The quantumN-body problem in the mean-field and semiclassical regime
From MaRDI portal
Publication:5154195
DOI10.1098/rsta.2017.0229zbMath1470.82016OpenAlexW2791361942WikidataQ52382214 ScholiaQ52382214MaRDI QIDQ5154195
Publication date: 4 October 2021
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rsta.2017.0229
Schrödinger equationclassical limitmathematical physicsWasserstein distancemean field limitHartree equation
Related Items (3)
The Wasserstein distance of order 1 for quantum spin systems on infinite lattices ⋮ Quantum optimal transport with quantum channels ⋮ Hilbert’s sixth problem: the endless road to rigour
Cites Work
- Unnamed Item
- Unnamed Item
- On the mean field and classical limits of quantum mechanics
- The Schrödinger equation in the mean-field and semiclassical regime
- Mean-field limit and semiclassical expansion of a quantum particle system
- A simple derivation of mean field limits for quantum systems
- The Vlasov dynamics and its fluctuations in the \(1/N\) limit of interacting classical particles
- Quantum fluctuations and rate of convergence towards mean field dynamics
- Vlasov equations
- On Wigner measures
- Weak coupling limit of the \(N\)-particle Schrödinger equation
- Wave packets and the quadratic Monge-Kantorovich distance in quantum mechanics
- Derivation of the nonlinear Schrödinger equation from a many body Coulomb system
- MEAN-FIELD APPROXIMATION OF QUANTUM SYSTEMS AND CLASSICAL LIMIT
- Particle approximation of Vlasov equations with singular forces: Propagation of chaos
This page was built for publication: The quantumN-body problem in the mean-field and semiclassical regime