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How coordinate Bethe ansatz works for Inozemtsev model (Q2113495)

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scientific article

Language	Label	Description	Also known as
English	How coordinate Bethe ansatz works for Inozemtsev model	scientific article

Statements

scholarly article

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How coordinate Bethe ansatz works for Inozemtsev model (English)

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Communications in Mathematical Physics

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publication date

14 March 2022

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full work available at URL

https://arxiv.org/abs/2009.14513

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zbMATH Keywords

Bethe ansatz

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Heisenberg spin chain

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Haldane-Shastry spin chain

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MaRDI profile type

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AN INTRODUCTION TO YANGIAN SYMMETRIES

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Yang-Baxter equation in long-range interacting systems

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Multi-solitons of the half-wave maps equation and Calogero–Moser spin–pole dynamics

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Commutative rings of partial differential operators and Lie algebras

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The commutativity of integrals of motion for quantum spin chains and elliptic functions identities

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On the second-neighbour correlator in 1D XXX quantum antiferromagnetic spin chain

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Exact quantum numbers of collapsed and non-collapsed two-string solutions in the spin-1/2 Heisenberg spin chain

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Degenerate affine Hecke algebras and Yangians

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A new perspective on the integrability of Inozemtsev's elliptic spin chain

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Yangian-invariant spin models and Fibonacci numbers

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‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle

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‘‘Spinon gas’’ description of the<i>S</i>=1/2 Heisenberg chain with inverse-square exchange: Exact spectrum and thermodynamics

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Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory

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On a set of Bethe-ansatz equations for quantum Heisenberg chains with elliptic exchange

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On the connection between the one-dimensional \(S=1/2\) Heisenberg chain and Haldane-Shastry model

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The extended Bethe Ansatz for infinite \(S=1/2\) quantum spin chains with non-nearest-neighbor interaction

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The Hermite-like description of two-magnon states of 1D quantum \(S=1/2\) chains with elliptic exchange is complete

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On the spectrum of S= 1/2 XXX Heisenberg chain with elliptic exchange

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Invariants of linear combinations of transpositions

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Solution to three-magnon problem for <i>S</i>=1/2 periodic quantum spin chains with elliptic exchange

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Thermodynamics of Inozemtsev's elliptic spin chain

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Anyons and the elliptic Calogero-Sutherland model

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Lamé polynomials, hyperelliptic reductions and Lamé band structure

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Super Lax pairs and infinite symmetries in the 1/<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">r</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>system

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Some combinatorial properties of Jack symmetric functions

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Integrals of motion of the Haldane-Shastry model

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Integrability and algebraic structure of the quantum Calogero-Moser model

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describes a project that uses

Digital Library of Mathematical Functions

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00220-021-04281-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:2113495

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