Mapping the Calogero model on the anyon model
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Publication:1993684
DOI10.1016/j.nuclphysb.2018.09.011zbMath1400.81220arXiv1805.09899OpenAlexW2804797603MaRDI QIDQ1993684
Stéphane Ouvry, Alexios P. Polychronakos
Publication date: 5 November 2018
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.09899
Convolution as an integral transform (44A35) Many-body theory; quantum Hall effect (81V70) Topological field theories in quantum mechanics (81T45) (2)-body potential quantum scattering theory (81U05) (n)-body problems (70F10)
Related Items (6)
Exact four-point function and OPE for an interacting quantum field theory with space/time anisotropic scale invariance ⋮ Quantum entanglement in the one-dimensional anyonic Hubbard model ⋮ Anyons on the sphere: analytic states and spectrum ⋮ \(T\overline{T}\) deformation of the Calogero-Sutherland model via dimensional reduction ⋮ Two anyons on the sphere: nonlinear states and spectrum ⋮ Exclusion statistics for particles with a discrete spectrum
Cites Work
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- Three integrable Hamiltonian systems connected with isospectral deformations
- Shift operators for the quantum Calogero-Sutherland problems via Knizhnik-Zamolodchikov equation
- The Calogero model---anyonic representation, fermionic extension and supersymmetry
- Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory
- Explicit solution of the (quantum) elliptic Calogero-Sutherland model
- On polynomials interpolating between the stationary state of a \(O (n)\) model and a Q.H.E. ground state
- The physics and mathematics of Calogero particles
- New Completely Integrable Multiparticle Dynamical Systems
- ‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle
- Exchange operator formalism for integrable systems of particles
- Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
- On the relation between the anyon and Calogero models
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