Time quantization and q-deformations

@article{Albanese2003TimeQA,
  title={Time quantization and q-deformations},
  author={Claudio Albanese and Stephan Lawi},
  journal={Journal of Physics A},
  year={2003},
  volume={37},
  pages={2983-2987}
}
We extend to quantum mechanics the technique of stochastic subordination, by means of which one can express any semi-martingale as a time-changed Brownian motion. As examples, we considered two versions of the q-deformed harmonic oscillator in both ordinary and imaginary time and show how these various cases can be understood as different patterns of time quantization rules. 

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