EXACT SOLVABILITY OF THE CALOGERO AND SUTHERLAND MODELS

DOI10.1142/S0217732395002374zbMath1020.37577arXivhep-th/9506105MaRDI QIDQ2728071

Alexander~V. Turbiner, Werner Rühl

Publication date: 31 July 2001

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9506105

zbMATH Keywords

Jack polynomials\(N\)-body problems with identical particlesCalogero and Sutherland \(N\)-body Hamiltoniansexact solvability of models

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Many-body theory; quantum Hall effect (81V70) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (29)

Solvability of the Hamiltonians related to exceptional root spaces: rational case ⋮ SOLVABILITY OF THE G₂ INTEGRABLE SYSTEM ⋮ Cylindrical type integrable classical systems in a magnetic field ⋮ Multiple algebraisations of an elliptic Calogero–Sutherland model ⋮ The quantumn-body problem in dimensiond⩾n– 1: ground state ⋮ Separation equations for 2D superintegrable systems on constant curvature spaces ⋮ Commutative families in \(W_\infty\), integrable many-body systems and hypergeometric \(\tau\)-functions ⋮ Generalized Calogero-Moser systems from rational Cherednik algebras ⋮ Three-body problem in d-dimensional space: Ground state, (quasi)-exact-solvability ⋮ THE QUANTUM H₄ INTEGRABLE SYSTEM ⋮ SUTHERLAND-TYPE TRIGONOMETRIC MODELS, TRIGONOMETRIC INVARIANTS AND MULTIVARIATE POLYNOMIALS III: E₈ CASE ⋮ (Super)conformal many-body quantum mechanics with extended supersymmetry ⋮ One-dimensional quasi-exactly solvable Schrödinger equations ⋮ ON PT-SYMMETRIC EXTENSIONS OF THE CALOGERO AND SUTHERLAND MODELS ⋮ Hidden algebras of the (super) Calogero and Sutherland models ⋮ (Quasi)-exact-solvability on the sphere Sn ⋮ Polynomial forms for quantum elliptic Calogero-Moser Hamiltonians ⋮ SOLVABILITY OF THE F₄ INTEGRABLE SYSTEM ⋮ A QUASI-EXACTLY SOLVABLE N-BODY PROBLEM WITH THE sl(N+1) ALGEBRAIC STRUCTURE ⋮ On factorized Lax pairs for classical many-body integrable systems ⋮ Algebraic quantum Hamiltonians on the plane ⋮ THE QUANTUM H₃ INTEGRABLE SYSTEM ⋮ Four-body problem in d-dimensional space: Ground state, (quasi)-exact-solvability. IV ⋮ The Lie algebraic structure of differential operators admitting invariant spaces of polynomials ⋮ Matrix Calogero-Sutherland Hamiltonians and the multi-dimensional Darboux transformation ⋮ Algebraic exact solvability of trigonometric-type Hamiltonians associated to root systems ⋮ Three-body closed chain of interactive (an)harmonic oscillators and the algebra $sl(4)$ ⋮ EXACTLY SOLVABLE DYNAMICAL SYSTEMS IN THE NEIGHBORHOOD OF THE CALOGERO MODEL ⋮ Three-body problem in 3D space: ground state, (quasi)-exact-solvability

This page was built for publication: EXACT SOLVABILITY OF THE CALOGERO AND SUTHERLAND MODELS