case, we have obtained the solution in terms of the Green function approach.

Funder

CNPq

Alexander von Humboldt Foundation

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732321400046

Reference50 articles.

1. Anomalous Diffusion From Basics to Applications

2. Stochastic Foundations in Movement Ecology