Fractal Nambu Mechanics: Extending Dynamics with Fractal Calculus

AK Golmankhaneh, C Tunç, DA Juraev - arxiv preprint arxiv:2403.10524, 2024 - arxiv.org
In this paper, we extend the principles of Nambu mechanics by incorporating fractal
calculus. This extension introduces Hamiltonian and Lagrangian mechanics that incorporate …

The role of scalar and mass interactions in a relativistic model of the charmonium spectrum

M De Sanctis - arxiv preprint arxiv:2302.01406, 2023 - arxiv.org
Lorentz scalar and mass interactions are studied in more detail in the framework of a
reduced Dirac equation for heavy quark-antiquark mesons. A microscopic model for these …