Completeness of the Bethe ansatz for an open \(q\)-Boson system with integrable boundary interactions

DOI10.1007/s00023-018-0658-6zbMath1388.81240arXiv1611.05922OpenAlexW3097975653MaRDI QIDQ1750631

E. Emsiz, Ignacio Nahuel Zurrián, Jan Felipe van Diejen

Publication date: 22 May 2018

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.05922

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Quantum field theory on lattices (81T25) Exactly solvable models; Bethe ansatz (82B23) Many-body theory; quantum Hall effect (81V70) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (8)

Discrete Fourier transform associated with generalized Schur polynomials ⋮ Half-space stationary Kardar-Parisi-Zhang equation ⋮ On the basic representation of the double affine Hecke algebra at critical level ⋮ Spectral analysis of an open \(q\)-difference Toda chain with two-sided boundary interactions on the finite integer lattice ⋮ Delta-Bose gas on a half-line and the Kardar–Parisi–Zhang equation: boundary bound states and unbinding transitions ⋮ Solutions of convex Bethe ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials ⋮ Harmonic analysis of boxed hyperoctahedral Hall-Littlewood polynomials ⋮ $q$-Deformation of the Kac-Sylvester tridiagonal matrix

Cites Work

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• A \(q\)-weighted version of the Robinson-Schensted algorithm
• Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz
• Orthogonality of Bethe ansatz eigenfunctions for the Laplacian on a hyperoctahedral Weyl alcove
• Yang's system of particles and Hecke algebras
• Periodic integrable systems with delta-potentials
• Diagonalization of an integrable discretization of the repulsive delta Bose gas on the circle
• Quantum inverse scattering method for the \(q\)-boson model and symmetric functions
• Intertwining operators and the quantum inverse method for the nonlinear Schrödinger equation
• The \(\widehat {\mathfrak {sl}}(n)_k\)-WZNW fusion ring: a combinatorial construction and a realisation as quotient of quantum cohomology
• Multivariable Wilson polynomials and degenerate Hecke algebras
• Integrable systems with Delta-potential
• Loop groups, anyons and the Calogero-Sutherland model
• Correlation functions for a strongly correlated boson system
• Difference Fourier transforms for nonreduced root systems
• Orthogonal polynomials associated with root systems
• Nonsymmetric Koornwinder polynomials and duality
• The Poincaré series of a Coxeter group
• Factorized weight functions vs. factorized scattering
• On the Plancherel formula for the (discrete) Laplacian in a Weyl chamber with repulsive boundary conditions at the Walls
• Second quantization of the elliptic Calogero-Sutherland model
• Cylindric versions of specialised Macdonald functions and a deformed Verlinde algebra
• Trigonometric Cherednik algebra at critical level and quantum many-body problems
• Orthogonality and completeness of the Bethe Ansatz eigenstates of the nonlinear Schrödinger model
• Discrete harmonic analysis on a Weyl alcove
• The semi-infinite \(q\)-boson system with boundary interaction
• Buildings and Hecke algebras.
• Diagonalization of the infinite \(q\)-boson system
• Refined Cauchy/Littlewood identities and six-vertex model partition functions. III. Deformed bosons
• Orthogonality of Macdonald polynomials with unitary parameters
• On the integrability of zero-range chipping models with factorized steady states
• A deformation of affine Hecke algebra and integrable stochastic particle system
• q-bosons, Toda lattice, Pieri rules and Baxterq-operator
• Affine Hecke Algebras and Their Graded Version
• Boxed plane partitions as an exactly solvable boson model
• The Bethe Wavefunction
• Exact results for one-dimensional totally asymmetric diffusion models
• Completely integrable systems and groups generated by reflections
• A q-deformed completely integrable Bose gas model
• Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction
• Boundary conditions for integrable quantum systems
• EXACT SOLVING q DEFORMED BOSON MODEL UNDER OPEN BOUNDARY CONDITION
• Spectral theory for the -Boson particle system
• Spherical functions on a 𝔭-adic Chevalley group
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State

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