36 citations · 171 across the 15 of their papers we have counts for
3 papers · 1 filter
Three dimensional quantum algebras: a Cartan-like point of view
A. Ballesteros, E. Celeghini, M. A. del Olmo
A perturbative quantization procedure for Lie bialgebras is introduced and used to classify all three dimensional complex quantum algebras compatible with a given coproduct. The ro…
Quantization on a 2-dimensional phase space with a constant curvature tensor
M. Gadella, M. A. del Olmo, J. Tosiek
Some properties of the star product of the Weyl type (i.e. associated with the Weyl ordering) are proved. Fedosov construction of the *-product on a 2-dimensional phase spacewith a…
Quantum Mechanics on the cylinder
Jose A. Gonzalez, Mariano A del Olmo, Jaromir Tosiek
A new approach to deformation quantization on the cylinder considered as phase space is presented. The method is based on the standard Moyal formalism for R^2 adapted to (S^1 x R)…