On higher deformed Calogero-Sutherland Hamiltonians

DOI10.1063/5.0198701MaRDI QIDQ6632853

Yue Li, Fan Liu, Fu-Hao Zhang, Chun-Hong Zhang

Publication date: 5 November 2024

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Cites Work

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Hermite and Laguerre symmetric functions associated with operators of Calogero-Moser-Sutherland type
Euler characters and super Jacobi polynomials
Grothendieck rings of basic classical Lie superalgebras
The Calogero-Sutherland model and polynomials with prescribed symmetry
Non-abelian W-representation for GKM
Deformed Macdonald-Ruijsenaars operators and super Macdonald polynomials
Jack polynomials and free cumulants
The Calogero-Sutherland model and generalized classical polynomials
Calogero operator and Lie superalgebras
Deformed quantum Calogero-Moser problems and Lie superalgebras
Sum rules for characters from character-preservation property of matrix models
Some combinatorial properties of Jack symmetric functions
Excited states of the Calogero-Sutherland model and singular vectors of the \(W_N\) algebra
CFT approach to constraint operators for (\(\beta\)-deformed) Hermitian one-matrix models
Superintegrability summary
On matrix models and their \(q\)-deformations
Cut-and-join description of generalized Brezin-Gross-Witten model
On KP-integrable skew Hurwitz \(\tau\)-functions and their \(\beta\)-deformations
Cut-and-join operator representation for Kontsevich-Witten tau-function
Deformed Calogero-Sutherland model and fractional quantum Hall effect
Dunkl Operators at Infinity and Calogero–Moser Systems
Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]

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