111 citations · 1k across the 69 of their papers we have counts for
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Pinhole interference in three-dimensional fuzzy space
Dario Trinchero, Frederik G. Scholtz
We investigate a quantum-to-classical transition which arises naturally within the fuzzy sphere formalism for three-dimensional non-commutative quantum mechanics. This transition m…
Quantum Interference on the Non-Commutative Plane and the Quantum-to-Classical Transition
IB Pittaway, FG Scholtz
We explore a possible link between the structure of space at short length scales and the emergence of classical phenomena at macroscopic scales. To this end we adopt the paradigm o…
Non-Hermitian Hamiltonians, Metric, Other Observables and Physical Implications
H. B. Geyer, W. D. Heiss, F. G. Scholtz
The metric associated with a quasi-Hermitian Hamiltonian and its physical implications are scrutinised. Consequences of the non-uniqueness such as the question of the probability i…
Operator equations and Moyal products -- metrics in quasi-hermitian quantum mechanics
F G Scholtz, H B Geyer
The Moyal product is used to cast the equation for the metric of a non-hermitian Hamiltonian in the form of a differential equation. For Hamiltonians of the form with $…