Twist maps for non-standard quantum algebras and discrete Schrödinger symmetries

The minimal twist map introduced by Abdesselam et al (Abdesselam B, Chakrabarti A, Chakrabarti R and Segar J 1999 Mod. Phys. Lett. A 14 765) for the non-standard (Jordanian) quantum sl(2,) algebra is used to construct the twist maps for two different non-standard quantum deformations of the (1+1) Schrodinger algebra. Such deformations are, respectively, the symmetry algebras of a space and a time uniform lattice discretization of the (1+1) free Schrodinger equation. It is shown that the corresponding twist maps connect the usual Lie symmetry approach to these discrete equations with non-standard quantum deformations. This relationship leads to a clear interpretation of the deformation parameter as the step of the uniform (space or time) lattice.