A Class of Exactly Solvable Real and Complex PT Symmetric Reflectionless Potentials
Abstract
We consider the question of the number of exactly solvable complex but PT-invariant reflectionless potentials with N bound states. By carefully considering the Xm rationally extended reflectionless potentials, we argue that the total number of exactly solvable complex PT-invariant reflectionless potentials are 2[(2N-1)m+N].
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