Integral formulas for wave functions of quantum many-body problems and representations of 𝔤l n

DOI10.1063/1.531076zbMath0846.17031arXivhep-th/9405038OpenAlexW2032432145MaRDI QIDQ4836932

Pavel I. Etingof

Publication date: 11 September 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9405038

zbMATH Keywords

integral formulasCalogero-Sutherland-Moser operatoreigenfunctions of quantum integralsJack's symmetric functionstraces of intertwining operators

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie (super)algebras to physics, etc. (17B81)

Related Items (2)

Solution to three-magnon problem for S=1/2 periodic quantum spin chains with elliptic exchange ⋮ Raising operators for the Whittaker wave functions of the Toda chain and intertwining operators

Cites Work

• Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
• Macdonald's polynomials and representations of quantum groups
• Hamiltonian group actions and dynamical systems of calogero type

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