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On quantum separation of variables (Q4687696)

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scientific article; zbMATH DE number 6952706

Language	Label	Description	Also known as
English	On quantum separation of variables	scientific article; zbMATH DE number 6952706

Statements

scholarly article

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On quantum separation of variables (English)

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zbMATH Open document ID

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10.1063/1.5050989

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Journal of Mathematical Physics

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publication date

12 October 2018

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full work available at URL

https://arxiv.org/abs/1807.11572

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

SoV

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variable separation

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quantum integrable system

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lattice model

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Jean-Michel Maillet

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Giuliano Niccoli

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MaRDI profile type

MaRDI publication profile

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Separation of variables in the classical integrable \(\mathrm{SL}(3)\) magnetic chain

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Separation of variables in the quantum integrable models related to the Yangian \(\mathcal Y [sl (3)]\)

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Quantum inverse problem method. I

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Quantum version of the method of inverse scattering problem

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Quantization of solitons and the restricted sine-Gordon model

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Structure of matrix elements in the quantum Toda chain

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Noncompact Heisenberg spin magnets from high-energy QCD. I: Baxter Q-operator and separation of variables

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Quantization of models with non-compact quantum group symmetry: modular XXZ magnet and lattice sinh-Gordon model

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The Baxter–Bazhanov–Stroganov model: separation of variables and the Baxter equation

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Separation of variables in the open \(XXX\) chain

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Separation of variables for integrable spin-boson models

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The sine–Gordon model revisited: I

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Reconstruction of Baxter \(\mathbf Q\)-operator from Sklyanin SOV for cyclic representations of integrable quantum models

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Completeness of Bethe ansatz by Sklyanin SOV for cyclic representations of integrable quantum models

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Functional Bethe ansatz methods for the open<i>XXX</i>chain

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On the form factors of local operators in the lattice sine–Gordon model

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Non-diagonal open spin-1/2<i>X</i><i>X</i><i>Z</i>quantum chains by separation of variables: complete spectrum and matrix elements of some quasi-local operators

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Antiperiodic spin-1/2 \(XXZ\) quantum chains by separation of variables: complete spectrum and form factors

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An antiperiodic dynamical six-vertex model: I. Complete spectrum by SOV, matrix elements of the identity on separate states and connections to the periodic eight-vertex model

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Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables

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On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models

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SOV approach for integrable quantum models associated with general representations on spin-1/2 chains of the 8-vertex reflection algebra

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Open spin chains with generic integrable boundaries: Baxter equation and Bethe ansatz completeness from separation of variables

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Antiperiodic XXZ chains with arbitrary spins: complete eigenstate construction by functional equations in separation of variables

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The eight-vertex model with quasi-periodic boundary conditions

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The open XXX spin chain in the SoV framework: scalar product of separate states

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Problems with using separated variables for computing expectation values for higher ranks

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Matrix Analysis

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Confluent Cauchy and Cauchy-Vandermonde matrices

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On determinant representations of scalar products and form factors in the SoV approach: the XXX case

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The complete spectrum and scalar products for the open spin-1/2 XXZ quantum chains with non-diagonal boundary terms

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Antiperiodic dynamical 6-vertex model by separation of variables II: functional equations and form factors

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Yang-Baxter equation and representation theory. I

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ON SEPARATION OF VARIABLES AND COMPLETENESS OF THE BETHE ANSATZ FOR QUANTUM <sub><i>N</i></sub> GAUDIN MODEL

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Schubert calculus and representations of the general linear group

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The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz

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Gaudin Hamiltonians generate the Bethe algebra of a tensor power of the vector representation of $\mathfrak{gl}_{N}$

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Quantum groups and quantum cohomology

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New construction of eigenstates and separation of variables for SU(\(N\)) quantum spin chains

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On Bethe vectors in \( \mathfrak{g}{\mathfrak{l}}_3 \)-invariant integrable models

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Mathematics(1 entry)

mardi Publication:4687696

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