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Stationary state computation for nonlinear Dirac operators (Q2124995)

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Language	Label	Description	Also known as
English	Stationary state computation for nonlinear Dirac operators	scientific article

Statements

scholarly article

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Stationary state computation for nonlinear Dirac operators (English)

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Journal of Computational Physics

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publication date

11 April 2022

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zbMATH Keywords

Dirac equation

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variational methods

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balance operators

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discrete and continuous spectrum

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gradient flow

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B-splines

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jcp.2020.109679

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High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations

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Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces

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Computational performance of simple and efficient sequential and parallel Dirac equation solvers

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A simple pseudospectral method for the computation of the time-dependent Dirac equation with perfectly matched layers

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A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Dirac Equation in the Nonrelativistic Limit Regime

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Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow

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(Semi)-nonrelativistic limits of the Dirac equation with external time-dependent electromagnetic field

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Uniformly Accurate Nested Picard Iterative Integrators for the Dirac Equation in the Nonrelativistic Limit Regime

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On the eigenvalues of operators with gaps. Application to Dirac operators

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Variational characterization for eigenvalues of Dirac operators

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Variational methods in relativistic quantum mechanics

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Stationary states of the nonlinear Dirac equation: A variational approach

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Convergence of a normalized gradient algorithm for computing ground states

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Solution of the Schrödinger equation by a spectral method

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Numerical solution of the time-dependent Dirac equation in coordinate space without fermion-doubling

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A split-step numerical method for the time-dependent Dirac equation in 3-D axisymmetric geometry

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Galerkin method for unsplit 3-D Dirac equation using atomically/kinetically balanced B-spline basis

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Nonlinear Spinor Field

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Nonlinear Spinor Fields

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Introduction to spectral theory. With applications to Schrödinger operators

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Spectral pollution and second-order relative spectra for self-adjoint operators

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Spectral pollution and how to avoid it

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A simple and accurate mixed \(P^{0}-Q^{1}\) solver for the Maxwell-Dirac equations

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The Dirac equation in orthogonal coordinate systems. I. The local representation

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.JCP.2020.109679

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Sitelinks

Mathematics(1 entry)

mardi Publication:2124995

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