Abstract
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) Schrödinger
algebra. Such deformations are, respectively, the symmetry
algebras of a space and a time uniform lattice discretization
of the (1+1) free Schrödinger 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.