50 citations · 85 across the 4 of their papers we have counts for
4 papers
Non-commutative Euclidean and Minkowski Structure
A. Lorek, W. Weich, J. Wess
A noncommutative *-algebra that generalizes the canonical commutation relations and that is covariant under the quantum groups SOq(3) or SOq(1,3) is introduced. The generating elem…
A q-Deformation of the Harmonic Oscillator
A. Lorek, A. Ruffing, J. Wess
The q-deformed harmonic oscillator is studied in the light of q-deformed phase space variables. This allows a formulation of the corresponding Hamiltonian in terms of the ordinary…
q-deformed Phase Space and its Lattice Structure
M. Fichtmueller, A. Lorek, J. Wess
A q-deformed two-dimensional phase space is studied as a model for a noncommutative phase space. A lattice structure arises that can be interpreted as a spontaneous breaking of a c…
Dynamical Symmetries in q-deformed Quantum Mechanics
A. Lorek, J. Wess
The dynamical algebra of the q-deformed harmonic oscillator is constructed. As a result, we find the free deformed Hamiltonian as well as the Hamiltonian of the deformed oscillator…