72 citations · 118 across the 5 of their papers we have counts for
6 papers
Classical dynamics on three dimensional fuzzy space: Connecting the short and long length scales
FG Scholtz
We derive the path integral action for a particle moving in three dimensional fuzzy space. From this we extract the classical equations of motion. These equations have rather surpr…
Commutative/Non-Commutative Dualities
FG Scholtz, PH Williams, JN Kriel
We show that it is in principle possible to construct dualities between commutative and non-commutative theories in a systematic way. This construction exploits a generalization of…
A manifestly Lorentz covariant, interacting and non-commutative Dirac equation
P. H. Williams, F. G. Scholtz
We propose a manifestly Lorentz covariant, non-commutative Dirac equation for charged particles interacting with an electromagnetic field. The equation is formulated on the operato…
Bound state energies and phase shifts of a non-commutative well
J. D. Thom, F. G. Scholtz
Non-commutative quantum mechanics can be viewed as a quantum system represented in the space of Hilbert-Schmidt operators acting on non-commutative configuration space. Within this…
Spectrum of the non-commutative spherical well
F. G. Scholtz, B. Chakraborty, J. Govaerts +1
We give precise meaning to piecewise constant potentials in non-commutative quantum mechanics. In particular we discuss the infinite and finite non-commutative spherical well in tw…
Moyal products -- a new perspective on quasi-hermitian quantum mechanics
FG Scholtz, HB Geyer
The rationale for introducing non-hermitian Hamiltonians and other observables is reviewed and open issues identified. We present a new approach based on Moyal products to compute…