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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Formulation, interpretation and application of non-commutative quantum mechanics
Journal of Physics A: Mathematical and Theoretical, Volume 42, No. 17, Article 175303, Year 2009
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Description
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-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. © 2009 IOP Publishing Ltd.
Authors & Co-Authors
Scholtz, Frederik G.
South Africa, Stellenbosch
Stellenbosch University
South Africa, Stellenbosch
National Institute for Theoretical Physics Nithep
Gouba, L.
South Africa, Stellenbosch
National Institute for Theoretical Physics Nithep
Hafver, A.
South Africa, Stellenbosch
Stellenbosch University
Rohwer, Christian M.
South Africa, Stellenbosch
Stellenbosch University
Statistics
Citations: 122
Authors: 4
Affiliations: 2
Identifiers
Doi:
10.1088/1751-8113/42/17/175303
ISSN:
17518113
e-ISSN:
17518121