44 citations · 211 across the 31 of their papers we have counts for
31 papers
Non-relativistic tachyons: a new representation of the Galilei group
Victor Aldaya, Julio Guerrero, Francisco F. López-Ruiz
An algebraic characterization of the contractions of the Poincaré group permits a proper construction of a non-relativistic limit of its tachyonic representation. We arrive at a co…
Tachyons in "momentum-space'' representation
Victor Aldaya, Julio Guerrero, Francisco F. López-Ruiz
The momentum space associated with "tachyonic particles" proves to be rather intricate, departing very much from the ordinary dual to Minkowski space directly parametrized by space…
A proper scalar product for tachyon representations in configuration space
Francisco F. López-Ruiz, Julio Guerrero, Victor Aldaya
We propose a new inner product for scalar fields that are solutions of the Klein-Gordon equation with . This inner product is non-local, bearing an integral kernel including…
-particle sigma model: Momentum-space quantization of a particle on the sphere
Julio Guerrero, Francisco F. López-Ruiz, Victor Aldaya
We perform the momentum-space quantization of a spin-less particle moving on the group manifold, that is, the three-dimensional sphere , by using a non-canonical met…
particle sigma model: the role of non-point symmetries in global quantization
Victor Aldaya, Julio Guerrero, Francisco F. López-Ruiz +1
In this paper we achieve the quantization of a particle moving on the group manifold, that is, the three-dimensional sphere , by using group-theoretical methods. For…
Contact Symmetries in Non-Linear Mechanics: a preliminary step to (Non-Canonical) Quantization
Victor Aldaya, Julio Guerrero, Francisco F. López-Ruiz +1
In this paper we exploit the use of symmetries of a physical system so as to characterize algebraically the corresponding solution manifold by means of Noether invariants. This con…