Discretization of time-dependent quantum systems: real-time propagation of the evolution operator

DOI10.1080/00036811.2013.878863zbMath1304.35591arXiv1309.3587OpenAlexW2963078726WikidataQ58285548 ScholiaQ58285548MaRDI QIDQ2933137

Joseph W. Jerome, Eric Polizzi

Publication date: 10 December 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3587

zbMATH Keywords

HamiltonianGauss quadraturepotential functionstime-ordered evolution operatorstime-dependent quantum systemstime-dependent density functional theory (TDDFT)

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Computational methods for problems pertaining to quantum theory (81-08) Schrödinger and Feynman-Kac semigroups (47D08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

A Variational and Regularization Framework for Stable Strong Solutions of Nonlinear Boundary Value Problems, Convergent iteration in Sobolev space for time dependent closed quantum systems, Consistency of local density approximations and quantum corrections for time-dependent quantum systems, A Theoretical Investigation of Time-Dependent Kohn--Sham Equations, A theoretical investigation of time-dependent Kohn–Sham equations: new proofs, A tight nonlinear approximation theory for time dependent closed quantum systems, Time dependent closed quantum systems: nonlinear Kohn-Sham potential operators and weak solutions

Uses Software

• FEAST

Cites Work

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