Elliptic quantum many-body problem and double affine Knizhnik- Zamolodchikov equation
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Publication:1894867
DOI10.1007/BF02099480zbMath0826.35100arXivhep-th/9403136OpenAlexW1983485955MaRDI QIDQ1894867
Publication date: 22 August 1995
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9403136
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65) PDEs in connection with quantum mechanics (35Q40)
Related Items (16)
On elliptic Dunkl operators ⋮ On the affine analogue of Jack and Macdonald polynomials ⋮ Macdonald's evaluation conjectures and difference Fourier transform ⋮ Spherical and Whittaker functions via DAHA. II. ⋮ Quantum Lax pairs via Dunkl and Cherednik operators ⋮ Extended trigonometric Cherednik algebras and nonstationary Schrödinger equations with delta-potentials ⋮ Scattering matrices and affine Hecke algebras ⋮ Hilbert space theory for reflectionless relativistic potentials ⋮ On elliptic Calogero-Moser systems for complex crystallographic reflection groups ⋮ Conserved operators of the generalized elliptic Ruijsenaars models ⋮ Intertwining operators for a degenerate double affine Hecke algebra and multivariable orthogonal polynomials ⋮ Unnamed Item ⋮ The algebraic integrability of the quantum Toda lattice and the Radon transform ⋮ An algebraic approach to the non-symmetric Macdonald polynomial ⋮ Rodrigues formulas for the non-symmetric multivariable polynomials associated with the \(\text{BC}_N\)-type root system ⋮ Hecke-Clifford algebras and spin Hecke algebras. III: The trigonometric type.
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- Some applications of hypergeometric shift operators
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- Shift operators for the quantum Calogero-Sutherland problems via Knizhnik-Zamolodchikov equation
- Commuting families of symmetric differential operators
- An elementary approach to the hypergeometric shift operators of Opdam
- Affine Hecke Algebras and Their Graded Version
- Yang-Baxter equation in long-range interacting systems
- Spectrum of a spin chain with inverse square exchange
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