44 citations · 113 across the 10 of their papers we have counts for
11 papers
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: 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…
On the Lewis-Riesenfeld (Dodonov-Man'ko) invariant method
Julio Guerrero, Francisco F. López-Ruiz
We revise the Lewis-Riesenfeld invariant method for solving the quantum time-dependent harmonic oscillator in light of the Quantum Arnold Transformation previously introduced and i…
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…
The Quantum Arnold Transformation and the Ermakov-Pinney equation
Julio Guerrero, Francisco F. López-Ruiz
The previously introduced Quantum Arnold Transformation, a unitary operator mapping the solutions of the Schrödinger equation for time dependent quadratic Hamiltonians into the sol…
Symmetries of the quantum damped harmonic oscillator
J. Guerrero, F. F. López-Ruiz, V. Aldaya +1
For the non-conservative Caldirola-Kanai system, describing a quantum damped harmonic oscillator, a couple of constant-of-motion operators generating the Heisenberg-Weyl algebra ca…
A symmetry trip from Caldirola to Bateman damped systems
V. Aldaya, F. Cossío, J. Guerrero +1
For the Caldirola-Kanai system, describing a quantum damped harmonic oscillator, a couple of constant-of-motion operators generating the Heisenberg algebra can be found. The inclus…
Symmetry group of massive Yang-Mills theories without Higgs and their quantization
V. Aldaya, M. Calixto, F. F. López-Ruiz
We analyze the symmetry group of massive Yang-Mills theories and their quantization strongly motivated by an already proposed alternative to the Standard Model of electroweak inter…
Harmonic states for the free particle
Julio Guerrero, Francisco F. López-Ruiz, Victor Aldaya +1
Different families of states, which are solutions of the time-dependent free Schrödinger equation, are imported from the harmonic oscillator using the Quantum Arnold Transformation…
Non-Canonical Perturbation Theory of Non-Linear Sigma Models
V. Aldaya, M. Calixto, F. F. López-Ruiz
We explore the O(N)-invariant Non-Linear Sigma Model (NLSM) in a different perturbative regime from the usual relativistic-free-field one, by using non-canonical basic commutation…
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…