New nonsymmetric orthogonal basis for the Calogero model with distinguishable particles
DOI10.1016/S0375-9601(98)00769-5zbMath0941.81058arXivcond-mat/9803283WikidataQ127255267 ScholiaQ127255267MaRDI QIDQ1966823
Miki Wadati, Akinori Nishino, Hideaki Ujino
Publication date: 8 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/9803283
conserved operatorssimultaneous eigenfunctionsCalogero Hamiltoniannonsymmetric Hi-Jack polynomialnonsymmetric orthogonal basis
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Calogero-Sutherland model and polynomials with prescribed symmetry
- Confluent hypergeometric orthogonal polynomials related to the rational quantum Calogero system with harmonic confinement
- Some combinatorial properties of Jack symmetric functions
- Harmonic analysis for certain representations of graded Hecke algebras
- Multicomponent Calogero model of \(B_N\)-type confined in a harmonic potential
- ON AN EXPLICIT SET OF COMPLETE EIGENFUNCTIONS FOR THE CALOGERO–SUTHERLAND MODEL
- Differential-Difference Operators Associated to Reflection Groups
- The Yangian symmetry in the spin Calogero model and its applications
- An orthogonal basis for the -type Calogero model
- Yang-Baxter equation in long-range interacting systems
- Common algebraic structure for the Calogero - Sutherland models
- Algebraic Construction of a New Symmetric Orthogonal Basis for the Calogero Model
- Orthogonality of the Hi-Jack Polynomials Associated with the Calogero Model
- Rodrigues Formula for Hi-Jack Symmetric Polynomials Associated with the Quantum Calogero Model
- A Simple Derivation of Multivariable Hermite and Legendre Polynomials
- Algebraic Construction of the Eigenstates for the Second Conserved Operator of the Quantum Calogero Model
- The Quantum Calogero Model and theW-Algebra
- Exchange operator formalism for integrable systems of particles
This page was built for publication: New nonsymmetric orthogonal basis for the Calogero model with distinguishable particles