The relativistic Schrödinger equation through \texttt{FFTW 3}: an extension of \texttt{quantumfdtd}

DOI10.1016/j.cpc.2021.108250zbMath1530.81137arXiv2006.16935WikidataQ114192726 ScholiaQ114192726MaRDI QIDQ6159600

Sebastian Steinbeißer, Rafael L. Delgado, Michael Strickland, Johannes Heinrich Weber

Publication date: 20 June 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.16935

zbMATH Keywords

Schrödinger equationsquantum mechanicslattice QCDrelativistic Schrödinger equationheavy quarkonia

Mathematics Subject Classification ID

Nuclear physics (81V35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Strong interaction, including quantum chromodynamics (81V05) Numerical methods for discrete and fast Fourier transforms (65T50) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Time-dependent Schrödinger equations and Dirac equations (35Q41) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

• Erratum: ``On-shell improved lattice gauge theories
• A parallel algorithm for solving the 3D Schrödinger equation
• Relativistic harmonic oscillator
• An updated set of basic linear algebra subprograms (BLAS)
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• Version 3 of \texttt{RunDec} and \texttt{CRunDec}

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