Numerical errors resulting from finite-difference approximation in computations of a one-dimensional Schrödinger equation with the Trotter formula

DOI10.1016/j.cpc.2007.06.014zbMath1196.65141OpenAlexW2031811123MaRDI QIDQ710125

Norio Inui

Publication date: 18 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.cpc.2007.06.014

zbMATH Keywords

Schrödinger equationparallel algorithmnumerical errorTrotter formula

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)

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Cites Work

• Unnamed Item
• Improved Trotter-like formula
• Generalized Trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems
• Visualizing quantum scattering on the \(CM-2\) supercomputer
• Product formula methods for time-dependent Schrodinger problems

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