Nonabelian statistics for Calogero-Sutherland systems of particles.
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Publication:1972742
DOI10.1007/BF02465895zbMath1071.81594OpenAlexW2057458192MaRDI QIDQ1972742
Valentina Golubeva, V. P. Leksin
Publication date: 13 April 2000
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02465895
Many-body theory; quantum Hall effect (81V70) Additive difference equations (39A10) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)
Cites Work
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- Monodromy representations of braid groups and Yang-Baxter equations
- Current algebras and Wess-Zumino model in two dimensions
- Quantum field theory and the Jones polynomial
- Combinatorics and topology of complements of hyperplanes
- The \(D_ n\) generalized pure braid group
- Braided groups and algebraic quantum field theories
- Integrable connections related to zonal spherical functions
- Fiber bundles with degenerations and their applications to computing fundamental groups
- Shift operators for the quantum Calogero-Sutherland problems via Knizhnik-Zamolodchikov equation
- Integration of quantum many-body problems by affine Knizhnik- Zamolodchikov equations
- Anyons associated with the generalized braid groups
- Some monodromy representations of generalized braid groups
- On the Veselov-Felder reconstruction formula in the theory of Calogero-Sutherland operators
- Many-body systems with nonabelian statistics
- Generalized Knizhnik-Zamolodchikov equations and the factorization of their solutions
- Vector version of Matsuo-Cherednik equation for the root system \(G_ 2\)
- Multicomponent Calogero model of \(B_N\)-type confined in a harmonic potential
- On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
- Differential-Difference Operators Associated to Reflection Groups
- A CONSTRUCTIVE QUANTUM FIELD THEORETIC APPROACH TO CHERN-SIMONS THEORY
- BoundaryK-matrix, elliptic Dunkl operator and quantum many-body systems
- On a generalization of Hilbert's 21st problem
- Topological aspects of spin and statistics in nonlinear sigma models
- Integral representation for the eigenstates of the spin system with inverse square interactions
- Gauge-invariant anyon operators and spin-statistics relation in Chern-Simons matter field theory
- Boundary K-matrices for the XYZ, XXZ and XXX spin chains
- On Wick algebras with braid relations
- Complete integrability of generalized Knizhnik–Zamolodchikov equations of trigonometric type