Hamiltonians for Two-Anyon Systems

zbMath1414.81111arXiv1807.10904MaRDI QIDQ5378100

Michele Correggi, Luca Oddis

Publication date: 11 June 2019

Full work available at URL: https://arxiv.org/abs/1807.10904

zbMATH Keywords

fractional statisticsanyonsAharonov-Bohm potentials

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Forms (bilinear, sesquilinear, multilinear) (47A07) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Special quantum systems, such as solvable systems (81Q80)

Related Items (5)

Average field approximation for almost bosonic anyons in a magnetic field ⋮ Semiclassical limit for almost fermionic anyons ⋮ Diffraction of the Aharonov-Bohm Hamiltonian ⋮ Magnetic perturbations of anyonic and Aharonov–Bohm Schrödinger operators ⋮ A Lieb-Thirring inequality for extended anyons

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The average field approximation for almost bosonic extended anyons
• Statistics in space dimension two
• On the Aharonov-Bohm Hamiltonian
• Fermionic behavior of ideal anyons
• Exclusion bounds for extended anyons
• Well-posedness of the two-dimensional nonlinear Schrödinger equation with concentrated nonlinearity
• On the spectral problem for anyons
• Local exclusion and Lieb-Thirring inequalities for intermediate and fractional statistics
• Local density approximation for the almost-bosonic anyon gas

This page was built for publication: Hamiltonians for Two-Anyon Systems