The minimal twist map introduced by Abdesselam et al(Abdesselam B, Chakraba
rti A, Chakrabarti R and Segar J 1999 Mod. Phys. Lett. A 14 765) for the no
n-standard (Jordanian) quantum sl(2, R) algebra is used to construct the tw
ist maps for two different non-standard quantum deformations of the (1 + 1)
Schrodinger algebra. Such deformations are, respectively, the symmetry alg
ebras of a space and a time uniform lattice discretization of the (1 + 1) f
ree Schrodinger equation. it is shown that the corresponding twist maps con
nect the usual Lie symmetry approach to these discrete equations with non-s
tandard quantum deformations. This relationship leads to a clear interpreta
tion of the deformation parameter as the step of the uniform (space or time
) lattice.