2014/09/11 by Marilena Ligabò, Ligabò, Marilena
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Physics and Astronomy · #81S30 #81Sxx #Advanced Algebra and Geometry #FOS: Physical sciences #Fractal and DNA sequence analysis #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #math-ph #math.MP #msc:81S30 #msc:81Sxx #quant-ph
paper · pdf · doi:10.48550/arxiv.1409.3345
arxiv created 2014/09/11 · openalex publication_date 2014/09/11 · arxiv updated 2014/10/14 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
The Weyl quantization of classical observables on the torus (as phase space) without regularity assumptions is explicitly computed. The equivalence class of symbols yielding the same Weyl operator is characterized. The Heisenberg equation for the dynamics of general quantum observables is written through the Moyal brackets on the torus and the support of the Wigner transform is characterized. Finally, a dequantization procedure is introduced that applies, for instance, to the Pauli matrices. As a result we obtain the corresponding classical symbols.