A theoretical investigation of time-dependent Kohn–Sham equations: new proofs

DOI10.1080/00036811.2019.1679792zbMath1479.35769arXiv1909.00593OpenAlexW2981216469WikidataQ113853647 ScholiaQ113853647MaRDI QIDQ4958381

Gabriele Ciaramella, Martin Sprengel, Alfio Borzì

Publication date: 7 September 2021

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

Full work available at URL: https://arxiv.org/abs/1909.00593

zbMATH Keywords

nonlinear Schrödinger equationtime-dependent density functional theoryKohn-Sham model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) NLS equations (nonlinear Schrödinger equations) (35Q55) 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) Computational density functional analysis in statistical mechanics (82M36)

Related Items (2)

Stabilization for Schrödinger equation with internal damping and boundary disturbance ⋮ Finite-size effects in response functions of molecular systems

Uses Software

• OCTOPUS
• COKOSNUT

Cites Work

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• On time dependent Schrödinger equations: global well-posedness and growth of Sobolev norms
• Investigation of optimal control problems governed by a time-dependent Kohn-Sham model
• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• Regularity and approximability of electronic wave functions
• A COKOSNUT code for the control of the time-dependent Kohn-Sham model
• Approximation of nonlinear evolution systems
• Time dependent closed quantum systems: nonlinear Kohn-Sham potential operators and weak solutions
• Time-dependent density functional theory
• Discretization of time-dependent quantum systems: real-time propagation of the evolution operator
• ON THE TIME-DEPENDENT HARTREE–FOCK EQUATIONS COUPLED WITH A CLASSICAL NUCLEAR DYNAMICS
• Consistency of local density approximations and quantum corrections for time-dependent quantum systems
• A Theoretical Investigation of Time-Dependent Kohn--Sham Equations

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