Zobrazeno 1 - 10
of 87
pro vyhledávání: '"del Olmo, Mariano A."'
In this paper, we consider a basis of square integrable functions on a rectangle, contained in R^2, constructed with Legendre polynomials, suitable for the analogical description of images on the plane. After extending the Legendre polynomials to any
Externí odkaz:
http://arxiv.org/abs/2312.17743
Publikováno v:
Phys. Lett. B 848 (2024) 138402
This manuscript introduces a novel holographic correspondence in $d$-dimensional de Sitter (dS$_d$) spacetime, connecting bulk dS$_d$ scalar unitary irreducible representations (UIRs) with their counterparts at the dS$_d$ boundary ${\cal{I}}^\pm$, al
Externí odkaz:
http://arxiv.org/abs/2309.02122
We elaborate the definition and properties of ''massive" elementary systems in the (1+3)-dimensional Anti-de Sitter (AdS$_4$) spacetime, on both classical and quantum levels. We fully exploit the symmetry group Sp$(4,\mathbb R)$, that is, the two-fol
Externí odkaz:
http://arxiv.org/abs/2307.06690
Publikováno v:
J. Opt. Soc. Am. B 40, 1083-1091 (2023)
We revisit the Perelomov SU(1,1) displaced coherent states states as possible quantum states of light. We disclose interesting statistical aspects of these states in relation with photon counting and squeezing. In the non-displaced case we discuss th
Externí odkaz:
http://arxiv.org/abs/2304.08031
Publikováno v:
Journal of Physics A: Mathematical and Theoretical 54 (1), 015205 (2021)
Construction of superintegrable systems based on Lie algebras have been introduced over the years. However, these approaches depend on explicit realisations, for instance as a differential operators, of the underlying Lie algebra. This is also the ca
Externí odkaz:
http://arxiv.org/abs/2007.11163
Publikováno v:
Symmetry 2021, 13,853
Using normalized Hermite functions, we construct bases in the space of square integrable functions on the unit circle ($L^2(\mathcal C)$) and in $l_2(\mathbb Z)$, which are related to each other by means of the Fourier transform and the discrete Four
Externí odkaz:
http://arxiv.org/abs/2007.10406
We revise the symmetries of the Zernike polynomials that determine the Lie algebra su(1,1) + su(1,1). We show how they induce discrete as well continuous bases that coexist in the framework of rigged Hilbert spaces. We also discuss some other interes
Externí odkaz:
http://arxiv.org/abs/1902.08017
We implement a SU(1,1) covariant integral quantization of functions or distributions on the unit disk. The latter can be viewed as the phase space for the motion of a test "massive" particle on 1+1 Anti de Sitter space-time, and the relevant unitary
Externí odkaz:
http://arxiv.org/abs/1810.10399
In this paper, we present recent results in harmonic analysis in the real line R and in the half-line R^+, which show a closed relation between Hermite and Laguerre functions, respectively, their symmetry groups and Fourier analysis. This can be done
Externí odkaz:
http://arxiv.org/abs/1808.10411
It is well known that related with the irreducible representations of the Lie group $SO(2)$ we find a discrete basis as well a continuous one. In this paper we revisited this situation under the light of Rigged Hilbert spaces, which are the suitable
Externí odkaz:
http://arxiv.org/abs/1711.03805