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8 papers · 1 filter
Metrics related to Oscillator algebras
Pilar Benito, Jorge Roldán-López
A Lie algebra is said to be metric if it admits a symmetric invariant and nondegenerate bilinear form. The harmonic oscillator algebra, which arises in the quantum mechanical descr…
Lie structures and chain ideal lattices
Pilar Benito, Jorge Roldán-López
The purpose of this paper is twofold. Firstly, to emphasise that the class of Lie algebras with chain lattices of ideals are elementary blocks in the embedding or decomposition of…
Examples and patterns on quadratic Lie algebras
Pilar Benito, Jorge Roldán-López
A Lie algebra is said to be quadratic if it admits a symmetric invariant and non-degenerated bilinear form. Semisimple algebras with the Killing form are examples of these algebras…
J-PLUS: Discovery and characterisation of ultracool dwarfs using Virtual Observatory tools II. Second data release and machine learning methodology
P. Mas-Buitrago, E. Solano, A. González-Marcos +20
Ultracool dwarfs (UCDs) comprise the lowest mass members of the stellar population and brown dwarfs, from M7 V to cooler objects with L, T, and Y spectral types. Most of them have…
A torsion-based solution to the hyperbolic regime of the J2-problem
Martin Lara, Alessandro Masat, Camilla Colombo
A popular intermediary in the theory of artificial satellites is obtained after the elimination of parallactic terms from the J2-problem Hamiltonian. The resulting quasi-Keplerian…
Summing Sneddon-Bessel series explicitly
Antonio J. Durán, Mario Pérez, Juan L. Varona
We sum in a close form the Sneddon-Bessel series \[ \sum_{m=1}^\infty \frac{J_α(x j_{m,ν})J_β(y j_{m,ν})} {j_{m,ν}^{2n+α+β-2ν+2} J_{ν+1}(j_{m,ν})^2}, \] where , , …