Local density approximation for the almost-bosonic anyon gas

DOI10.2140/apde.2017.10.1169zbMath1371.35231arXiv1611.00942OpenAlexW3103362222MaRDI QIDQ2362325

Michele Correggi, Douglas Lundholm, Nicolas Rougerie

Publication date: 7 July 2017

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00942

zbMATH Keywords

fractional statisticsanyonsmagnetic Schrödinger operatorThomas-Fermi theorymean-field energy

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (10)

Fermionic behavior of ideal anyons ⋮ Exclusion bounds for extended anyons ⋮ Average field approximation for almost bosonic anyons in a magnetic field ⋮ Semiclassical limit for almost fermionic anyons ⋮ Effects of corners in surface superconductivity ⋮ Hamiltonians for Two-Anyon Systems ⋮ Local density approximation for almost-bosonic anyons ⋮ Magnetic perturbations of anyonic and Aharonov–Bohm Schrödinger operators ⋮ Thomas-Fermi profile of a fast rotating Bose-Einstein condensate ⋮ Differential equations of quantum mechanics

Cites Work

• Unnamed Item
• Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited
• Inhomogeneous vortex patterns in rotating Bose-Einstein condensates
• The transition to a giant vortex phase in a fast rotating Bose-Einstein condensate
• The average field approximation for almost bosonic extended anyons
• Spectral methods in surface superconductivity
• Derivation of the Gross-Pitaevskii equation for rotating Bose gases
• Error bound for the Hartree-Fock energy of atoms and molecules
• Solutions of Hartree-Fock equations for Coulomb systems
• Critical rotational speeds for superfluids in homogeneous traps
• Energy and vorticity in fast rotating Bose–Einstein condensates
• Thomas-fermi and related theories of atoms and molecules
• A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas

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