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On time-step bounds in unitary quantum evolution using the Lanczos method

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Publication:709968
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DOI10.1016/j.cpc.2006.07.005zbMath1196.81112OpenAlexW2167985798MaRDI QIDQ709968

Scott M. Auerbach, N. Mohan Kumar

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.2006.07.005


zbMATH Keywords

time dependent Schrödinger equationquantum dynamicswavepacketsunitary time evolutionLanczos method and time step


Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computational methods for problems pertaining to quantum theory (81-08)


Related Items (3)

A GPGPU based program to solve the TDSE in intense laser fields through the finite difference approach ⋮ A new approach for determining the time step when propagating with the Lanczos algorithm ⋮ Computable upper error bounds for Krylov approximations to matrix exponentials and associated \(\varphi\)-functions



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