An efficient numerical spectral method for solving the Schrodinger equation

Computing in Science & Engineering ◽

10.1109/mcse.2005.111 ◽

2005 ◽

Vol 7 (6) ◽

pp. 58-66 ◽

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Schrodinger Equation

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Split-operator spectral method for solving the time-dependent Schrödinger equation in spherical coordinates

Physical Review A ◽

10.1103/physreva.38.6000 ◽

1988 ◽

Vol 38 (12) ◽

pp. 6000-6012 ◽

Author(s):

Mark R. Hermann ◽

J. A. Fleck

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Schrodinger Equation ◽

Time Dependent ◽

Spherical Coordinates ◽

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Fourier spectral method with an adaptive time strategy for nonlinear fractional Schrödinger equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22453 ◽

2019 ◽

Vol 36 (4) ◽

pp. 823-838

Author(s):

Haidong Qu ◽

Zihang She

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Schrodinger Equation ◽

Fourier Spectral Method ◽

Fractional Schrödinger Equation ◽

Adaptive Time ◽

Nonlinear Fractional Schrödinger Equation ◽

Fractional Schrodinger Equation

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An improved semi-Lagrangian time splitting spectral method for the semi-classical Schrödinger equation with vector potentials using NUFFT

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.08.015 ◽

2017 ◽

Vol 111 ◽

pp. 144-159 ◽

Author(s):

Zheng Ma ◽

Yong Zhang ◽

Zhennan Zhou

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Schrodinger Equation ◽

Vector Potentials ◽

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A Jacobi-Galerkin Spectral Method for Computing the Ground and First Excited States of Nonlinear Fractional Schrödinger Equation

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.140319.180719 ◽

2020 ◽

Vol 10 (2) ◽

pp. 274-294 ◽

Author(s):

Ying Ma & Lizhen Chen

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Excited States ◽

Schrodinger Equation ◽

Fractional Schrödinger Equation ◽

Nonlinear Fractional Schrödinger Equation ◽

Galerkin Spectral Method ◽

Fractional Schrodinger Equation

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Optimal error estimate of a conformal Fourier pseudo-spectral method for the damped nonlinear Schrödinger equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22264 ◽

2018 ◽

Vol 34 (4) ◽

pp. 1422-1454 ◽

Author(s):

Chaolong Jiang ◽

Wenjun Cai ◽

Yushun Wang

Keyword(s):

Schrödinger Equation ◽

Error Estimate ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Optimal Error Estimate ◽

Optimal Error ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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Solution of the Schrödinger equation by a spectral method

Journal of Computational Physics ◽

10.1016/0021-9991(82)90091-2 ◽

1982 ◽

Vol 47 (3) ◽

pp. 412-433 ◽

Cited By ~ 2410

Author(s):

M.D Feit ◽

J.A Fleck ◽

A Steiger

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Schrodinger Equation

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Time-Splitting Chebyshev-Spectral Method for the Schrödinger Equation in the Semiclassical Regime with Zero Far-Field Boundary Conditions

Journal of Basic & Applied Sciences ◽

10.6000/1927-5129.2013.09.11 ◽

2013 ◽

Author(s):

Ni

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Spectral Method ◽

Schrodinger Equation ◽

Far Field ◽

Field Boundary ◽

Time Splitting ◽

Chebyshev Spectral Method ◽

Semiclassical Regime

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A spectral method for integration of the time-dependent Schrödinger equation in hyperspherical coordinates

Journal of Physics A General Physics ◽

10.1088/0305-4470/38/31/007 ◽

2005 ◽

Vol 38 (31) ◽

pp. 6977-6985 ◽

Author(s):

T Sørevik ◽

L B Madsen ◽

J P Hansen

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Schrodinger Equation ◽

Time Dependent ◽

Hyperspherical Coordinates

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Fourth-order split-step pseudo-spectral method for the modified nonlinear Schrödinger equation

Ships and Offshore Structures ◽

10.1080/17445302.2016.1172832 ◽

2016 ◽

Vol 12 (3) ◽

pp. 424-432 ◽

Author(s):

Wenyue Lu ◽

Jianmin Yang ◽

Xinliang Tian

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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Split-step spectral method for nonlinear schrödinger equation with constant background intensities

Journal of Computational Physics ◽

10.1016/0021-9991(90)90111-d ◽

1990 ◽

Vol 86 (2) ◽

pp. 492-495 ◽

Author(s):

T Geisler ◽

P.L Christiansen ◽

J Mørk ◽

P.S Ramanujam

Keyword(s):

Schrödinger Equation ◽

Spectral Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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