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- V Aldaya, J Guerrero, G Marmo
- 1998

- M Calixto, J Guerrero, J C Sánchez-Monreal
- 2006

Using coherent-state techniques, we prove a sampling theorem for Majorana's (holomor-phic) functions on the Riemann sphere and we provide an exact reconstruction formula as a convolution product of N samples and a given reconstruction kernel (a sinc-type function). We also discuss the effect of over-and under-sampling. Sample points are roots of unity, a… (More)

- V Aldaya, J Guerrero, G Marmo
- 1998

In this paper we are mainly concerned with the study of polarizations (in general of higher-order type) on a connected Lie group with a U(1)-principal bundle structure. The representation technique used here is formulated on the basis of a group quantization formalism previously introduced which generalizes the Kostant-Kirillov co-adjoint orbits method for… (More)

- J. Guerrero, V. Aldaya
- 2004

''Pseudo-cohomology,'' as a refinement of Lie group cohomology, is soundly studied aiming at classifying the symplectic manifolds associated with Lie groups. In this study, the framework of symplectic cohomology provides fundamental new insight, which enriches the analysis previously developed in the setting of Cartan– Eilenberg H 2 (G,U(1)) cohomology.

- FREE PARTICLE, M. CALIXTO, J. Guerrero
- 1997

The algebra of linear and quadratic functions of basic observables on the phase space of either the free particle or the harmonic oscillator possesses a finite-dimensional anomaly. The quantization of these systems outside the critical values of the anomaly leads to a new degree of freedom which shares its internal character with spin, but nevertheless… (More)

- M Calixto, J Guerrero
- 2008

We present a unified group-theoretical derivation of the Continuous Wavelet Transform (CWT) on the circle S 1 and the real line R, following the general formalism of Coherent States (CS) associated to unitary square integrable (modulo a subgroup, possibly) representations of the group SL(2, R). A general procedure for obtaining unitary representations of a… (More)

- V Aldaya, J Guerrero
- 2008

The quantum dynamics of a particle in the Modified Pöschl-Teller potential is derived from the group SL(2, R) by applying a Group Approach to Quantization (GAQ). The explicit form of the Hamiltonian as well as the ladder operators is found in the enveloping algebra of this basic symmetry group. The present algorithm provides a physical realization of the… (More)

- J. Guerrero, V. Aldaya
- 2000

We provide an explicit construction of quasi-invariant measures on polarized co-adjoint orbits of a Lie group G. The use of specific ͑trivial͒ central extensions of G by the multiplicative group R ϩ allows us to restore the strict invariance of the measures and, accordingly, the unitarity of the quantization of coadjoint orbits. As an example, the… (More)

- B M Rodríguez-Lara, J Guerrero
- Optics letters
- 2015

We implement a finite-dimensional representation of the 2+1D Lorentz group with a PT-symmetric waveguide array. Our device can be engineered to behave like a multi-port oscillator or directional coupler with amplification. We show that the two-waveguide coupler with linear losses, the Vernier effect in coupled asymmetric micro-cavity lasers, and the… (More)

- V Aldaya, J Guerrero
- 1995

In this paper we construct manifestly covariant relativistic coherent states on the entire complex plane which reproduce others previously introduced on a given SL(2, R) representation, once a change of variables z ∈ C → z D ∈ unit disk is performed. We also introduce higher-order, relativistic creation and annihilation operators, ˆ a, ˆ a † , with… (More)