9 citations · 25 across the 5 of their papers we have counts for
5 papers
Generating functions and multiplicity formulas: the case of rank two simple Lie algebras
Jose Fernandez Nunez, Wifredo Garcia Fuertes, Askold M. Perelomov
A procedure is described that makes use of the generating function of characters to obtain a new generating function giving the multiplicities of each weight in all the represe…
On an approach for computing the generating functions of the characters of simple Lie algebras
J. Fernández Núñez, W. García Fuertes, A. M. Perelomov
We describe a general approach to obtain the generating functions of the characters of simple Lie algebras which is based on the theory of the quantum trigonometric Calogero-Suther…
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…
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…
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 …