New integrable generalizations of Calogero–Moser quantum problem
From MaRDI portal
Publication:4212990
DOI10.1063/1.532347zbMath0906.34061OpenAlexW2083013700MaRDI QIDQ4212990
Oleg A. Chalykh, Misha V. Feigin, Alexander P. Veselov
Publication date: 16 February 1999
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.532347
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Many-body theory; quantum Hall effect (81V70)
Related Items (43)
Higher order deformed elliptic Ruijsenaars operators ⋮ On Cohen-Macaulayness of algebras generated by generalized power sums. With an appendix by Misha Feigin ⋮ Symmetric Lie superalgebras and deformed quantum Calogero-Moser problems ⋮ The wave equation for Dunkl operators ⋮ Algebra of Dunkl Laplace-Runge-Lenz vector ⋮ Quasi-exact solvability and entropies of the one-dimensional regularised Calogero model ⋮ On generalizations of the Calogero–Moser–Sutherland quantum problem and WDVV equations ⋮ On the logarithmic solutions of the WDVV equations ⋮ Purely non-local Hamiltonian formalism, Kohno connections and ∨-systems ⋮ Logarithmic Frobenius structures and Coxeter discriminants ⋮ Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions ⋮ New applications of quantum algebraically integrable systems in fluid dynamics ⋮ Deformed Calogero-Moser operators and ideals of rational Cherednik algebras ⋮ Bispectrality of \(AG_2\) Calogero-Moser-Sutherland system ⋮ Source identities and kernel functions for deformed (quantum) Ruijsenaars models ⋮ Generalized Calogero-Moser systems from rational Cherednik algebras ⋮ New orthogonality relations for super-Jack polynomials and an associated Lassalle-Nekrasov correspondence ⋮ The Schur-Sato theory for quasi-elliptic rings ⋮ Deformed Calogero-Sutherland model and fractional quantum Hall effect ⋮ Surprising examples of nonrational smooth spectral surfaces ⋮ Generalized Macdonald-Ruijsenaars systems. ⋮ On Algebraic Integrability of the Deformed Elliptic CalogeroMoser Problem ⋮ Deformations of the root systems and new solutions to generalised WDVV equations ⋮ Baker-Akhiezer functions and generalised Macdonald-Mehta integrals ⋮ Bispectrality for the quantum Ruijsenaars model and its integrable deformation ⋮ Series solutions of the non-stationary Heun equation ⋮ A class of Baker-Akhiezer arrangements ⋮ Quantum integrability of the deformed elliptic Calogero–Moser problem ⋮ A unified construction of generalized classical polynomials associated with operators of Calogero-Sutherland type ⋮ Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials ⋮ Source identity and kernel functions for elliptic Calogero-Sutherland type systems ⋮ An exactly solvable Calogero model for a non-integrally laced group ⋮ \(BC_\infty \) Calogero-Moser operator and super Jacobi polynomials ⋮ Quasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence ⋮ Intertwining operator for AG2 Calogero–Moser–Sutherland system ⋮ Orthogonality of super‐Jack polynomials and a Hilbert space interpretation of deformed Calogero–Moser–Sutherland operators ⋮ From Kajihara's transformation formula to deformed Macdonald-Ruijsenaars and Noumi-Sano operators ⋮ Harmonic oscillator and Darboux transformations in many dimensions ⋮ Source identities and kernel functions for the deformed Koornwinder-van Diejen models ⋮ On integrability and exact solvability in deterministic and stochastic Laplacian growth ⋮ Multidimensional integrable Schrödinger operators with matrix potential ⋮ Source identity and kernel functions for Inozemtsev-type systems ⋮ Eigenfunctions of the van Diejen model generated by gauge and integral transformations
Cites Work
- Algebraic integrability for the Schrödinger equation and finite reflection groups
- Integrability in the theory of Schrödinger operator and harmonic analysis
- Commutative rings of partial differential operators and Lie algebras
- Additional integrals of the generalized quantum Calogero-Moser problem
- Hadamard's problem and Coxeter groups: New examples of Huygens' equations
This page was built for publication: New integrable generalizations of Calogero–Moser quantum problem
