Search Results - "Ballesteros, Angel"
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The κ-(A)dS quantum algebra in (3+1) dimensions
Published in Physics letters. B (10-03-2017)“…The quantum duality principle is used to obtain explicitly the Poisson analogue of the κ-(A)dS quantum algebra in (3+1) dimensions as the corresponding…”
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The κ-(A)dS noncommutative spacetime
Published in Physics letters. B (10-09-2019)“…The (3+1)-dimensional κ-(A)dS noncommutative spacetime is explicitly constructed by quantizing its semiclassical counterpart, which is the κ-(A)dS Poisson…”
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The κ-Newtonian and κ-Carrollian algebras and their noncommutative spacetimes
Published in Physics letters. B (10-06-2020)“…We derive the non-relativistic c→∞ and ultra-relativistic c→0 limits of the κ-deformed symmetries and corresponding spacetime in (3+1) dimensions, with and…”
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Noncommutative spaces of worldlines
Published in Physics letters. B (10-05-2019)“…The space of time-like geodesics on Minkowski spacetime is constructed as a coset space of the Poincaré group in (3+1) dimensions with respect to the…”
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Extended noncommutative Minkowski spacetimes and hybrid gauge symmetries
Published in The European physical journal. C, Particles and fields (01-08-2018)“…We study the Lie bialgebra structures that can be built on the one-dimensional central extension of the Poincaré and (A)dS algebras in (1 + 1) dimensions…”
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The noncommutative space of light-like worldlines
Published in Physics letters. B (10-06-2022)“…The noncommutative space of light-like worldlines that is covariant under the light-like (or null-plane) κ-deformation of the (3+1) Poincaré group is fully…”
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The anisotropic oscillator on curved spaces: A new exactly solvable model
Published in Annals of physics (01-10-2016)“…We present a new exactly solvable (classical and quantum) model that can be interpreted as the generalization to the two-dimensional sphere and to the…”
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κ-Galilean and κ-Carrollian noncommutative spaces of worldlines
Published in Physics letters. B (10-03-2023)“…The noncommutative spacetimes associated to the κ-Poincaré relativistic symmetries and their “non-relativistic” (Galilei) and “ultra-relativistic” (Carroll)…”
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Fuzzy worldlines with κ-Poincaré symmetries
Published in The journal of high energy physics (01-12-2021)“…A bstract A novel approach to study the properties of models with quantum-deformed relativistic symmetries relies on a noncommutative space of worldlines…”
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The group structure of dynamical transformations between quantum reference frames
Published in Quantum (Vienna, Austria) (08-06-2021)“…Recently, it was shown that when reference frames are associated to quantum systems, the transformation laws between such quantum reference frames need to be…”
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Interplay between Spacetime Curvature, Speed of Light and Quantum Deformations of Relativistic Symmetries
Published in Symmetry (Basel) (01-11-2021)“…Recent work showed that κ-deformations can describe the quantum deformation of several relativistic models that have been proposed in the context of quantum…”
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Integrable deformations of Rössler and Lorenz systems from Poisson–Lie groups
Published in Journal of Differential Equations (05-06-2016)“…A method to construct integrable deformations of Hamiltonian systems of ODEs endowed with Lie–Poisson symmetries is proposed by considering Poisson–Lie groups…”
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On Hamiltonians with position-dependent mass from Kaluza–Klein compactifications
Published in Physics letters. A (19-02-2017)“…In a recent paper (Morris (2015) [1]), an inhomogeneous compactification of the extra dimension of a five-dimensional Kaluza–Klein metric has been shown to…”
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An exactly solvable deformation of the Coulomb problem associated with the Taub–NUT metric
Published in Annals of physics (01-12-2014)“…In this paper we quantize the N-dimensional classical Hamiltonian system H=|q|2(η+|q|)p2−kη+|q|, that can be regarded as a deformation of the Coulomb problem…”
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Quantum mechanics on spaces of nonconstant curvature: The oscillator problem and superintegrability
Published in Annals of physics (01-08-2011)“…► Quantization of Hamiltonians on spaces of nonconstant curvature is addressed. ► Our approach is based on superintegrability requirements. ► The procedure is…”
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Towards (3+1) gravity through Drinfel'd doubles with cosmological constant
Published in Physics letters. B (01-06-2015)“…We present the generalisation to (3+1) dimensions of a quantum deformation of the (2+1) (Anti)-de Sitter and Poincaré Lie algebras that is compatible with the…”
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Electric Field Effects on Curved Graphene Quantum Dots
Published in Micromachines (Basel) (01-11-2023)“…The recent and continuous research on graphene-based systems has opened their usage to a wide range of applications due to their exotic properties. In this…”
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Integrable deformations of Lotka–Volterra systems
Published in Physics letters. A (05-09-2011)“…The Hamiltonian structure of a class of three-dimensional (3D) Lotka–Volterra (LV) equations is revisited from a novel point of view by showing that the…”
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Noncommutative Relativistic Spacetimes and Worldlines from 2 + 1 Quantum (Anti-)de Sitter Groups
Published in Advances in high energy physics (01-01-2017)“…The κ-deformation of the (2 + 1)D anti-de Sitter, Poincaré, and de Sitter groups is presented through a unified approach in which the curvature of the…”
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Gaussian Curvature Effects on Graphene Quantum Dots
Published in Nanomaterials (Basel, Switzerland) (25-12-2022)“…In the last few years, much attention has been paid to the exotic properties that graphene nanostructures exhibit, especially those emerging upon deforming the…”
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