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math-ph2005
Solutions of the Gaudin Equation and Gaudin Algebras
A. B. Balantekin, T. Dereli, Y. Pehlivan
Three well-known solutions of the Gaudin equation are obtained under a set of standard assumptions. By relaxing one of these assumptions we introduce a class of mutually commuting…
math-ph2003
An Algebraic q-Deformed Form for Shape-Invariant Systems
A. N. F. Aleixo, A. B. Balantekin, M. A. Candido Ribeiro
A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by defining q-deformed ladder operators. We show these new ladder operators satisfy ne…