# 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} }

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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