https://doi.org/10.1140/epjc/s10052-008-0560-3
Regular Article - Theoretical Physics
On the spectra of noncommutative 2D harmonic oscillator
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
* e-mail: jingjian@mail.buct.edu.cn
Received:
19
September
2007
Published online:
8
March
2008
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.
© Springer-Verlag / Società Italiana di Fisica, 2008
