3 papers
math-ph2002
On the completeness of a system of coherent states
A. M. Perelomov
Completeness is proved for some subsystems of a system of coherent states. The linear dependence of states is investigated for the von Neumann type subsystems. A detailed study is…
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 …
math-ph2002
On the derivatives of generalized Gegenbauer polynomials
W. Garcia Fuertes, A. M. Perelomov
We prove some new formulae for the derivatives of the generalized Gegenbauer polynomials associated to the Lie algebra .