Ground state for the X-ray free electron laser Schrödinger equation with harmonic potential

Huan Han, Fanghui Li, Tingjian Luo and Zhengping Wang

Applied Mathematics and Computation, 2021, vol. 401, issue C

Abstract: We study the following X-ray free electron laser (XFEL) Schrödinger equation with harmonic potential(0.1)−Δu+(|x|2+β|x|)u+λ(|x|−1*|u|2)u=ωu+|u|p−1u,x∈R3,where p∈(1,2) and β,λ,ω∈R are parameters. By variational methods we prove the existence of ground states and normalized solutions for (0.1) under suitable assumptions on the parameters. In addition, numerical tests are performed to validate the theoretical results.

Keywords: XFEL Schrödinger equation; Harmonic potential; Ground state; Asynchronous iterative methods (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300321001612
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:401:y:2021:i:c:s0096300321001612

DOI: 10.1016/j.amc.2021.126113

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().