Formulation, Interpretation and Application of non-Commutative Quantum Mechanics

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dc.creatorScholtz, F G
dc.creatorGouba, L
dc.creatorHafver, A
dc.creatorRohwer, C M
dc.date2008-12-15
dc.date.accessioned2026-07-07T13:04:47Z
dc.date.available2026-07-07T13:04:47Z
dc.descriptionIn 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-commutative configuration space. It is argued that the standard quantum mechanical interpretation based on Positive Operator Valued Measures, provides a sufficient framework for the consistent interpretation of this quantum system. The implications of this formalism for rotational and time reversal symmetry are discussed. The formalism is applied to the free particle and harmonic oscillator in two dimensions and the physical signatures of non commutativity are identified.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0812.2803
dc.identifierhttp://arxiv.org/abs/0812.2803
dc.identifierJ.Phys.A42:175303,2009
dc.identifierdoi:10.1088/1751-8113/42/17/175303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227290
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleFormulation, Interpretation and Application of non-Commutative Quantum Mechanics
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