One-parameter nonrelativistic supersymmetry for microtubules

The one-parameter nonrelativistic supersymmetry of Mielnik [J. Math. Phys. 25 (1984) 3387] is applied to the simple supersymmetric model of Caticha [Phys. Rev. A 51 (1995) 4264] in the form used by Rosu [Phys. Rev. E 55 (1997) 2038] for microtubules. By this means, we introduce Montroll double-well potentials with singularities that move along the positive or negative traveling direction depending on the sign of the free parameter of Mielnik's …