Covariant affine integral quantization of the half-plane ℝ×ℝ+\{0} is presented .We examine the consequences of different quantizer operators built from weight functions on the half-plane. One of these weights yields the usual canonical quantization and a quasi-probability distribution (affine Wigner function) which is real, marginal in both position and momentum vectors. An extension to the phase space for the motion of a particle in the punctured plane and its application to the quantum rotating frame are mentioned.
Mar 12, 2019 Geometric Methods in Physics. XXXVI Workshop 2017Trends in Mathematics, 39–45, Springer Nature Switzerland AG 2019.
https://link.springer.com/chapter/10.1007/978-3-030-01156-7_5
Mar 12, 2019 Geometric Methods in Physics. XXXVI Workshop 2017Trends in Mathematics, 39–45, Springer Nature Switzerland AG 2019.
https://link.springer.com/chapter/10.1007/978-3-030-01156-7_5
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