59 citations · 142 across the 17 of their papers we have counts for
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Jacobi equations and particle accelerator beam dynamics
Ricardo Gallego Torrome
A geometric formulation of the linear beam dynamics in accelerator physics is presented. In particular, it is proved that the linear transverse and longitudinal dynamics can be int…
Averaged Lorentz Dynamics and an application in Plasma Dynamics
Ricardo Gallego Torrome
Using a geometric averaging procedure applied to a non-affine linear connection, we prove that for a narrow one particle distribution function and in the ultra-relativistic limit,…
Fluid Models from Kinetic Models using a Geometric Averaging Procedure
Ricardo Gallego Torrome
We interpret the Lorentz force equation as a geodesic equation associated with a non-linear connection. Using a geometric averaging procedure, we prove that for narrow and smooth o…
On the interplay between the notions of Randers space and gauge invariance
Ricardo Gallego Torromé
In this paper we argue that when gauge invariance is taken into consideration, there is no consistent geometric framework of Finsler class that can accommodate Randers type spaces.…
Fiber averaged dynamics associated with the Lorentz force equation
Ricardo Gallego Torrome
It is shown that the Lorentz force equation is equivalent to the auto-parallel condition of a linear connection defined on a convenient p…
Quantum Systems as results of Geometric Evolutions
Ricardo Gallego Torrome
In the framework of deterministic finslerian models, a mechanism producing dissipative dynamics at the Planck scale is discussed. It is based on a geometric evolution from Finsler…
A Finslerian version of 't Hooft Deterministic Quantum Models
Ricardo Gallego Torromé
Using the Finsler structure living in the phase space associated to the tangent bundle of the configuration manifold, deterministic models at the Planck scale are obtained. The Ham…