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M. A. Z. Habeeb [12]M. Habeeb [4]Mohammed A. Z. Habeeb [1]
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    Riccati Equations as a Scale-Relativistic Gateway to Quantum Mechanics.Saeed Naif Turki Al-Rashid, Mohammed A. Z. Habeeb & Tugdual S. LeBohec - 2020 - Foundations of Physics 50 (3):191-203.
    Applying the resolution–scale relativity principle to develop a mechanics of non-differentiable dynamical paths, we find that, in one dimension, stationary motion corresponds to an Itô process driven by the solutions of a Riccati equation. We verify that the corresponding Fokker–Planck equation is solved for a probability density corresponding to the squared modulus of the solution of the Schrödinger equation for the same problem. Inspired by the treatment of the one-dimensional case, we identify a generalization to time dependent problems in any (...)
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