34 citations · 116 across the 17 of their papers we have counts for
17 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…
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…
Almost Complete Coherent State Subsystems and Partial Reconstruction of Wave Functions in the Fock-Bargmann Phase-Number Representation
Manuel Calixto, Julio Guerrero, Juan Carlos Sánchez-Monreal
We provide (partial) reconstruction formulas and discrete Fourier transforms for wave functions in standard Fock-Bargmann (holomorphic) phase-number representation from a finite nu…
Group-quantization of non-linear sigma models: particle on S^2 revisited
V. Aldaya, M. Calixto, J. Guerrero +1
We present the quantum mechanics of "partial-trace" non-linear sigma models, on the grounds of a fully symmetry-based procedure. After the general scheme is sketched, the particula…
Group Approach to the Quantization of the Pöschl-Teller dynamics
V. Aldaya, J. Guerrero
The quantum dynamics of a particle in the Modified Pöschl-Teller potential is derived from the group by applying a Group Approach to Quantization (GAQ). The explicit form…