Abstract: We present a comprehensive treatment of the non-periodic trigonometric s (2) Gaudin model with tri angular boundary, with an emphasis on specific freedom found in the local realization of the generators, as well as in the creation operators used in the algebraic Bethe ansatz. First, we give Bethe vectors of the non-periodic trigonometric s (2) Gaudin model both through a recurrence relation and in a closed form. Next, the off-shell action of the generating function of the trigonometric Gaudin Hamiltonians with gen eral boundary terms on an arbi...
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Topics: 
Mathematical physics
Pure mathematics
Mathematical analysis