5 citations · 13 across the 7 of their papers we have counts for
9 papers
A mathematical objection to the existence of relativistic mechanical systems of several particles
Jesús Muñoz-Díaz, Ricardo J. Alonso-Blanco
We will prove that, in general, a system formed by several particles moving along relativistic trajectories can not be described by a mechanical system. The contradiction that lead…
Newton's Second Law in Field Theory
Ricardo J. Alonso-Blanco, Jesús Muñoz-Díaz
In this article we present a natural generalization of Newton's Second Law valid in field theory, i.e., when the parameterized curves are replaced by parameterized submanifolds of…
Redshift for massive particles
J. Muñoz-Díaz, R. J Alonso-Blanco
On each FRW metric, there exist a redshift for massive particles, analogous to that of photons, but depending on the mass. This is a simple consequence of the fundamental laws of C…
Riemannian exponential and quantization
J Muñoz-Díaz, RJ Alonso-Blanco
This article continues and completes our previous work [14] J. Phys. Commun. 2 (2018) 025007. First of all, we present two methods of quantization associated with a linear connecti…
Time in classical and quantum mechanics
J. Muñoz-Díaz, R. J. Alonso-Blanco
In this article we study the nature of time in Mechanics. The fundamental principle, according to which a mechanical system evolves governed by a second order differential equation…
On the quantization of mechanical systems
J. Muñoz-Díaz, R. J. Alonso-Blanco
We present a canonical way of assigning to each magnitude of a classical mechanical system a differential operator in the configuration space, thus rigorously establishing the Corr…
Primary spectrum of and jets theory
Ricardo J. Alonso-Blanco, Jesús Muñoz-Díaz
We consider, for each smooth manifold , the set comprised by all the primary ideals of which are closed and whose radical is maximal. The cl…
On the foundation of Mechanics
Ricardo J. Alonso-Blanco, Jesús Muñoz-Díaz
This note is an extended version of "A note on the foundations of Mechanics", arXiv: 1404.1321 [math-ph]. A presentation of its contents was given in a talk in memorial homage to t…
A note on the foundations of mechanics
Ricardo J. Alonso-Blanco, Jesús Muñoz-Díaz
This short note is intended to review the foundations of mechanics, trying to present them with the greatest mathematical and conceptual clarity. It was attempted to remove most of…