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On Darboux-Treibich-Verdier potentials
Published 29 Apr 2010 in math-ph and math.MP | (1004.5355v1)
Abstract: It is shown that the four-parameter family of elliptic functions $$u_D(z)=m_0(m_0+1)\wp(z)+\sum_{i=1}3 m_i(m_i+1)\wp(z-\omega_i)$$ introduced by Darboux and rediscovered a hundred years later by Treibich and Verdier, is the most general meromorphic family containing infinitely many finite-gap potentials.
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