Twist maps for non-standard quantum algebras and discrete Schrödinger symmetries
نویسنده
چکیده
The minimal twist map introduced by Abdesselam et al [1] for the nonstandard (Jordanian) quantum sl(2,R) 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.
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