https://doi.org/10.1140/epjc/s10052-008-0682-7
Regular Article - Theoretical Physics
A mapping-independent analysis for the spectra of the non-commutative two-dimensional harmonic oscillator
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
* e-mail: jingjian@mail.buct.edu.cn
Received:
31
March
2008
Revised:
30
June
2008
Published online:
1
August
2008
We propose a mapping-independent method to analyze the spectra of the non-commutative two-dimensional harmonic oscillator. The path integral formulation is applied and an effective Lagrangian is obtained. The spectra are read off directly and the question of uniqueness is answered.
PACS: 11.10.Ef – / 11.10.Nx –
© Springer-Verlag , 2008
