A parallel algorithm for solving the 3D Schrödinger equation

DOI10.1016/j.jcp.2010.04.032zbMath1197.65127arXiv0904.0939OpenAlexW2102809967MaRDI QIDQ995227

Michael Strickland, David Yager-Elorriaga

Publication date: 13 September 2010

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

Full work available at URL: https://arxiv.org/abs/0904.0939

zbMATH Keywords

convergencenumerical exampleseigenvaluesSchrödinger equationsfinite difference time domainquantum mechanicswavefunctionsparallelized algorithm

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs in connection with quantum mechanics (35Q40) Parallel numerical computation (65Y05)

Related Items (5)

An alternating-direction hybrid implicit-explicit finite-difference time-domain method for the Schrödinger equation ⋮ The relativistic Schrödinger equation through \texttt{FFTW 3}: an extension of \texttt{quantumfdtd} ⋮ Finite difference time domain simulation of arbitrary shapes quantum dots ⋮ Ground and excited states of spherically symmetric potentials through an imaginary-time evolution method: application to spiked harmonic oscillators ⋮ Parallelized FDTD

Uses Software

• Qumax
• QMcBeaver

Cites Work

• Solving the Schrödinger equation for a charged particle in a magnetic field using the finite difference time domain method
• A perfectly matched layer for the absorption of electromagnetic waves
• Solving the Schrödinger equation using the finite difference time domain method
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Low-lying states of two-dimensional double-well potentials
• Absorbing Boundary Conditions for the Schrödinger Equation
• Equation of State Calculations by Fast Computing Machines
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