2 papers
physics.gen-ph2019
Riccati equations as a scale-relativistic gateway to quantum mechanics
Saeed Naif Turki Al-Rashid, Mohammed A. Z. Habeeb, Stephan LeBohec
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…
math-ph2016
The Liouville Dynamics of the q-Deformed 1-D Classical Harmonic Oscillator
A. S. Mahmood, M. A. Z. Habeeb
The Liouville equation for the q-deformed 1-D classical harmonic oscillator is derived for two definitions of q-deformation. This derivation is achieved by using two different repr…