The Quantum Faedo-Galerkin Equation: Evolution Operator and Time Discretization

DOI10.1080/01630563.2016.1252393zbMath1375.35432OpenAlexW2598236726MaRDI QIDQ5357018

Joseph W. Jerome

Publication date: 13 September 2017

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2016.1252393

zbMATH Keywords

approximation estimatestime dependent quantum systemstime-ordered evolution operatorsFaedo-Galerkin operator equation

Mathematics Subject Classification ID

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 initial value and initial-boundary value problems involving PDEs (65M60) Computational methods for problems pertaining to quantum theory (81-08) Weak solutions to PDEs (35D30) Schrödinger and Feynman-Kac semigroups (47D08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

On the Faedo-Galerkin method for non-autonomous nonlinear differential systems ⋮ Consistency of local density approximations and quantum corrections for time-dependent quantum systems ⋮ A tight nonlinear approximation theory for time dependent closed quantum systems

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