Periodic integrable systems with delta-potentials
From MaRDI portal
Publication:852413
DOI10.1007/s00220-006-1519-6zbMath1116.82020arXivmath/0503034OpenAlexW2073626416MaRDI QIDQ852413
E. Emsiz, Eric M. Opdam, Jasper V. Stokman
Publication date: 29 November 2006
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0503034
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)
Related Items (17)
Existence and uniqueness of time periodic solutions for quantum versions of three-dimensional Schrödinger equations ⋮ Completeness of the Bethe ansatz on Weyl alcoves ⋮ Quantum propagator and characteristic equation in the presence of a chain of δ-potentials ⋮ Discrete series characters for affine Hecke algebras and their formal degrees. ⋮ Traces of integrability in relaxation of one-dimensional two-mass mixtures ⋮ A discrete Fourier transform associated with the affine Hecke algebra ⋮ Discrete harmonic analysis on a Weyl alcove ⋮ Unitary representations of affine Hecke algebras related to Macdonald spherical functions ⋮ Higgs bundles, gauge theories and quantum groups ⋮ An exactly solvable quantum four-body problem associated with the symmetries of an octacube ⋮ Extended trigonometric Cherednik algebras and nonstationary Schrödinger equations with delta-potentials ⋮ Finite-dimensional orthogonality structures for Hall-Littlewood polynomials ⋮ Affine Pieri rule for periodic Macdonald spherical functions and fusion rings ⋮ Harmonic analysis of boxed hyperoctahedral Hall-Littlewood polynomials ⋮ Orthogonality of Bethe ansatz eigenfunctions for the Laplacian on a hyperoctahedral Weyl alcove ⋮ Completeness of the Bethe ansatz for an open \(q\)-Boson system with integrable boundary interactions ⋮ Spherical Hecke algebra in the Nekrasov-Shatashvili limit
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Yang's system of particles and Hecke algebras
- Calculation of norms of Bethe wave functions
- Integrable systems with Delta-potential
- Conservation laws for the nonlinear Schrödinger equation
- Operator calculi associated with reflection groups
- Intertwining operators of double affine Hecke algebras
- Lecture notes on Dunkl operators for real and complex reflection groups
- Elliptic Dunkl operators, root systems, and functional equations
- Harmonic analysis for certain representations of graded Hecke algebras
- A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
- Orthogonality and completeness of the Bethe Ansatz eigenstates of the nonlinear Schrödinger model
- Affine Hecke Algebras and Their Graded Version
- Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension
- Differential-Difference Operators Associated to Reflection Groups
- Notes on the structure of the -function interacting gas. Intertwining operator in the degenerate affine Hecke algebra
- Completely integrable systems and groups generated by reflections
- Nonlinear Schrödinger Model with Boundary, Integrability and Scattering Matrix Based on the Degenerate Affine Hecke Algebra
- Connection between Yangian symmetry and the quantum inverse scattering method
- Exchange operator formalism for integrable systems of particles
- Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction
- Boundary conditions for integrable quantum systems
- Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
- Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
- Differential Equations Invariant Under Finite Reflection Groups
This page was built for publication: Periodic integrable systems with delta-potentials