• DOI:10.3390/e20100787
Corpus ID: 56174915

Variations à la Fourier-Weyl-Wigner on Quantizations of the Plane and the Half-Plane

@article{Bergeron2018VariationsL,
  title={Variations {\`a} la Fourier-Weyl-Wigner on Quantizations of the Plane and the Half-Plane},
  author={H. Bergeron and J. Gazeau},
  journal={Entropy},
  year={2018},
  volume={20}
}

H. Bergeron, J. Gazeau

Published 2018

Computer Science, Medicine

Entropy

Any quantization maps linearly function on a phase space to symmetric operators in a Hilbert space. Covariant integral quantization combines operator-valued measure with the symmetry group of the phase space. Covariant means that the quantization map intertwines classical (geometric operation) and quantum (unitary transformations) symmetries. Integral means that we use all resources of integral calculus, in order to implement the method when we apply it to singular functions, or distributions… CONTINUE READING

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