The quantum beating and its numerical simulation

DOI10.1016/j.jmaa.2017.01.047zbMath1376.81077arXiv1610.00379OpenAlexW2963163205MaRDI QIDQ2408776

Claudia Negulescu, Raffaele Carlone, Rodolfo Figari

Publication date: 13 October 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.00379

zbMATH Keywords

weakly singular Volterra integral equationsnon-linear Schrödinger equationnumerical computation of highly oscillatory integralsquantum beating effect

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Computational methods for problems pertaining to quantum theory (81-08) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Molecular physics (81V55) Volterra integral equations (45D05) Numerical integration (65D30) Blow-up in context of PDEs (35B44)

Related Items (7)

Stability of the standing waves of the concentrated NLSE in dimension two ⋮ Numerical approximation of the Schrödinger equation with concentrated potential ⋮ Blow-up for the pointwise NLS in dimension two: absence of critical power ⋮ Prescribed mass ground states for a doubly nonlinear Schrödinger equation in dimension one ⋮ Stability of numerical solutions for Abel-Volterra integral equations of the second kind ⋮ Nonlinear models and bifurcation trees in quantum mechanics: a review of recent results ⋮ Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one

Uses Software

• DLMF

Cites Work

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