27 citations · 176 across the 19 of their papers we have counts for
19 papers
Zernike functions, rigged Hilbert spaces and potential applications
Enrico Celeghini, Manuel Gadella, Mariano A del Olmo
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…
Quantum mechanics and umbral calculus
E. Lopez-Sendino, J. Negro, M. A. del Olmo +1
In this paper we present the first steps for obtaining a discrete Quantum Mechanics making use of the Umbral Calculus. The idea is to discretize the continuous Schroedinger equatio…
The Drinfeld double gl(n) \oplus t_n
A. Ballesteros, E. Celeghini, M. A. del Olmo
The two isomorphic Borel subalgebras of gl(n), realized on upper and lower triangular matrices, allow us to consider the gl(n) \opus t_n algebra as a self-dual Drinfeld double. Com…
Anyons, group theory and planar physics
J. Negro, M. A. del Olmo, J. Tosiek
Relativistic and nonrelativistic anyons are described in a unified formalism by means of the coadjoint orbits of the symmetry groups in the free case as well as when there is an in…
Discrete q-derivatives and symmetries of q-difference equations
D. Levi, J. Negro, M. A. del Olmo
In this paper we extend the umbral calculus, developed to deal with difference equations on uniform lattices, to q-difference equations. We show that many of the properties conside…
Twisted Conformal Algebra so(4,2)
N. Aizawa, F. J. Herranz, J. Negro +1
A new twisted deformation, U_z(so(4,2)), of the conformal algebra of the (3+1)-dimensional Minkowskian spacetime is presented. This construction is provided by a classical r-matrix…