One-parameter nonrelativistic supersymmetry for microtubules

Details One-parameter nonrelativistic supersymmetry for microtubules One-parameter nonrelativistic supersymmetry for microtubules

2002-04-18

arxiv.org/abs/quant-ph/0204099v5

Phys. Lett. A 310 (2003) 353-356

Physics

Quantum Physics

6 pages, 5 figures, minor changes

Scientific paper

10.1016/S0375-9601(03)00372-4

The one-parameter nonrelativistic supersymmetry of Mielnik [J. Math. Phys. 25, 3387 (1984)] is applied to the simple supersymmetric model of Caticha [Phys. Rev. A 51, 4264 (1995)] in the form used by Rosu [Phys. Rev. E 55, 2038 (1997)] 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 method. Possible interpretations of the singularity are either microtubule associated proteins (motors) or structural discontinuities in the arrangement of the tubulin molecules

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