Decaying steady states of the one-dimensional nonlinear Schr?dinger equation with a constant potential

8th International Congress of Engineering Physics

物理学;工业技术

Torres-Vega, G.^1

Physics Department, Cinvestav, Apdo. postal 14-740, Mexico city

07000, Mexico^1

关键词: Constant Potential;    Dinger equation;    Exponential type;    Infinite barriers;    Non linear;    Nonlinear functions;    Steady state;    Step potentials;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/792/1/012031/pdf
DOI  :  10.1088/1742-6596/792/1/012031

学科分类：工业工程学

来源: IOP

【 摘 要 】

We introduce a set of non-linear functions of real, exponential type that can be useful for dealing with some physical problems. We use these functions to find steady states of the one-dimensional non-linear Schrödinger equation for a condensate between an infinite barrier and a step potential in the case where the height of the step is larger than the chemical potential of the condensate.