Non-commutative harmonic oscillator in magnetic field and continuous limit |
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| Authors: | Jian Jing and Jian-Feng Chen |
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| Institution: | (1) Key Lab for Nanomaterials, Ministry of Education, Beijing University of Chemical Technology, Beijing, 100029, People’s Republic of China;(2) Department of Physics and Electronic, School of Science, Beijing University of Chemical Technology, Beijing, 100029, People’s Republic of China |
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| Abstract: | The spectra of a charged harmonic oscillator minimally coupled to a perpendicular magnetic field in the non-commutative plane
are studied by using the path integral formulation. We get the spectra in a mapping-independent way. Interestingly, we find
that the spectra have no continuous limit when the dimensionless parameter tends to zero. In order to get a finite result,
a truncation is inevitable. Finally, we give a reasonable explanation of truncation from the constrained theory point of view. |
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| Keywords: | PACS" target="_blank">PACS 11 10 Ef 11 10 Nx |
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