306 citations · 1k across the 44 of their papers we have counts for
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Discretizations of the Schrödinger equation with quantum algebra symmetry
A. Ballesteros, F. J. Herranz, P. Parashar
Two quantum Hopf structures for the Schrödinger algebra as well as their corresponding differential-difference realizations are presented. For each case a (space or time) discretiz…
Quantum two-photon algebra from non-standard U_z(sl(2,R)) and a discrete time Schrödinger equation
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
The non-standard quantum deformation of the (trivially) extended sl(2,R) algebra is used to construct a new quantum deformation of the two-photon algebra h_6 and its associated qua…
A Jordanian quantum two-photon/Schrodinger algebra
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
A non-standard quantum deformation of the two-photon algebra is constructed, and its quantum universal R-matrix is given. Representations of this new quantum algebra are stud…
Jordanian and its coloured realization
Preeti Parashar
A two-parametric non-standard (Jordanian) deformation of the Lie algebra is constructed, and then, exploited to obtain a new, triangular R-matrix solution of the coloured Y…
Quantum Heisenberg--Weyl Algebras
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
All Lie bialgebra structures on the Heisenberg--Weyl algebra are classified and explicitly quantized. The complete list of quantum Heisenberg--Weyl algebras so obtain…
An Alternative to the Chevalley Description of U[sl(n+1)] and U_q[sl(n+1)]
Tchavdar D. Palev, Preeti Parashar
An alternative to the Chevalley description of Lie algebra sl(n+1), of its universal enveloping algebra U[sl(n+1)] and of its q-deformed analogue U_q[sl(n+1)] in terms of generator…