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Fourier Pseudo-spectral Method For Space-fractional Schr(?)dinger Equation With Rotation Term

Posted on:2022-07-02Degree:MasterType:Thesis
Country:ChinaCandidate:H L QinFull Text:PDF
GTID:2480306737953559Subject:Mathematics
Abstract/Summary:PDF Full Text Request
This paper presents a numerical method for solving fourier pseudo-spectral method for space-fractional Schr(?)dinger equation with rotation term.We first introduce the research background and current situation of the Schr(?)dinger equation.Then based on the Schr(?)dinger equation of the angular momentum rotation term,we use the time-split Fourier pseudo-spectral method to solve the fourier pseudospectral method for space-fractional Schr(?)dinger equation with rotation term(2D and 3D),using the Fourier pseudo-spectral method Split the fourier pseudo-spectral method for space-fractional Schr(?)dinger equation with rotation term to obtain the split format.we discuss the mass conservation and energy conservation properties of the fourier pseudo-spectral method for space-fractional Schr(?)dinger equation with rotation term.The numerical format proves the conservation of mass.Finally,the effectiveness of the method is verified by numerical experiments.
Keywords/Search Tags:Fourier pseudo-spectral method, space-fractional Schr(?)dinger equation, Time-splitting, Conservation of mass
PDF Full Text Request
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