Crypto-harmonic oscillator in higher dimensions: classical and quantum aspects

@article{Ghosh2007CryptoharmonicOI,
  title={Crypto-harmonic oscillator in higher dimensions: classical and quantum aspects},
  author={Subir Kumar Ghosh and Bibhas Ranjan Majhi},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2007},
  volume={41},
  pages={065306}
}
  • S. GhoshB. R. Majhi
  • Published 27 September 2007
  • Physics
  • Journal of Physics A: Mathematical and Theoretical
We study complexified harmonic oscillator models in two and three dimensions. Our work is a generalization of the work of Smilga (2007 Preprint 0706.4064 (J. Phys. A: Math. Theor. at press)) who initiated the study of these Crypto-gauge invariant models that can be related to PT-symmetric models. We show that rotational symmetry in higher spatial dimensions naturally introduces more constraints (in contrast to Smilga (2007 Preprint 0706.4064 (J. Phys. A: Math. Theor. at press)) where one deals… 
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