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Quantum Simulation Entanglement Theory Quantum Correlations Quantum State Preparation Representation

Covariant Affine Integral Quantization(s)

arXiv
Authors: Jean Pierre Gazeau, Romain Murenzi

Year

2015

Paper ID

4394

Status

Preprint

Abstract Read

~2 min

Abstract Words

94

Citations

N/A

Abstract

Covariant affine integral quantization of the half-plane is studied and applied to the motion of a particle on the half-line. We examine the consequences of different quantizer operators built from weight functions on the half-plane. To illustrate the procedure, we examine two particular choices of the weight function, yielding thermal density operators and affine inversion respectively. The former gives rise to a temperature-dependent probability distribution on the half-plane whereas the later yields the usual canonical quantization and a quasi-probability distribution (affine Wigner function) which is real, marginal in both momentum p and position q.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • Covariant affine integral quantization of the half-plane is studied and applied to the motion of a particle on the half-line.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1512.08274 [2] arXiv https://arxiv.org/abs/1512.08274 [3] Publisher https://arxiv.org/abs/1512.08274

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