Spectral splitting method for nonlinear Schrödinger equations with quadratic potential

DOI10.1016/j.jcp.2022.111154OpenAlexW4299637421MaRDI QIDQ2137958

Andrea Sacchetti

Publication date: 11 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.14334

zbMATH Keywords

nonlinear Schrödinger equationevolution operatorharmonic and inverted potentialspectral splitting approximation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) General mathematical topics and methods in quantum theory (81Qxx)

Related Items (1)

Perturbation theory for nonlinear Schrödinger equations

Cites Work

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• On Fourier time-splitting methods for nonlinear Schrödinger equations in the semi-classical limit. II. Analytic regularity
• Remarks on nonlinear Schrödinger equations with harmonic potential
• Mathematical theory and numerical methods for Bose-Einstein condensation
• Spectral splitting method for nonlinear Schrödinger equations with singular potential
• Global existence results for nonlinear Schrödinger equations with quadratic potentials
• Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation
• Quantum tunnelling of a damped and driven, inverted harmonic oscillator

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