On the spectra of noncommutative 2D harmonic oscillator |
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| Authors: | Jian Jing Shi-Hua Zhao Jian-Feng Chen Zheng-Wen Long |
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| Institution: | (1) Key Lab for Nanomaterials, Ministry of Education, Beijing University of Chemical Technology, 100029 Beijing, P.R. China;(2) School of Basic Science & Arts, China University of Mining and Technology (Beijing), 100083 Beijing, P.R. China;(3) Laboratory for Photoelectric Technology and Application, Department of Physics, GuiZhou University, 550025 GuiYang, P.R. China |
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| Abstract: | The spectra and wave functions of the 2-dimensional harmonic oscillator in a noncommutative plane are revised by using the
path integral formulation in coordinate space and momentum space, respectively. We perform the path integral formulation in
coordinate space first. Then we study this problem in momentum space. The propagator is computed both in coordinate space
and in momentum space. The modification due to noncommutativity of eigenvalues and eigenfunctions is studied. Both the small
and large noncommutative parameter limits are discussed.
PACS 11.10.Ef |
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| Keywords: | |
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