N-dimensional Heisenberg's uncertainty principle for fractional Fourier transform.

@article{Zhang2019NdimensionalHU,
  title={N-dimensional Heisenberg's uncertainty principle for fractional Fourier transform.},
  author={Zhichao Zhang},
  journal={arXiv: Mathematical Physics},
  year={2019}
}
  • Zhichao Zhang
  • Published 13 June 2019
  • Mathematics
  • arXiv: Mathematical Physics
A sharper uncertainty inequality which exhibits a lower bound larger than that in the classical N-dimensional Heisenberg's uncertainty principle is obtained, and extended from N-dimensional Fourier transform domain to two N-dimensional fractional Fourier transform domains. The conditions that reach the equality relation of the uncertainty inequalities are deduced. Example and simulation are performed to illustrate that the newly derived uncertainty principles are truly sharper than the existing… 
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