Isotropic representation of noncommutative 2D harmonic oscillator
classification
✦ hep-th
quant-ph
keywords
isotropicnoncommutativerepresentationharmonicoscillatoranisotropicbackcommutative
read the original abstract
We show that 2D noncommutative harmonic oscillator has an isotropic representation in terms of commutative coordinates. The noncommutativity in the new mode, induces energy level splitting, and is equivalent to an external magnetic field effect. The equivalence of the spectra of the isotropic and anisotropic representation is traced back to the existence of SU(2) invariance of the noncommutative model.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.