Entangled state representations in noncommutative quantum mechanics

Details Entangled state representations in noncommutative quantum mechanics Entangled state representations in noncommutative quantum mechanics

2005-03-30

arxiv.org/abs/hep-th/0503233v1

J.Phys.A 38 (2005) 8409-8420

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1088/0305-4470/38/39/008

We introduce new representations to formulate quantum mechanics on noncommutative coordinate space, which explicitly display entanglement properties between degrees of freedom of different coordinate components and hence could be called entangled state representations. Furthermore, we derive unitary transformations between the new representations and the ordinary one used in noncommutative quantum mechanics (NCQM) and obtain eigenfunctions of some basic operators in these representations. To show the potential applications of the entangled state representations, a two-dimensional harmonic oscillator on the noncommutative plane with both coordinate-coordinate and momentum-momentum couplings is exactly solved.

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