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The European Physical Journal C

, Volume 56, Issue 4, pp 591–595 | Cite as

A mapping-independent analysis for the spectra of the non-commutative two-dimensional harmonic oscillator

  • Jian JingEmail author
  • Jun-Ying Ma
  • Yong-Hong Guo
  • Jian-Feng Chen
Regular Article - Theoretical Physics

Abstract

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 

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2008

Authors and Affiliations

  • Jian Jing
    • 1
    Email author
  • Jun-Ying Ma
    • 2
  • Yong-Hong Guo
    • 2
  • Jian-Feng Chen
    • 1
  1. 1.Key Lab for Nanomaterials, Ministry of EducationBeijing University of Chemical TechnologyBeijingPeople’s Republic of China
  2. 2.Department of Physics and Electronic, School of ScienceBeijing University of Chemical TechnologyBeijingPeople’s Republic of China

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