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math-ph2009
Some new solutions to the Schrodinger equation for the trigonometric E8 Calogero-Sutherland problem
J. Fernandez Nunez, W. Garcia Fuertes, A. M. Perelomov
We provide a list of explicit eigenfunctions of the trigonometric Calogero-Sutherland Hamiltonian associated to the root system of the exceptional Lie algebra E8. The quantum numbe…
math-ph2005
Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsch-Gordan series for the exceptional algebra E7
J. Fernandez Nunez, W. Garcia Fuertes, A. M. Perelomov
We re-express the quantum Calogero-Sutherland model for the Lie algebra E7 and the particular value of the coupling constant K=1 by using the fundamental irreducible characters of…
math-ph2002
A perturbative approach to the quantum elliptic Calogero-Sutherland model
Jose Fernandez Nunez, Wifredo Garcia Fuertes, Askold Perelomov
We solve perturbatively the quantum elliptic Calogero-Sutherland model in the regime in which the quotient between the real and imaginary semiperiods of the Weierstrass …