A Theoretical Investigation of Time-Dependent Kohn--Sham Equations

DOI10.1137/15M1053517zbMath1365.35132arXiv1701.02124MaRDI QIDQ5737801

Gabriele Ciaramella, Alfio Borzì, Martin Sprengel

Publication date: 30 May 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.02124

zbMATH Keywords

nonlinear Schrödinger equationquantum optimal controltheory of PDEstime-dependent Kohn-Sham equations

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

A COKOSNUT code for the control of the time-dependent Kohn-Sham model ⋮ Consistency of local density approximations and quantum corrections for time-dependent quantum systems ⋮ Investigation of optimal control problems governed by a time-dependent Kohn-Sham model ⋮ Long-time behaviour of time-dependent density functional theory ⋮ A theoretical investigation of time-dependent Kohn–Sham equations: new proofs ⋮ Erratum: A Theoretical Investigation of Time-dependent Kohn--Sham Equations ⋮ A tight nonlinear approximation theory for time dependent closed quantum systems

Uses Software

• OCTOPUS

Cites Work

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• Time dependent closed quantum systems: nonlinear Kohn-Sham potential operators and weak solutions
• Time-dependent density functional theory
• Quantum optimal control using the adjoint method
• Discretization of time-dependent quantum systems: real-time propagation of the evolution operator
• Computational techniques for a quantum control problem with H ¹ -cost
• ON THE TIME-DEPENDENT HARTREE–FOCK EQUATIONS COUPLED WITH A CLASSICAL NUCLEAR DYNAMICS
• Measures, Integrals and Martingales

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