Corpus ID: 208263472

N ov 2 01 3 INTEGRAL QUANTIZATIONS WITH TWO BASIC EXAMPLES

@inproceedings{Bergeron2019NO2,
  title={N ov 2 01 3 INTEGRAL QUANTIZATIONS WITH TWO BASIC EXAMPLES},
  author={H. Bergeron and J. Gazeau},
  year={2019}
}
  • H. Bergeron, J. Gazeau
  • Published 2019
  • The paper concerns integral quantization, a procedure based on operatorvalued measure and resolution of the identity. We insist on covariance properties in the important case where group representation theory is involved. We also insist on the inherent probabilistic aspects of this classical-quantum map. The approach includes and generalizes coherent state quantization. Two applications based on group representation are carried out. The first one concerns the Weyl-Heisenberg group and the… CONTINUE READING

    References

    SHOWING 1-10 OF 58 REFERENCES
    Phase space quantization and the operator moment problem
    • 20
    An integral transform related to quantization
    • 46
    • PDF
    Dirac Formalism and Symmetry Problems in Quantum Mechanics. II. Symmetry Problems
    • 48
    Quantum mechanics beyond hilbert space
    • 34
    An affinity for affine quantum gravity
    • 15
    • PDF
    Linearized quantum gravity using the projection operator formalism
    • 6
    • PDF
    On the distributions corresponding to bounded operators in the Weyl quantization
    • 58
    • PDF
    Affine quantization and the initial cosmological singularity
    • 27
    • PDF