One particle equations for many particle quantum systems: The MCTHDF method
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Publication:5305319
DOI10.1090/S0033-569X-09-01181-7zbMath1185.35206MaRDI QIDQ5305319
Claude Bardos, Norbert J. Mauser
Publication date: 22 March 2010
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://www.ams.org/distribution/qam/2010-68-01/S0033-569X-09-01181-7/home.html
Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40)
Uses Software
Cites Work
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- Accuracy of the time-dependent Hartree-Fock approximation for uncorrelated initial states
- A microscopic derivation of the time-dependent Hartree-Fock equation with Coulomb two-body interaction
- Setting and analysis of the multi-configuration time-dependent Hartree-Fock equations
- Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons
- \(N\)-particles approximation of the Vlasov equations with singular potential
- Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems
- The Vlasov dynamics and its fluctuations in the \(1/N\) limit of interacting classical particles
- Global-in-time existence of solutions to the multiconfiguration time-dependent Hartree-Fock equations: a sufficient condition
- An existence proof for the Hartree-Fock time-dependent problem with bounded two-body interaction
- On a class of non linear Schrödinger equations with non local interactions
- Mean field dynamics of fermions and the time-dependent Hartree-Fock equation
- The multiconfiguration equations for atoms and molecules: charge quantization and existence of solutions
- Derivation of the Schrödinger-Poisson equation from the quantum \(N\)-body problem
- Weak coupling limit of the \(N\)-particle Schrödinger equation
- Nonlinear Hartree equation as the mean field limit of weakly coupled fermions
- Solutions of Hartree-Fock equations for Coulomb systems
- Solutions of the multiconfiguration equations in quantum chemistry
- A general approach for multiconfiguration methods in quantum molecular chemistry
- Rigorous derivation of the cubic NLS in dimension one
- Solutions of the multiconfiguration time-dependent Hartree-Fock equations with Coulomb interactions
- L2 ANALYSIS OF THE MULTI-CONFIGURATION TIME-DEPENDENT HARTREE–FOCK EQUATIONS
- PROPERTIES OF NONFREENESS: AN ENTROPY MEASURE OF ELECTRON CORRELATION
- On the Vlasov hierarchy
- Global existence of solutions to the Cauchy problem for time-dependent Hartree equations
- L2 Solutions to the Schrödinger–Poisson System: Existence, Uniqueness, Time Behaviour, and Smoothing Effects
- On the infinitude of non–zero eigenvalues of the single–electron density matrix for atoms and molecules
- On variational approximations in quantum molecular dynamics
- Regularity of the multi-configuration time-dependent Hartree approximation in quantum molecular dynamics
- Quantum Theory of Many-Particle Systems. I. Physical Interpretations by Means of Density Matrices, Natural Spin-Orbitals, and Convergence Problems in the Method of Configurational Interaction
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