44 citations · 69 across the 5 of their papers we have counts for
5 papers
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…
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…
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…