The Hartree limit of Born's ensemble for the ground state of a bosonic atom or ion
From MaRDI portal
Publication:2872269
DOI10.1063/1.4752475zbMath1286.81179arXiv1204.2511OpenAlexW3100838664WikidataQ60033205 ScholiaQ60033205MaRDI QIDQ2872269
Publication date: 14 January 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.2511
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Statistical thermodynamics (82B30)
Related Items (13)
The semi-classical limit of large fermionic systems ⋮ The mean-field limit of quantum Bose gases at positive temperature ⋮ Gibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions \({d \leqslant 3}\) ⋮ Universal diagonal estimates for minimizers of the Levy-Lieb functional ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ Derivation of Hartree's theory for generic mean-field Bose systems ⋮ On the asymptotic decay of the Schrödinger-Newton ground state ⋮ On two properties of the Fisher information ⋮ Bogoliubov Spectrum of Interacting Bose Gases ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ On a center-of-mass system of coordinates for symmetric classical and quantum many-body problems ⋮ Propagation of chaos for fractional Keller Segel equations in diffusion dominated and fair competition cases ⋮ Introduction to Special Issue: In Honor of Elliott Lieb's 80th birthday
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A remark on the ground state energy of bosonic atoms
- A microscopic derivation of the time-dependent Hartree-Fock equation with Coulomb two-body interaction
- A simple derivation of mean field limits for quantum systems
- Superadditivity of Fisher's information and logarithmic Sobolev inequalities
- On the mean-field limit of bosons with Coulomb two-body interaction
- Monotonicity of quantum ground state energies: Bosonic atoms and stars
- Asymptotics for bosonic atoms
- The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
- The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
- Derivation and classical limit of the mean-field equation for a quantum Coulomb system: Maxwell-Boltzmann statistics
- On the number of bound states of a bosonic \(N\)-particle Coulomb system
- Derivation of the Schrödinger-Poisson equation from the quantum \(N\)-body problem
- Surfaces with prescribed Gauss curvature
- On the (Boltzmann) entropy of non-equilibrium systems
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
- Onsager's ensemble for point vortices with random circulations on the sphere
- Ionization energies of bosonic Coulomb systems
- Mean entropy of states in classical statistical mechanics
- MEAN-FIELD APPROXIMATION OF QUANTUM SYSTEMS AND CLASSICAL LIMIT
- On Thomas-Fermi-von Weizsacker and Hartree energies as functions of the degree of ionisation
- Mean field dynamics of boson stars
- The stability of matter: from atoms to stars
- THE VLASOV CONTINUUM LIMIT FOR THE CLASSICAL MICROCANONICAL ENSEMBLE
- The ground-state energy of a system of identical bosons
- Statistical mechanics of classical particles with logarithmic interactions
- Blowup for nonlinear wave equations describing boson stars
- Gravitating semirelativisticN-boson systems
- Atoms with bosonic electrons in strong magnetic fields
This page was built for publication: The Hartree limit of Born's ensemble for the ground state of a bosonic atom or ion