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math-ph2010★ 29 cited
Noncommutative quantum mechanics -- a perspective on structure and spatial extent
C M Rohwer, K G Zloshchastiev, L Gouba +1
We explore the notion of spatial extent and structure, already alluded to in earlier literature, within the formulation of quantum mechanics on the noncommutative plane. Introducin…
math-ph2008★ 111 cited
Formulation, Interpretation and Application of non-Commutative Quantum Mechanics
F G Scholtz, L Gouba, A Hafver +1
In analogy with conventional quantum mechanics, non-commutative quantum mechanics is formulated as a quantum system on the Hilbert space of Hilbert-Schmidt operators acting on non-…