Ground state for the X-ray free electron laser Schrödinger equation with harmonic potential
作者：
Highlights：
• We establish the existence of ground states and normalized solutions of a stationary nonlinear Schrodinger equation modelling beam matter interaction in X-ray free electron lasers.
• We find that the energy of ground state will tend to −∞, as the strength of an electron beam interaction with atomic nucleus tends to zero.
• Our theoretical results are validated by some numerical tests, which also shows the efficiency of our algorithm.
摘要
•We establish the existence of ground states and normalized solutions of a stationary nonlinear Schrodinger equation modelling beam matter interaction in X-ray free electron lasers.•We find that the energy of ground state will tend to −∞, as the strength of an electron beam interaction with atomic nucleus tends to zero.•Our theoretical results are validated by some numerical tests, which also shows the efficiency of our algorithm.
论文关键词：XFEL Schrödinger equation,Harmonic potential,Ground state,Asynchronous iterative methods
论文评审过程：Received 4 July 2020, Revised 14 December 2020, Accepted 14 February 2021, Available online 26 February 2021, Version of Record 26 February 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126113
