Journal of Modern Physics

Volume 4, Issue 10 (October 2013)

ISSN Print: 2153-1196   ISSN Online: 2153-120X

Google-based Impact Factor: 0.86  Citations  h5-index & Ranking

Noncommutative Phase Space and the Two Dimensional Quantum Dipole in Background Electric and Magnetic Fields

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DOI: 10.4236/jmp.2013.410168    3,655 Downloads   5,385 Views  Citations

ABSTRACT

The two dimensional quantum dipole springs in background uniform electric and magnetic fields are first studied in the conventional commutative coordinate space, leading to rigorous results. Then, the model is studied in the framework of the noncommutative (NC) phase space. The NC Hamiltonian and angular momentum do not commute any more in this space. By the means of the su(1,1) symmetry and the similarity transformation, exact solutions are obtained for both the NC angular momentum and the NC Hamiltonian.

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A. Dossa and G. Avossevou, "Noncommutative Phase Space and the Two Dimensional Quantum Dipole in Background Electric and Magnetic Fields," Journal of Modern Physics, Vol. 4 No. 10, 2013, pp. 1400-1411. doi: 10.4236/jmp.2013.410168.

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