Generalized Heine–Stieltjes and Van Vleck polynomials associated with two-level, integrable BCS models

DOI10.1088/1742-5468/2012/08/P08019zbMath1456.82296arXiv1206.2988MaRDI QIDQ3301375

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2988

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12) Basic methods in statistical mechanics (82M99)

Related Items (3)

Ground-state energies of the open and closed \(p + ip\)-pairing models from the Bethe Ansatz ⋮ Bethe ansatz solutions and hidden \(sl(2)\) algebraic structure for a class of quasi-exactly solvable systems ⋮ The spin-s homogeneous central spin model: exact spectrum and dynamics

Cites Work

Unnamed Item
A new family of \(N\)-fold supersymmetry: type B
Quantum phase transitions in Bose-Einstein condensates from a Bethe ansatz perspective
BEC-BCS crossover in a \((p+ip)\)-wave pairing Hamiltonian coupled to bosonic molecular pairs
On higher Heine-Stieltjes polynomials
Electrostatic analogy for integrable pairing force Hamiltonians
Integrability of the Russian doll BCS model
Exactly solvable discrete BCS-type Hamiltonians and the six-vertex model
On spectral polynomials of the Heun equation. I
Spin chains in magnetic field, non-skew-symmetric classical r-matrices and BCS-type integrable systems
On the quantum inverse scattering method for the DST dimer
A law of large numbers for the zeroes of Heine-Stieltjes polynomials
Large-\(N\) limit of the exactly solvable BCS model: Analytics versus numerics
Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators
On asymptotics of polynomial eigenfunctions for exactly solvable differential operators
The evaluation of the zeros of ill-conditioned polynomials. I, II
Electrostatic models for zeros of polynomials: old, new, and some open problems
Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics
Solution of a generalized Stieltjes problem
Non-skew-symmetric classical r-matrices, algebraic Bethe ansatz, and Bardeen–Cooper–Schrieffer–type integrable systems
Algebro-geometric aspects of Heine-Stieltjes theory
The extended Heine–Stieltjes polynomials associated with a special LMG model
Exact polynomial solutions of second order differential equations and their applications
Integrable modifications of Dicke and Jaynes–Cummings models, Bose–Hubbard dimers and classicalr-matrices
A restricted class of exact eigenstates of the pairing-force Hamiltonian
Sum rules for zeros of polynomials. I
Sum rules for zeros of polynomials. II
Ground state of 1D bosons with delta interaction: link to the BCS model
On the optimal stability of the Bernstein basis
On the distribution and interlacing of the zeros of Stieltjes polynomials
A variational approach for the quantum inverse scattering method
Solving the Richardson equations close to the critical points
The ODE/IM correspondence
Spectroscopy of discrete energy levels in ultrasmall metallic grains
Spectral determinants for Schrödinger equation and \({\mathbb{Q}}\)-operators of conformal field theory
Classification of type A \(N\)-fold supersymmetry

This page was built for publication: Generalized Heine–Stieltjes and Van Vleck polynomials associated with two-level, integrable BCS models